Table of Contents

Submitter Details

Name: Ranjana Rajendran

Email: ranjana.rajendran@gmail.com

Name: Social Network Graph Mini Project

Summary

In this project, we studied the characteristics of nodes of facebook_combined.txt dataset which is a set of edges between unlabelled nodes. During this study, we derived Local features from the graph. The features were scaled and outliers reduced and removed. Principal components were derived from them. The processed local features obtained were then engineered to cluster the nodes of the graph using several algorithms. The clusters obtained were then evaluated utilizing the following three scoring metrics: (Descriptions are from ChatGPT)

  1. Silhoutte Score
  • The silhouette score measures how similar an object is to its own cluster compared to other clusters. It ranges from -1 to 1, where a high value indicates that the object is well matched to its own cluster and poorly matched to neighboring clusters.
  • Range: -1 (worst) to 1 (best)
  • Higher silhouette score implies better clustering.
  1. Calinski-Harabasz (CH) index
  • The Calinski-Harabasz index is the ratio of between-cluster dispersion to within-cluster dispersion. It measures the separation between clusters and the compactness of clusters.
  • Higher values indicate better-defined clusters.
  • It is computed as the ratio of the sum of between-clusters dispersion and the sum of within-cluster dispersion.
  1. Davies boudin index
  • The Davies-Bouldin index measures the average similarity between each cluster and its most similar cluster, where similarity is defined as the ratio of within-cluster distance to between-cluster distance.
  • Lower values indicate better clustering.
  • It is computed as the average similarity over all clusters.

The following features were used for the clustering although several others were also derived and experimented with in the process:

  1. Centrality measures : Degree, eigenvector, closeness, betweenness, subgraph
  • Centrality measures are metrics used in network analysis to quantify the importance or influence of nodes within a network. These measures help identify nodes that play key roles in the network structure.
    • Degree centrality : For this we derived degree centrality over ego graph around each node.
    • Eigen vector centrality measures the influence of a node in a network based on the centrality of its neighbors.
    • Closeness centrality measures how close a node is to all other nodes in the network, considering the shortest paths between them.
    • Betweenness centrality quantifies the extent to which a node lies on the shortest paths between pairs of other nodes in the network.
    • Subgraph centrality measures the centrality of a node by summing the closed walks that pass through the node, weighted by their lengths.
  1. Estrada index
  • This was computed over each ego graph.
  • Estrada's graph eigenvalue index, is a measure used in network science to quantify the global centrality or complexity of a network. It is based on the eigenvalues of the adjacency matrix of the network.
  1. Cluster Coefficient
  • Measure used in network analysis to quantify the degree to which nodes in a graph tend to cluster together
  1. Minimum generalized degree
  • Concept used to extend the notion of node degree to include higher-order interactions beyond direct connections. It quantifies the extent to which a node is involved in interactions of various orders, such as triangles, squares, or higher-order motifs.

The following algorithms were utilized for clustering the nodes. Detailed analysis was performed including visualization of the histogram plots of the nodes and graphical view of the clusters. The values for the scoring indices are as follows:

Note: The following cell should be rendered only after all the other cells in this notebook are rendered.

In [ ]:
cluster_metrics_df_formatted
Out[ ]:
Number of Clusters Silhouette Index Calinski-Harbasz Index Davies-Bouldin Index
Algorithm
KMeans 8 0.510123 8650.418965 0.667182
KMeans 29 0.356572 10702.355179 0.841812
KMeans 12 0.452764 9090.082715 0.685359
Agglomerative with Ward Linkage 8 0.728877 8813.655868 0.437337
Agglomerative with Ward Linkage 13 0.438864 10169.876341 0.651856
Agglomerative with Ward Linkage with Outliers included 8 0.708733 7540.989843 0.545028
Agglomerative with Complete Linkage 8 0.728877 8813.655868 0.437337
Agglomerative with Complete Linkage 12 0.442282 8941.901223 0.565496
Agglomerative with Complete Linkage 8 0.589275 2651.241601 0.594131
Agglomerative with Complete Linkage with outliers included 8 0.589275 2651.241601 0.594131
DBScan 13 0.735922 6290.139479 1.207911
DBScan 8 0.736988 8396.052815 0.327960
DBScan 10 0.733520 6466.705401 0.567785
DBScan with outliers 10 0.733520 6466.705401 0.567785
DBScan 10 0.734212 7627.829226 0.284911
DBScan 9 0.736988 8396.052815 0.327960
DBScan 9 0.736988 8396.052815 0.327960
DBScan 10 0.734212 7627.829226 0.284911
Birch 10 0.673490 8561.215633 0.429810
Birch 10 0.673490 8561.215633 0.429810
KMeans on Birch cluster centers 10 0.689247 8753.610404 0.407238
KMeans 8 0.510123 8650.418965 0.667182
Birch on KMeans cluster centers 8 0.711709 8893.322613 0.551294
KMeans 8 0.510123 8650.418965 0.667182
Birch on KMeans cluster centers 6 0.711709 8893.322613 0.551294
Birch on KMeans cluster centers 6 0.711709 8893.322613 0.551294
Birch on KMeans cluster centers 6 0.711709 8893.322613 0.551294
GMM 5 0.705475 9038.533862 0.464817
Affinity Propogation 1881 0.125468 377.316021 0.414840
Affinity Propogation 986 0.164268 164.997224 0.455676
Affinity Propogation 2866 0.060668 46.184668 0.194667
Affinity Propogation 1108 0.155774 129.472195 0.490500
Affinity Propogation 986 0.164268 164.997224 0.455676
Optics 9 0.703212 5965.825815 0.887836
Optics 11 0.710864 5945.352541 0.873533
Optics 11 0.717985 6435.354105 0.754533

Mount drive and install libraries

In [ ]:
from google.colab import drive
drive.mount('/content/drive')
prefix_path = '/content/drive/MyDrive/ML-SwitchUP/Mini Project/Graph/'
Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount("/content/drive", force_remount=True).
In [ ]:
import networkx as nx
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import os
In [ ]:
!pip install pycaret
! pip install g-stat
!pip install sklearn-som
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EDA

Plot Graph

In [ ]:
nx_graph = nx.read_edgelist(prefix_path + 'facebook_combined.txt', create_using = nx.Graph(), nodetype = int)
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, node_size=10, node_color = 'orange', alpha = 0.5, with_labels = False, edge_color='gray', width=1)
plt.axis('off')
plt.title("Facebook Combined Graph")
plt.show()
plt.savefig(prefix_path + "facebook_combined_graph.png")
No description has been provided for this image
<Figure size 640x480 with 0 Axes>

Community Detection Algorithms

In [ ]:
from networkx.algorithms import community
import matplotlib.pyplot as plt
import seaborn as sns

Evaluation criteria - Modularity

In [ ]:
# Modularity will be computed for each community detection algorithm
def compute_metrics(communities):
    n_communities = len(communities)
    modularity = community.modularity(nx_graph, communities)
    print("Number of communities:", n_communities)
    print("Modularity:", modularity)
    return n_communities, modularity

According to ChatGPT : In the context of community detection in network analysis, a higher modularity value indicates a better division of the network into communities. Modularity measures the strength of the division of a network into communities compared to a random network with the same degree distribution.

The modularity value ranges from -1 to 1, where:

  • Values close to 1 indicate a network that is highly modular, meaning that the nodes within communities are much more densely connected compared to nodes in different communities.
  • Values close to 0 suggest that the network's division into communities is not significantly different from what would be expected in a random network.
  • Negative values indicate that the network is less modular than a random network.

While there isn't a universally agreed-upon threshold for what constitutes a "good" modularity value, generally speaking, values above 0.3 or 0.4 are often considered indicative of meaningful community structure in many real-world networks.

In [ ]:
metrics_df = pd.DataFrame(columns=['Algorithm', 'Number of Communities', 'Modularity'])

Clauset-Newman-Moore Algorithm

In [ ]:
communities = list(community.greedy_modularity_communities(nx_graph))
# Create a mapping of node to community index
node_community_map = {node: i for i, community_nodes in enumerate(communities) for node in community_nodes}
metrics_df.loc[len(metrics_df)] = ['Clauset-Newman-Moore', *compute_metrics(communities)]
Number of communities: 13
Modularity: 0.7773775199040279
In [ ]:
# Assign a color to each node based on its community
node_colors = [node_community_map[node] for node in nx_graph.nodes()]

# Draw the graph with nodes colored by their community
plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph,
                 pos=nx.spring_layout(nx_graph, seed = 42),  # You can use any layout here
                 node_color=node_colors,
                 cmap=plt.cm.tab10,  # Colormap for discrete colors
                 node_size=10,
                 with_labels=False,
                 alpha = 0.5,
                 edge_color='gray',
                 width=1)
plt.title("Graph with Greedy Modularity/Clauset-Newman {0} Communities ".format(n_communities))
plt.show()
No description has been provided for this image
In [ ]:
greedy_df = pd.DataFrame([(key, value) for key, value in node_community_map.items()], columns=['Node', 'Community'])
greedy_df.to_csv(prefix_path + "greedy_df.csv", index=False)
greedy_df.head()
Out[ ]:
Node Community
0 1061 0
1 1239 0
2 1271 0
3 3313 0
4 1285 0

Label Propogation

<a id="this-is-formatted-as-code"></a>
# This is formatted as code
In [ ]:
communities = list(community.label_propagation_communities(nx_graph))
metrics_df.loc[len(metrics_df)] = ['Label Propogation', *compute_metrics(communities)]
node_community_map = {node: i for i, community_nodes in enumerate(communities) for node in community_nodes}
lprop_df = pd.DataFrame([(key, value) for key, value in node_community_map.items()], columns=['Node', 'Community'])
lprop_df.to_csv(prefix_path + "lprop_df.csv", index=False)
lprop_df.head()
Number of communities: 44
Modularity: 0.7368407345348218
Out[ ]:
Node Community
0 0 0
1 1 0
2 3 0
3 5 0
4 7 0

Louvain

In [ ]:
communities = list(community.louvain_communities(nx_graph, seed = 42))
metrics_df.loc[len(metrics_df)] = ['Louvain', *compute_metrics(communities)]
# Create a mapping of node to community index
node_community_map = {node: i for i, community_nodes in enumerate(communities) for node in community_nodes}
louvain_df = pd.DataFrame([(key, value) for key, value in node_community_map.items()], columns=['Node', 'Community'])
louvain_df.to_csv(prefix_path + "louvain_df.csv", index=False)
louvain_df.head()
Number of communities: 16
Modularity: 0.8348811587172856
Out[ ]:
Node Community
0 0 0
1 1 0
2 2 0
3 3 0
4 4 0

Plotting this as it has the best modularity score

In [ ]:
# Assign a color to each node based on its community
node_colors = [node_community_map[node] for node in nx_graph.nodes()]

# Draw the graph with nodes colored by their community
plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph,
                 pos=nx.spring_layout(nx_graph, seed = 42),  # You can use any layout here
                 node_color=node_colors,
                 cmap=plt.cm.tab10,  # Colormap for discrete colors
                 node_size=10,
                 with_labels=False,
                 alpha = 0.5,
                 edge_color='gray',
                 width=1)
plt.title("Graph with Louvain Communities ")
plt.show()
No description has been provided for this image

Kernighan Lin

In [ ]:
communities = list(community.kernighan_lin_bisection(nx_graph))
metrics_df.loc[len(metrics_df)] = ['Kernighan Lin', *compute_metrics(communities)]
# Create a mapping of node to community index
node_community_map = {node: i for i, community_nodes in enumerate(communities) for node in community_nodes}
klin_df = pd.DataFrame([(key, value) for key, value in node_community_map.items()], columns=['Node', 'Community'])
klin_df.to_csv(prefix_path + "klin_df.csv", index=False)
klin_df.head()
Number of communities: 2
Modularity: 0.48892591650659967
Out[ ]:
Node Community
0 34 0
1 107 0
2 173 0
3 198 0
4 348 0

Kernighan Lin has a poor modularity score compared to the others above.

Summary about community detection algorithms

In [ ]:
metrics_df.set_index('Algorithm', inplace = True)
print(metrics_df)
                      Number of Communities  Modularity
Algorithm                                              
Clauset-Newman-Moore                     13    0.777378
Label Propogation                        44    0.736841
Louvain                                  16    0.834881
Kernighan Lin                             2    0.488926
In [ ]:
print(metrics_df.to_string())
                      Number of Communities  Modularity
Algorithm                                              
Clauset-Newman-Moore                     13    0.777378
Label Propogation                        44    0.736841
Louvain                                  16    0.834881
Kernighan Lin                             2    0.488926
In [ ]:
fig, axes = plt.subplots(2, 2)

fig.set_size_inches(10, 10)
fig.suptitle("Community Detection Algorithms")

sns.histplot(data=greedy_df, x="Community", ax=axes[0, 0], kde=True)
sns.histplot(data=lprop_df, x="Community", ax=axes[0, 1], kde = True)
sns.histplot(data=louvain_df, x="Community", ax=axes[1, 0], kde = True)
sns.histplot(data=klin_df, x="Community", ax=axes[1, 1], kde = True)
axes[0,0].set_title("Greedy Modularity Communities")
axes[0,1].set_title("Label Propogation Communities")
axes[1,0].set_title("Louvain Communities")
axes[1,1].set_title("Kernighan Lin Communities")

plt.show()
No description has been provided for this image

Now let us try clustering using local features

"Clusters" and "communities" are terms often used in the context of network analysis and data clustering, but they represent different concepts:

  1. Clusters:
  • Clusters typically refer to groups of data points or objects that are similar to each other in some way. The similarity can be defined based on various features or characteristics of the data.
  • Clustering algorithms aim to partition a dataset into clusters such that data points within the same cluster are more similar to each other than to those in other clusters.
  • Clusters can be identified using various clustering techniques such as K-means, hierarchical clustering, DBSCAN, etc.
  • Clusters do not necessarily have any structural implications on the data, and the definition of similarity can vary based on the application.
  1. Communities:
  • Communities refer to groups of nodes in a network (graph) that are densely connected to each other but sparsely connected to nodes outside the community.
  • In the context of network analysis, communities represent cohesive subgroups or modules within a network, where nodes have more connections within their community than across communities.
  • Community detection algorithms aim to uncover these cohesive groups of nodes based on network topology, often by optimizing a certain objective function (e.g., modularity).
  • Communities have structural implications on the network and can reveal underlying patterns of connectivity, modularity, and organization within the network.

In summary, while both clusters and communities involve grouping similar entities together, clusters are more general and apply to any dataset, while communities specifically refer to cohesive groups of nodes within a network. Clustering is concerned with data similarity, whereas community detection focuses on network topology and connectivity patterns.

Extract Features

We will look at global featres first just for exploration. However, we will not use global features for our clustering algorithm. We will derive the global features over ego-graphs instead to use for our clustering algorithm.

What is an ego graph ? According to ChatGPT, ego-graph refers to a subgraph that consists of a central node (called the ego) and its immediate neighbors (called alters or egonet).

Here's a breakdown:

  • Ego Node: The central node of interest in the graph.
  • Ego Network: The ego node and all nodes directly connected to it (its neighbors).
  • Ego Graph: The subgraph containing the ego node and its ego network, including all the edges between the ego node and its neighbors, and among its neighbors.

Graph Global Features

In [ ]:
# Graph features
num_nodes = nx_graph.number_of_nodes()
num_edges = nx_graph.number_of_edges()
average_degree = sum(dict(nx_graph.degree()).values()) / num_nodes
clustering_coefficient = nx.average_clustering(nx_graph)
transitivity = nx.transitivity(nx_graph)
diameter = nx.diameter(nx_graph)
average_shortest_path_length = nx.average_shortest_path_length(nx_graph)
average_path_length = nx.average_shortest_path_length(nx_graph)
degree_pearson_coefficient = nx.degree_pearson_correlation_coefficient(nx_graph)
assortativity = nx.degree_assortativity_coefficient(nx_graph)
global_efficiency = nx.global_efficiency(nx_graph)

# Pagerank is a global measure of centrality and have to be recomputed for ego graphs for each node
pagerank = nx.pagerank(nx_graph)

# the degree centrality is the ratio of degree of a node to total number of nodes. This again is a global feature, so recomputation is needed for ego-graph
degree_centrality = nx.degree_centrality(nx_graph)

print("Graph features:")
print("Number of nodes:", nx_graph.number_of_nodes())
print("Number of edges:", nx_graph.number_of_edges())
print("Average degree:", average_degree)
print("Clustering coefficient:", clustering_coefficient)
print("Transitivity:", transitivity)
print("Diameter:", diameter)
print("Average shortest path length:", average_shortest_path_length)
print("Average path length:", average_path_length)
print("Degree pearson coefficient:", degree_pearson_coefficient)
print("Assortativity:", assortativity)
print("Global Efficiency:", global_efficiency)
print(len(pagerank))
print("PageRank:", pagerank)
Graph features:
Number of nodes: 4039
Number of edges: 88234
Average degree: 43.69101262688784
Clustering coefficient: 0.6055467186200876
Transitivity: 0.5191742775433075
Diameter: 8
Average shortest path length: 3.6925068496963913
Average path length: 3.6925068496963913
Degree pearson coefficient: 0.06357722918564912
Assortativity: 0.06357722918564943
Global Efficiency: 0.30657814798734856
4039
PageRank: {0: 0.006289602618466542, 1: 0.00023590202311540972, 2: 0.00020310565091694567, 3: 0.00022552359869430614, 4: 0.00023849264701222462, 5: 0.00020234812068977809, 6: 0.00018001867135639642, 7: 0.00026267667111515796, 8: 0.00023737300152657922, 9: 0.0006001572433028075, 10: 0.00013504865958890368, 11: 5.2591423276218314e-05, 12: 5.2591423276218314e-05, 13: 0.0003306419576230765, 14: 0.00028864398034146046, 15: 5.2591423276218314e-05, 16: 0.00013324305769198052, 17: 0.00026000987429524483, 18: 5.2591423276218314e-05, 19: 0.00038064314056362173, 20: 0.00029297537600066995, 21: 0.0006928319433106635, 22: 0.00016385672869526872, 23: 0.0004043263404882842, 24: 0.00022824011209266327, 25: 0.0008004126605197681, 26: 0.0006922746319436038, 27: 9.900477693053426e-05, 28: 0.0002552192093758929, 29: 0.00019154955480122382, 30: 0.0002121964513121638, 31: 0.00029936195818065976, 32: 0.00014788937149430478, 33: 9.172093610965165e-05, 34: 9.248443396698941e-05, 35: 7.353643512923525e-05, 36: 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In [ ]:
local_efficiency = nx.local_efficiency(nx_graph)
print("Local Efficiency:", local_efficiency)
# This took a while to run. It will take a long time to run for each sub graph around a node, so running this is not practical per subgraph.
Local Efficiency: 0.7923232824500924

The global features are studied to understand if any can be used for subgraph around each node. Of the above, diameter, avh shortest path length, average path length and global efficiency took longer to compute. We may compute the rest for subgraphs around each node. We will not use any of the gloabl features as such for our task here.

Graph Local Features

In [ ]:
shortest_path_lengths = dict(nx.all_pairs_shortest_path_length(nx_graph))
print(shortest_path_lengths)
IOPub data rate exceeded.
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To change this limit, set the config variable
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Current values:
NotebookApp.iopub_data_rate_limit=1000000.0 (bytes/sec)
NotebookApp.rate_limit_window=3.0 (secs)

shortest_path_lenths precomputed created a dict whch consists for each node, the shortest path length from every other node to it, if one exists. This can be utilized for local graph features.

Features are ensured to be local if the measure would be same for a neighboring point. If not, the feature needs to be computed for an ego-graph instead for the global graph. For example, degree centrality, this is based purely based on degree and a neighbor will not have a similar value if computed over a graph globally. So we need to compute degree centrality over an ego-graph instead of over the full grapg. Same with page rank.

Computing features for ego-graph corresponding to each node

Add blockquote

In [ ]:
ego_page_rank = dict()
transitivity = dict()
ego_degree_centrality = dict()
estrada_index = dict()
# the following will show preferential attachment locally
degree_assortativity_coefficient = dict()
degree_pearson_correlation_coefficient = dict()
avg_jaccard_coefficient = dict()
avg_adamic_adar_index = dict()
avg_preferential_attachment = dict()
In [ ]:
for node in nx_graph.nodes():
  ego_graph = nx.ego_graph(nx_graph, node, 2)
  ego_page_rank[node] = nx.pagerank(ego_graph).get(node, 0)
  transitivity[node] = nx.transitivity(ego_graph)
  ego_degree_centrality[node] = nx.degree_centrality(ego_graph).get(node, 0)
  estrada_index[node] = nx.estrada_index(ego_graph)
  # the following  will help to predict preferential attachment
  degree_assortativity_coefficient[node] = nx.degree_assortativity_coefficient(ego_graph)
  degree_pearson_correlation_coefficient[node] = nx.degree_pearson_correlation_coefficient(ego_graph)
  adamic_adar_index = nx.adamic_adar_index(ego_graph)
  avg_adamic_adar_index[node] = sum(p for _,_,p in adamic_adar_index) / ego_graph.number_of_nodes()
  jaccard_coefficient = nx.jaccard_coefficient(ego_graph)
  avg_jaccard_coefficient[node] = sum(p for _,_,p in jaccard_coefficient) / ego_graph.number_of_nodes()
  preferential_attachment = nx.preferential_attachment(ego_graph)
  avg_preferential_attachment[node] = sum(p for _,_,p in preferential_attachment) / ego_graph.number_of_nodes()
In [ ]:
# Local features
degree = nx.degree(nx_graph)
neighborhood_sizes = dict(degree)
average_neighbor_degree = nx.average_neighbor_degree(nx_graph)
average_degree_connectivity = nx.average_degree_connectivity(nx_graph)
# Coreness measure that quantifies its connectivity within its local neighborhood
coreness = nx.core_number(nx_graph)
# The eccentricity of a node in a graph is the maximum distance or shortest path length from that node to any other node in the graph
eccentricity = nx.eccentricity(nx_graph)
# The number of triangles a node participates in is a measure of its local connectivity or clustering.
triangles = nx.triangles(nx_graph)
# the ratio of the number of squares involving the node to the maximum possible number of squares that could involve the node.
square_clustering = nx.square_clustering(nx_graph)
# the ratio of the number of edges between the neighbors of a node to the maximum possible number of edges between them
cluster_coeffient = nx.clustering(nx_graph)
# eigen vector centrality is based on teh concept that importance of a node is propertional to importance of its neighbors
eigenvector_centrality = nx.eigenvector_centrality(nx_graph)
# betweenness centrality measures the extend to which a node lies on the shortest path between other nodes
betweenness_centrality = nx.betweenness_centrality(nx_graph)
# How close the node is to all other nodes in terms of shortest path length
closeness_centrality = nx.closeness_centrality(nx_graph)
# Sum of the reciplrocals of shortest path lengths to all other nodes
harmonic_centrality = nx.harmonic_centrality(nx_graph)
# The load centrality of a node is the fraction of all shortest paths that pass through that node.
load_centrality = nx.load_centrality(nx_graph)
# subgraph centrality of each node
subgraph_centrality = nx.subgraph_centrality(nx_graph)
# the generalized degree shows how many edges of given triangle multiplicity the node is connected to
gen_degrees = nx.generalized_degree(nx_graph)


print("Local features:")
print(len(transitivity.keys()))
print("Transitivity:", transitivity)
print(len(estrada_index.keys()))
print("Estrada index:", estrada_index)
print(len(degree_assortativity_coefficient.keys()))
print("Degree assortativity coefficient:", degree_assortativity_coefficient)
print(len(degree_pearson_correlation_coefficient.keys()))
print("Degree pearson correlation coefficient:", degree_pearson_correlation_coefficient)
print(len(subgraph_centrality.keys()))
print("Subgraph centrality:", subgraph_centrality)
print(len(degree))
print("Degree:", degree)
print(len(neighborhood_sizes))
print("Neighborhood sizes:", neighborhood_sizes)
print(len(ego_page_rank))
print("EgoPageRank:", ego_page_rank)
print(len(pagerank))
print("PageRank:", pagerank)
print(len(average_neighbor_degree.keys()))
print("Average neighbor degree:", average_neighbor_degree)
print(len(coreness.keys()))
print("Coreness:", coreness)
print(len(eccentricity.keys()))
print("Eccentricity:", eccentricity)
print(len(triangles.keys()))
print("Triangles:", triangles)
print(len(square_clustering.keys()))
print("Square clustering:", square_clustering)
print(len(cluster_coeffient.keys()))
print("Cluster coeffient:", cluster_coeffient)
print(len(degree_centrality.keys()))
print("Degree centrality:", degree_centrality)
print(len(ego_degree_centrality.keys()))
print("Ego degree centrality:", ego_degree_centrality)
print(len(eigenvector_centrality.keys()))
print("Eigenvector centrality:", eigenvector_centrality)
print(len(betweenness_centrality.keys()))
print("Betweenness centrality:", betweenness_centrality)
print(len(closeness_centrality.keys()))
print("Closeness centrality:", closeness_centrality)
print(len(harmonic_centrality.keys()))
print("Harmonic centrality:", harmonic_centrality)
print("Load Centrality:", load_centrality)
print(len(avg_jaccard_coefficient.keys()))
print("Average jaccard coefficient:", avg_jaccard_coefficient)
print(len(avg_adamic_adar_index.keys()))
print("Average adamic adar index:", avg_adamic_adar_index)
print(len(avg_preferential_attachment.keys()))
print("Average preferential attachment:", avg_preferential_attachment)
print(len(subgraph_centrality.keys()))
print("Subgraph centrality:", subgraph_centrality)
Local features:
4039
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4039
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4039
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4039
Degree pearson correlation coefficient: {0: 0.0007528496226523809, 1: -0.14185497536093863, 2: -0.14185497536093863, 3: -0.14185497536093863, 4: -0.14185497536093863, 5: -0.14185497536093863, 6: -0.14185497536093863, 7: -0.11596354825452394, 8: -0.14185497536093863, 9: -0.14185497536093863, 10: -0.14185497536093863, 11: -0.14185497536093863, 12: -0.14185497536093863, 13: -0.14185497536093863, 14: -0.14185497536093863, 15: -0.14185497536093863, 16: -0.14185497536093863, 17: -0.14185497536093863, 18: -0.14185497536093863, 19: -0.14185497536093863, 20: -0.14185497536093863, 21: -0.11596354825452394, 22: -0.14185497536093863, 23: -0.14185497536093863, 24: -0.14185497536093863, 25: -0.14185497536093863, 26: -0.14185497536093863, 27: -0.14185497536093863, 28: -0.14185497536093863, 29: -0.14185497536093863, 30: -0.14185497536093863, 31: -0.14185497536093863, 32: -0.14185497536093863, 33: -0.14185497536093863, 34: -0.1041550530702199, 35: -0.14185497536093863, 36: -0.14185497536093863, 37: 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4039
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4039
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4039
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4039
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4039
Average neighbor degree: {0: 18.959654178674352, 1: 48.23529411764706, 2: 49.9, 3: 59.76470588235294, 4: 42.6, 5: 50.61538461538461, 6: 63.5, 7: 45.9, 8: 48.375, 9: 42.40350877192982, 10: 79.1, 11: 347.0, 12: 347.0, 13: 54.54838709677419, 14: 38.666666666666664, 15: 347.0, 16: 66.88888888888889, 17: 42.76923076923077, 18: 347.0, 19: 33.125, 20: 37.4, 21: 42.4, 22: 53.72727272727273, 23: 28.11764705882353, 24: 41.625, 25: 36.94202898550725, 26: 42.279411764705884, 27: 94.6, 28: 41.76923076923077, 29: 54.0, 30: 59.23529411764706, 31: 50.04347826086956, 32: 66.66666666666667, 33: 174.5, 34: 172.4, 35: 179.5, 36: 45.18181818181818, 37: 347.0, 38: 64.11111111111111, 39: 57.53333333333333, 40: 45.25, 41: 27.791666666666668, 42: 174.5, 43: 347.0, 44: 74.0, 45: 66.25, 46: 79.4, 47: 175.0, 48: 43.72727272727273, 49: 89.0, 50: 63.54545454545455, 51: 69.0, 52: 176.0, 53: 32.483870967741936, 54: 68.875, 55: 70.82352941176471, 56: 40.666666666666664, 57: 46.8, 58: 250.33333333333334, 59: 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397.0, 3408: 413.0, 3411: 73.85483870967742, 3413: 272.6666666666667, 3414: 102.66666666666667, 3415: 72.86206896551724, 3416: 86.33962264150944, 3417: 78.58426966292134, 3418: 120.1, 3419: 82.22222222222223, 3421: 94.15, 3422: 81.425, 3423: 65.25, 3424: 136.71428571428572, 3425: 101.4, 3426: 73.69911504424779, 3427: 107.33333333333333, 3428: 116.0, 3429: 203.0, 3430: 90.71428571428571, 3431: 73.34782608695652, 3432: 146.66666666666666, 3433: 81.70769230769231, 3434: 73.17757009345794, 3435: 82.9795918367347, 3436: 148.42857142857142, 2003: 109.625, 2031: 84.67924528301887, 2155: 98.46341463414635, 2185: 142.7058823529412, 2325: 89.70886075949367, 2330: 128.9375, 1914: 64.12765957446808, 1915: 88.54545454545455, 1917: 164.72105263157894, 1918: 170.2173913043478, 1919: 61.527272727272724, 1921: 69.775, 1922: 75.2, 1923: 83.48214285714286, 1924: 149.66666666666666, 1925: 176.08, 1927: 61.38181818181818, 1928: 86.56521739130434, 1929: 173.5496688741722, 1930: 113.3076923076923, 1931: 69.25641025641026, 1933: 95.0, 1934: 92.5, 1935: 62.56, 1936: 63.5, 1937: 201.0, 1938: 166.74603174603175, 1942: 134.02564102564102, 1943: 164.13020833333334, 1944: 89.03448275862068, 1946: 165.434554973822, 1949: 118.875, 1950: 104.91666666666667, 1952: 120.05882352941177, 1953: 177.3008130081301, 1956: 102.375, 1957: 67.61538461538461, 1958: 70.05882352941177, 1960: 48.58139534883721, 1961: 131.71428571428572, 1962: 166.9090909090909, 1963: 178.34883720930233, 1964: 69.58333333333333, 1965: 93.0, 1966: 163.45348837209303, 1968: 73.31428571428572, 1969: 272.75, 1970: 101.38888888888889, 1971: 167.46022727272728, 1974: 140.42857142857142, 1975: 54.27777777777778, 1977: 112.66666666666667, 1978: 84.46666666666667, 1979: 165.3181818181818, 1980: 59.14035087719298, 1981: 111.10909090909091, 1982: 104.94736842105263, 1983: 159.9396984924623, 1984: 166.77528089887642, 1985: 156.32589285714286, 1986: 165.56209150326796, 1987: 127.83333333333333, 1988: 58.708333333333336, 1989: 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4039
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4039
Eccentricity: {0: 6, 1: 7, 2: 7, 3: 7, 4: 7, 5: 7, 6: 7, 7: 7, 8: 7, 9: 7, 10: 7, 11: 7, 12: 7, 13: 7, 14: 7, 15: 7, 16: 7, 17: 7, 18: 7, 19: 7, 20: 7, 21: 7, 22: 7, 23: 7, 24: 7, 25: 7, 26: 7, 27: 7, 28: 7, 29: 7, 30: 7, 31: 7, 32: 7, 33: 7, 34: 6, 35: 7, 36: 7, 37: 7, 38: 7, 39: 7, 40: 7, 41: 7, 42: 7, 43: 7, 44: 7, 45: 7, 46: 7, 47: 7, 48: 7, 49: 7, 50: 7, 51: 7, 52: 7, 53: 7, 54: 7, 55: 7, 56: 7, 57: 7, 58: 5, 59: 7, 60: 7, 61: 7, 62: 7, 63: 7, 64: 6, 65: 7, 66: 7, 67: 7, 68: 7, 69: 7, 70: 7, 71: 7, 72: 7, 73: 7, 74: 7, 75: 7, 76: 7, 77: 7, 78: 7, 79: 7, 80: 7, 81: 7, 82: 7, 83: 7, 84: 7, 85: 7, 86: 7, 87: 7, 88: 7, 89: 7, 90: 7, 91: 7, 92: 7, 93: 7, 94: 7, 95: 7, 96: 7, 97: 7, 98: 7, 99: 7, 100: 7, 101: 7, 102: 7, 103: 7, 104: 7, 105: 7, 106: 7, 107: 5, 108: 7, 109: 7, 110: 7, 111: 7, 112: 7, 113: 7, 114: 7, 115: 7, 116: 7, 117: 7, 118: 7, 119: 6, 120: 7, 121: 7, 122: 7, 123: 7, 124: 7, 125: 7, 126: 7, 127: 7, 128: 7, 129: 7, 130: 7, 131: 7, 132: 7, 133: 7, 134: 7, 135: 7, 136: 7, 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4039
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4039
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4039
Cluster coeffient: {0: 0.04196165314587463, 1: 0.41911764705882354, 2: 0.8888888888888888, 3: 0.6323529411764706, 4: 0.8666666666666667, 5: 0.3333333333333333, 6: 0.9333333333333333, 7: 0.43157894736842106, 8: 0.6785714285714286, 9: 0.39724310776942356, 10: 0.8222222222222222, 11: 0, 12: 0, 13: 0.6516129032258065, 14: 0.7428571428571429, 15: 0, 16: 0.6666666666666666, 17: 0.7307692307692307, 18: 0, 19: 0.2833333333333333, 20: 0.6857142857142857, 21: 0.3490384615384615, 22: 0.4727272727272727, 23: 0.16911764705882354, 24: 0.9, 25: 0.2885763000852515, 26: 0.4113257243195786, 27: 0.9, 28: 0.7692307692307693, 29: 0.46153846153846156, 30: 0.5, 31: 0.43478260869565216, 32: 1.0, 33: 1.0, 34: 0.6, 35: 1.0, 36: 0.9636363636363636, 37: 0, 38: 0.3611111111111111, 39: 0.49523809523809526, 40: 0.4048625792811839, 41: 0.4673913043478261, 42: 1.0, 43: 0, 44: 1.0, 45: 0.7272727272727273, 46: 1.0, 47: 1.0, 48: 0.329004329004329, 49: 0.5, 50: 0.5636363636363636, 51: 0.8571428571428571, 52: 1.0, 53: 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4039
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4039
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4039
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4039
Betweenness centrality: {0: 0.14630592147442917, 1: 2.7832744209034606e-06, 2: 7.595021178512074e-08, 3: 1.6850656559280464e-06, 4: 1.8403320547933104e-07, 5: 2.205964164092193e-06, 6: 2.4537760730577472e-08, 7: 0.0001702984836730339, 8: 2.7604980821899654e-07, 9: 1.6454236303026905e-05, 10: 4.986739552037655e-08, 11: 0.0, 12: 0.0, 13: 1.7622717578436846e-06, 14: 5.582871686568508e-07, 15: 0.0, 16: 1.9979459275532697e-07, 17: 4.1066669000480344e-07, 18: 0.0, 19: 5.062957964075819e-06, 20: 6.793693332142838e-07, 21: 0.0009380243844653233, 22: 6.703002200833232e-07, 23: 6.860348937590618e-06, 24: 1.3673472422981514e-07, 25: 5.38808313945586e-05, 26: 1.935436798204632e-05, 27: 3.067220091322184e-08, 28: 3.812160659244892e-07, 29: 1.3954817951917517e-06, 30: 1.3694627409316544e-06, 31: 4.932641252790837e-06, 32: 0.0, 33: 0.0, 34: 0.0036020881281963652, 35: 0.0, 36: 2.726417858953052e-08, 37: 0.0, 38: 7.344481172858835e-07, 39: 9.548632622274015e-07, 40: 1.3796059569123122e-05, 41: 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4039
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4039
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0.0, 3911: 0.0, 3912: 1.158373509813624e-07, 3913: 2.0634870393004554e-07, 3914: 8.203109733124996e-07, 3915: 1.9704317899426306e-06, 3916: 4.784863342462607e-07, 3917: 2.4031868585645107e-07, 3918: 2.0656704908357807e-05, 3919: 8.763485975206235e-09, 3920: 1.9948438201440427e-07, 3921: 3.05234426635472e-06, 3922: 0.0, 3923: 1.1655436347024297e-07, 3924: 5.8075826479411836e-06, 3925: 2.4537760730577465e-08, 3926: 6.600282341381388e-06, 3927: 6.672820551574323e-06, 3928: 7.66805022830546e-09, 3929: 9.293785733044457e-07, 3930: 2.0434797378149024e-05, 3931: 5.183439665090059e-06, 3932: 6.952365540330283e-08, 3933: 3.111493399509046e-06, 3934: 2.3550579810429236e-07, 3935: 0.0, 3936: 1.2268880365288746e-08, 3937: 1.098693675651545e-06, 3938: 3.808681741590767e-05, 3939: 0.0, 3940: 3.2400997691967065e-07, 3941: 7.7702908980162e-07, 3942: 0.0, 3944: 1.0831273529429388e-06, 3945: 8.790989378257524e-06, 3946: 1.752697195041247e-08, 3947: 4.959565925730855e-06, 3949: 1.845736204478021e-06, 3950: 3.714249982332625e-06, 3951: 3.549791637245823e-06, 3952: 2.04481339421479e-08, 3953: 3.067220091322184e-08, 3954: 4.089626788429577e-08, 3955: 0.0, 3956: 4.766767729260225e-06, 3957: 9.507258759255795e-07, 3958: 6.65646901387332e-07, 3959: 0.0, 3960: 9.8487861751963e-07, 3963: 9.610622952809508e-08, 3964: 2.1661389889382e-06, 3965: 0.0, 3966: 9.833627390977702e-06, 3967: 1.6995408987976987e-06, 3968: 9.566847464803527e-06, 3969: 1.1814634115401004e-06, 3970: 2.3482147662111032e-07, 3971: 1.0662308547152377e-05, 3972: 3.8187610113470187e-07, 3973: 4.3622685743248874e-08, 3974: 0.0, 3975: 3.864922019834544e-08, 3976: 3.057192290548277e-07, 3977: 4.93601475013753e-08, 3978: 1.2268880365288735e-07, 3979: 1.0576553851410019e-06, 3981: 5.5502077842972845e-08, 3982: 1.585898845313156e-06, 3983: 0.0, 3984: 0.0, 3985: 9.61062295280951e-08, 3986: 3.6923487575535617e-07, 3987: 0.0, 3988: 2.5253445418552643e-07, 3990: 0.0, 3991: 2.04481339421479e-08, 3992: 0.0, 3993: 6.441162191776585e-08, 3994: 6.549245185470797e-07, 3995: 6.391502437917083e-07, 3996: 1.5336100456610918e-07, 3997: 3.0935105492478026e-07, 3998: 2.20985904674784e-06, 3999: 1.2268880365288735e-07, 4000: 6.124216115673292e-07, 4001: 0.0, 4002: 4.805311476404754e-07, 4003: 0.0, 4004: 8.721129126326074e-07, 4005: 0.0, 4006: 0.0, 4007: 0.0, 4008: 0.0, 4009: 2.468381883016424e-07, 4010: 0.0, 4012: 0.0, 4013: 1.0224066971073946e-07, 4014: 1.4651087969548963e-06, 4015: 0.0, 4016: 0.0, 4017: 6.923153920412929e-07, 4018: 2.9795852315701217e-08, 4019: 2.076946176123879e-07, 4020: 5.602788700148522e-07, 4021: 6.350606170032789e-07, 4022: 0.0, 4023: 4.477411042832454e-06, 4024: 0.0, 4025: 0.0, 4026: 3.968398565772558e-07, 4027: 5.766373771685704e-07, 4028: 0.0, 4029: 0.0, 4030: 4.542114780949394e-06, 4032: 0.0, 4033: 0.0, 4034: 0.0, 4035: 0.0, 4036: 0.0, 4037: 7.156846879751761e-08, 4038: 6.338921522065847e-07}
4039
Average jaccard coefficient: {0: 15.929739519059556, 1: 13.781755916589413, 2: 13.781755916589413, 3: 13.781755916589413, 4: 13.781755916589413, 5: 13.781755916589413, 6: 13.781755916589413, 7: 11.671243193887555, 8: 13.781755916589413, 9: 13.781755916589413, 10: 13.781755916589413, 11: 13.781755916589413, 12: 13.781755916589413, 13: 13.781755916589413, 14: 13.781755916589413, 15: 13.781755916589413, 16: 13.781755916589413, 17: 13.781755916589413, 18: 13.781755916589413, 19: 13.781755916589413, 20: 13.781755916589413, 21: 11.671243193887555, 22: 13.781755916589413, 23: 13.781755916589413, 24: 13.781755916589413, 25: 13.781755916589413, 26: 13.781755916589413, 27: 13.781755916589413, 28: 13.781755916589413, 29: 13.781755916589413, 30: 13.781755916589413, 31: 13.781755916589413, 32: 13.781755916589413, 33: 13.781755916589413, 34: 10.650610839987324, 35: 13.781755916589413, 36: 13.781755916589413, 37: 13.781755916589413, 38: 13.781755916589413, 39: 13.781755916589413, 40: 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14.616590677571411, 3881: 14.616590677571411, 3882: 14.616590677571411, 3883: 14.616590677571411, 3884: 14.616590677571411, 3885: 14.616590677571411, 3887: 14.616590677571411, 3888: 14.616590677571411, 3889: 14.616590677571411, 3890: 14.616590677571411, 3891: 14.616590677571411, 3892: 14.616590677571411, 3893: 14.616590677571411, 3894: 14.616590677571411, 3895: 14.616590677571411, 3896: 14.616590677571411, 3897: 14.616590677571411, 3898: 14.616590677571411, 3899: 14.616590677571411, 3900: 14.616590677571411, 3901: 14.616590677571411, 3902: 14.616590677571411, 3903: 14.616590677571411, 3904: 14.616590677571411, 3905: 14.616590677571411, 3906: 14.616590677571411, 3907: 14.616590677571411, 3908: 14.616590677571411, 3909: 14.616590677571411, 3910: 14.616590677571411, 3911: 14.616590677571411, 3912: 14.616590677571411, 3913: 14.616590677571411, 3914: 14.616590677571411, 3915: 14.616590677571411, 3916: 14.616590677571411, 3917: 14.616590677571411, 3918: 14.616590677571411, 3919: 14.616590677571411, 3920: 14.616590677571411, 3921: 14.616590677571411, 3922: 14.616590677571411, 3923: 14.616590677571411, 3924: 14.616590677571411, 3925: 14.616590677571411, 3926: 14.616590677571411, 3927: 14.616590677571411, 3928: 14.616590677571411, 3929: 14.616590677571411, 3930: 14.616590677571411, 3931: 14.616590677571411, 3932: 14.616590677571411, 3933: 14.616590677571411, 3934: 14.616590677571411, 3935: 14.616590677571411, 3936: 14.616590677571411, 3937: 14.616590677571411, 3938: 14.616590677571411, 3939: 14.616590677571411, 3940: 14.616590677571411, 3941: 14.616590677571411, 3942: 14.616590677571411, 3944: 14.616590677571411, 3945: 14.616590677571411, 3946: 14.616590677571411, 3947: 14.616590677571411, 3949: 14.616590677571411, 3950: 14.616590677571411, 3951: 14.616590677571411, 3952: 14.616590677571411, 3953: 14.616590677571411, 3954: 14.616590677571411, 3955: 14.616590677571411, 3956: 14.616590677571411, 3957: 14.616590677571411, 3958: 14.616590677571411, 3959: 14.616590677571411, 3960: 14.616590677571411, 3963: 14.616590677571411, 3964: 14.616590677571411, 3965: 14.616590677571411, 3966: 14.616590677571411, 3967: 14.616590677571411, 3968: 14.616590677571411, 3969: 14.616590677571411, 3970: 14.616590677571411, 3971: 14.616590677571411, 3972: 14.616590677571411, 3973: 14.616590677571411, 3974: 14.616590677571411, 3975: 14.616590677571411, 3976: 14.616590677571411, 3977: 14.616590677571411, 3978: 14.616590677571411, 3979: 14.616590677571411, 3981: 4.797686669637963, 3982: 4.797686669637963, 3983: 4.797686669637963, 3984: 4.797686669637963, 3985: 4.797686669637963, 3986: 4.797686669637963, 3987: 4.797686669637963, 3988: 4.797686669637963, 3990: 4.797686669637963, 3991: 4.797686669637963, 3992: 4.797686669637963, 3993: 4.797686669637963, 3994: 4.797686669637963, 3995: 4.797686669637963, 3996: 4.797686669637963, 3997: 4.797686669637963, 3998: 4.797686669637963, 3999: 4.797686669637963, 4000: 4.797686669637963, 4001: 4.797686669637963, 4002: 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4039
Average adamic adar index: {0: 243.8532716780823, 1: 61.886977482654025, 2: 61.886977482654025, 3: 61.886977482654025, 4: 61.886977482654025, 5: 61.886977482654025, 6: 61.886977482654025, 7: 67.71637001767895, 8: 61.886977482654025, 9: 61.886977482654025, 10: 61.886977482654025, 11: 61.886977482654025, 12: 61.886977482654025, 13: 61.886977482654025, 14: 61.886977482654025, 15: 61.886977482654025, 16: 61.886977482654025, 17: 61.886977482654025, 18: 61.886977482654025, 19: 61.886977482654025, 20: 61.886977482654025, 21: 67.71637001767895, 22: 61.886977482654025, 23: 61.886977482654025, 24: 61.886977482654025, 25: 61.886977482654025, 26: 61.886977482654025, 27: 61.886977482654025, 28: 61.886977482654025, 29: 61.886977482654025, 30: 61.886977482654025, 31: 61.886977482654025, 32: 61.886977482654025, 33: 61.886977482654025, 34: 78.80329183205734, 35: 61.886977482654025, 36: 61.886977482654025, 37: 61.886977482654025, 38: 61.886977482654025, 39: 61.886977482654025, 40: 61.886977482654025, 41: 61.886977482654025, 42: 61.886977482654025, 43: 61.886977482654025, 44: 61.886977482654025, 45: 61.886977482654025, 46: 61.886977482654025, 47: 61.886977482654025, 48: 61.886977482654025, 49: 61.886977482654025, 50: 61.886977482654025, 51: 61.886977482654025, 52: 61.886977482654025, 53: 61.886977482654025, 54: 61.886977482654025, 55: 61.886977482654025, 56: 67.71637001767895, 57: 61.886977482654025, 58: 270.657353632619, 59: 61.886977482654025, 60: 61.886977482654025, 61: 61.886977482654025, 62: 61.886977482654025, 63: 61.886977482654025, 64: 59.758571171935756, 65: 61.886977482654025, 66: 61.886977482654025, 67: 67.71637001767895, 68: 61.886977482654025, 69: 61.886977482654025, 70: 61.886977482654025, 71: 61.886977482654025, 72: 61.886977482654025, 73: 61.886977482654025, 74: 61.886977482654025, 75: 61.886977482654025, 76: 61.886977482654025, 77: 61.886977482654025, 78: 61.886977482654025, 79: 61.886977482654025, 80: 60.95473114487951, 81: 61.886977482654025, 82: 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123: 61.886977482654025, 124: 61.886977482654025, 125: 67.71637001767895, 126: 61.886977482654025, 127: 61.886977482654025, 128: 61.886977482654025, 129: 61.886977482654025, 130: 61.886977482654025, 131: 61.886977482654025, 132: 61.886977482654025, 133: 61.886977482654025, 134: 61.886977482654025, 135: 61.886977482654025, 136: 262.9726817143139, 137: 61.886977482654025, 138: 61.886977482654025, 139: 61.886977482654025, 140: 61.886977482654025, 141: 61.886977482654025, 142: 61.886977482654025, 143: 61.886977482654025, 144: 61.886977482654025, 145: 61.886977482654025, 146: 67.71637001767895, 147: 61.886977482654025, 148: 61.886977482654025, 149: 61.886977482654025, 150: 59.758571171935756, 151: 61.886977482654025, 152: 61.886977482654025, 153: 61.886977482654025, 154: 61.886977482654025, 155: 61.886977482654025, 156: 67.71637001767895, 157: 61.886977482654025, 158: 61.886977482654025, 159: 61.886977482654025, 160: 61.886977482654025, 161: 61.886977482654025, 162: 61.886977482654025, 163: 60.95473114487951, 164: 61.886977482654025, 165: 61.886977482654025, 166: 59.71781193657793, 167: 61.886977482654025, 168: 61.886977482654025, 169: 67.71637001767895, 170: 61.886977482654025, 171: 235.3509780726502, 172: 61.886977482654025, 173: 76.67911557596382, 174: 61.886977482654025, 175: 61.886977482654025, 176: 61.886977482654025, 177: 61.886977482654025, 178: 61.886977482654025, 179: 61.886977482654025, 180: 61.886977482654025, 181: 61.886977482654025, 182: 61.886977482654025, 183: 61.886977482654025, 184: 61.886977482654025, 185: 61.886977482654025, 186: 61.886977482654025, 187: 61.886977482654025, 188: 61.886977482654025, 189: 59.758571171935756, 190: 61.886977482654025, 191: 61.886977482654025, 192: 61.886977482654025, 193: 61.886977482654025, 194: 61.886977482654025, 195: 61.886977482654025, 196: 61.886977482654025, 197: 61.886977482654025, 198: 77.42645892637702, 199: 61.886977482654025, 200: 61.886977482654025, 201: 61.886977482654025, 202: 60.95473114487951, 203: 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61.886977482654025, 244: 61.886977482654025, 245: 61.886977482654025, 246: 67.71637001767895, 247: 61.886977482654025, 248: 61.886977482654025, 249: 61.886977482654025, 250: 61.886977482654025, 251: 61.886977482654025, 252: 61.886977482654025, 253: 61.886977482654025, 254: 61.886977482654025, 255: 61.886977482654025, 256: 61.886977482654025, 257: 61.886977482654025, 258: 61.886977482654025, 259: 61.886977482654025, 260: 61.886977482654025, 261: 61.886977482654025, 262: 61.886977482654025, 263: 61.886977482654025, 264: 61.886977482654025, 265: 61.886977482654025, 266: 61.886977482654025, 267: 61.886977482654025, 268: 61.886977482654025, 269: 60.63649793411444, 270: 61.886977482654025, 271: 61.886977482654025, 272: 61.886977482654025, 273: 61.886977482654025, 274: 61.886977482654025, 275: 61.886977482654025, 276: 61.886977482654025, 277: 61.886977482654025, 278: 61.886977482654025, 279: 61.886977482654025, 280: 61.886977482654025, 281: 61.886977482654025, 282: 61.886977482654025, 283: 61.886977482654025, 284: 61.886977482654025, 285: 67.71637001767895, 286: 61.886977482654025, 287: 61.886977482654025, 288: 61.886977482654025, 289: 61.886977482654025, 290: 61.886977482654025, 291: 61.886977482654025, 292: 61.886977482654025, 293: 61.886977482654025, 294: 61.886977482654025, 295: 61.886977482654025, 296: 61.886977482654025, 297: 61.886977482654025, 298: 61.886977482654025, 299: 61.886977482654025, 300: 61.886977482654025, 301: 61.886977482654025, 302: 61.886977482654025, 303: 61.886977482654025, 304: 67.71637001767895, 305: 61.886977482654025, 306: 61.886977482654025, 307: 61.886977482654025, 308: 67.71637001767895, 309: 61.886977482654025, 310: 61.886977482654025, 311: 61.886977482654025, 312: 61.886977482654025, 313: 61.886977482654025, 314: 61.886977482654025, 315: 67.71637001767895, 316: 61.886977482654025, 317: 61.886977482654025, 318: 61.886977482654025, 319: 61.886977482654025, 320: 61.886977482654025, 321: 61.886977482654025, 322: 67.71637001767895, 323: 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4039
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4039
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In [ ]:
def extract_local_features_nodes(graph):
    local_features = []
    for node in graph.nodes():
      generalized_degree = np.array(list(gen_degrees.get(node, 0).values()), dtype = np.int64)
      min_generalized_degree = np.min(generalized_degree)
      max_generalized_degree = np.max(generalized_degree)
      avg_generalized_degree = sum(generalized_degree) / len(generalized_degree)

      shortest_path_length = shortest_path_lengths.get(node, 0)
      value_excluded = shortest_path_length.pop(node, None)
      min_shortest_path_length = min(shortest_path_length.values())
      max_shortest_path_length = max(shortest_path_length.values())
      avg_shortest_path_length = sum(shortest_path_length.values()) / len(shortest_path_length)

      local_features.append({
            'node': node,
            'avg_jaccard_coefficient': avg_jaccard_coefficient.get(node, 0),
            'avg_adamic_adar_index': avg_adamic_adar_index.get(node,0),
            'avg_preferential_attachment': avg_preferential_attachment.get(node, 0),
            'degree_assortativity_coefficient': degree_assortativity_coefficient.get(node, 0),
            'degree_pearson_coefficient': degree_pearson_correlation_coefficient.get(node, 0),
            'transitivity': transitivity.get(node, 0),
            'estrada_index': estrada_index.get(node, 0),
            'subgraph_centrality': subgraph_centrality.get(node, 0),
            'degree_centrality': degree_centrality.get(node, 0),
            'ego_degree_centrality': ego_degree_centrality.get(node, 0),
            'eigenvector_centrality': eigenvector_centrality.get(node, 0),
            'betweenness_centrality': betweenness_centrality.get(node, 0),
            #'min_local_bridging_centrality': min_local_bridging_centrality,
            #'max_local_bridging_centrality': max_local_bridging_centrality,
            #'avg_local_bridging_centrality': avg_local_bridging_centrality,
            'closeness_centrality': closeness_centrality.get(node, 0),
            'harmonic_centrality': harmonic_centrality.get(node, 0),
            'load_centrality': load_centrality.get(node, 0),
            'degree': neighborhood_sizes.get(node, 0),
            'average_neighbor_degree': average_neighbor_degree.get(node, 0),
            'average_degree_connectivity': average_degree_connectivity.get(node, 0),
            'coreness': coreness.get(node, 0),
            'eccentricity': eccentricity.get(node, 0),
            'triangles': triangles.get(node, 0),
            'square_clustering': square_clustering.get(node, 0),
            'cluster_coeffient': cluster_coeffient.get(node, 0),
            'ego_page_rank': ego_page_rank.get(node, 0),
            'page_rank': pagerank.get(node, 0),
            #'min_shortest_path_length': min_shortest_path_length,
            'max_shortest_path_length': max_shortest_path_length,
            'avg_shortest_path_length': avg_shortest_path_length,
            'min_generalized_degree': min_generalized_degree,
            'max_generalized_degree': max_generalized_degree,
            'avg_generalized_degree': avg_generalized_degree
        })
    return local_features

# Extract local features
local_features_nodes = pd.DataFrame(extract_local_features_nodes(nx_graph))

print(local_features_nodes.head())

local_features_nodes.to_csv(prefix_path + 'local_features_nodes_v3.csv', index=False)
   node  avg_jaccard_coefficient  avg_adamic_adar_index  \
0     0                15.929740             243.853272   
1     1                13.781756              61.886977   
2     2                13.781756              61.886977   
3     3                13.781756              61.886977   
4     4                13.781756              61.886977   

   avg_preferential_attachment  degree_assortativity_coefficient  \
0                 1.258628e+06                          0.000753   
1                 3.324397e+04                         -0.141855   
2                 3.324397e+04                         -0.141855   
3                 3.324397e+04                         -0.141855   
4                 3.324397e+04                         -0.141855   

   degree_pearson_coefficient  transitivity  estrada_index  \
0                    0.000753      0.442791   3.162392e+54   
1                   -0.141855      0.282656   2.777857e+17   
2                   -0.141855      0.282656   2.777857e+17   
3                   -0.141855      0.282656   2.777857e+17   
4                   -0.141855      0.282656   2.777857e+17   

   subgraph_centrality  degree_centrality  ...  triangles  square_clustering  \
0         3.619443e+61           0.085934  ...       2519           0.036465   
1         1.175285e+58           0.004210  ...         57           0.109330   
2         1.546442e+57           0.002476  ...         40           0.135313   
3         1.418711e+58           0.004210  ...         86           0.217994   
4         1.551147e+57           0.002476  ...         39           0.082693   

   cluster_coeffient  ego_page_rank  page_rank  max_shortest_path_length  \
0           0.041962       0.016669   0.006290                         6   
1           0.419118       0.002788   0.000236                         7   
2           0.888889       0.002341   0.000203                         7   
3           0.632353       0.002677   0.000226                         7   
4           0.866667       0.002735   0.000238                         7   

   avg_shortest_path_length  min_generalized_degree  max_generalized_degree  \
0                  2.830114                       1                      29   
1                  3.825904                       1                       6   
2                  3.827637                       1                       4   
3                  3.825904                       1                       5   
4                  3.827637                       1                       6   

   avg_generalized_degree  
0                5.982759  
1                2.428571  
2                2.500000  
3                2.125000  
4                3.333333  

[5 rows x 31 columns]

Check if any node has label

In [ ]:
count = 0
for edge in nx_graph.edges():
  label = nx_graph.edges[edge].get('label')
  if label:
    count += 1
print(count)
0

Create Local Features' DataFrame

In [ ]:
local_features_nodes = pd.read_csv(prefix_path + 'local_features_nodes_v3.csv')
In [ ]:
local_features_nodes.dtypes
Out[ ]:
node                                  int64
avg_jaccard_coefficient             float64
avg_adamic_adar_index               float64
avg_preferential_attachment         float64
degree_assortativity_coefficient    float64
degree_pearson_coefficient          float64
transitivity                        float64
estrada_index                       float64
subgraph_centrality                 float64
degree_centrality                   float64
ego_degree_centrality               float64
eigenvector_centrality              float64
betweenness_centrality              float64
closeness_centrality                float64
harmonic_centrality                 float64
load_centrality                     float64
degree                                int64
average_neighbor_degree             float64
average_degree_connectivity         float64
coreness                              int64
eccentricity                          int64
triangles                             int64
square_clustering                   float64
cluster_coeffient                   float64
ego_page_rank                       float64
page_rank                           float64
max_shortest_path_length              int64
avg_shortest_path_length            float64
min_generalized_degree                int64
max_generalized_degree                int64
avg_generalized_degree              float64
dtype: object
In [ ]:
from collections import Counter
for column in local_features_nodes.columns:
    if local_features_nodes[column].dtype == type(Counter()):
        print(column)

Apply Scaling and transformation

In [ ]:
from sklearn.preprocessing import StandardScaler, PowerTransformer, QuantileTransformer
from sklearn.preprocessing import StandardScaler, PowerTransformer
from sklearn.decomposition import PCA
# Solution
scaler = StandardScaler()
X_scaled = scaler.fit_transform(local_features_nodes.drop(columns = ['node'], axis = 1))

Apply Quantile Transformation

Quantile transformation was found to make the distributions of the features such that it responded better according to clustering metrics. https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.quantile_transform.html mentiones how it reduces the effect of marginal outliers.

In [ ]:
quantile_transformer = QuantileTransformer(output_distribution='normal',random_state = 142) #PowerTransformer(method='yeo-johnson', standardize = True)
local_features_nodes_t = pd.DataFrame(quantile_transformer.fit_transform(X_scaled), columns = local_features_nodes.drop('node', axis =1).columns)
In [ ]:
from scipy.stats import mstats
transformed_data = mstats.winsorize(X_scaled, limits=[0.05, 0.05])

Let us try to come down to the minimal set of columns that will produce meaningful clusters.

In [ ]:
def hist_plots(data, columns, rem_ol=False, thres=0.99, scale_graph=9, n_cols=3, aspect_ratio=2/3 ):
    '''Create multiple Histograms plots using a subset of variables specified.

    Args:
        data: Input data-frame containing variables we wish to plot.
        columns: Listing of column-names we wish to plot.
        rem_ol: Remove observations greater than specific percentile defined by thres argument.
        thres: Percentile that will be used if rem_ol=True.
        scale_graph: Adjust the total size of the graph.
        n_cols: Adjust how many graphs we have on each row.
        aspect_ratio: Adjust the aspect ratio of each individual graph. For squared graphs use 1/1.
    '''

    # Adjusting how many rows the grid will have and proper sizes
    n_rows = len(columns)//n_cols+(len(columns)%n_cols>0)
    fig, axes = plt.subplots(n_rows, n_cols, figsize=(scale_graph, (scale_graph/n_cols)*aspect_ratio*n_rows))

    # Plotting
    fig.suptitle(f'Histograms of {len(columns)} columns',y=1, size=15)
    axes=axes.flatten()
    for i,feature in enumerate(columns):
        if rem_ol:
            lim = data[feature].quantile([thres]).iloc[0]
            x = data[feature][data[feature]<lim]
            print(f'{feature}: Observations greater than P{round(thres*100)} removed')
        else:
            x=data[feature]
        sns.histplot(data=x,ax=axes[i], kde=True)
    plt.tight_layout()

Histogram plot of local features

In [ ]:
X_scaled_df = pd.DataFrame(X_scaled, columns = local_features_nodes.drop('node', axis =1).columns)
#X_cleaned_df = pd.DataFrame(X_cleaned, columns = local_features_nodes.drop('node', axis =1).columns)
In [ ]:
import seaborn as sns
import matplotlib.pyplot as plt
hist_plots(local_features_nodes_t, local_features_nodes_t.columns, rem_ol=True, n_cols = 2)
avg_jaccard_coefficient: Observations greater than P99 removed
avg_adamic_adar_index: Observations greater than P99 removed
avg_preferential_attachment: Observations greater than P99 removed
degree_assortativity_coefficient: Observations greater than P99 removed
degree_pearson_coefficient: Observations greater than P99 removed
transitivity: Observations greater than P99 removed
estrada_index: Observations greater than P99 removed
subgraph_centrality: Observations greater than P99 removed
degree_centrality: Observations greater than P99 removed
ego_degree_centrality: Observations greater than P99 removed
eigenvector_centrality: Observations greater than P99 removed
betweenness_centrality: Observations greater than P99 removed
closeness_centrality: Observations greater than P99 removed
harmonic_centrality: Observations greater than P99 removed
load_centrality: Observations greater than P99 removed
degree: Observations greater than P99 removed
average_neighbor_degree: Observations greater than P99 removed
average_degree_connectivity: Observations greater than P99 removed
coreness: Observations greater than P99 removed
eccentricity: Observations greater than P99 removed
triangles: Observations greater than P99 removed
square_clustering: Observations greater than P99 removed
cluster_coeffient: Observations greater than P99 removed
ego_page_rank: Observations greater than P99 removed
page_rank: Observations greater than P99 removed
max_shortest_path_length: Observations greater than P99 removed
avg_shortest_path_length: Observations greater than P99 removed
min_generalized_degree: Observations greater than P99 removed
max_generalized_degree: Observations greater than P99 removed
avg_generalized_degree: Observations greater than P99 removed
No description has been provided for this image

Correlation of Local features

In [ ]:
plt.figure(figsize=(15,10))
sns.heatmap(local_features_nodes_t.corr(numeric_only=True),annot=True, cmap='coolwarm')
plt.show()
No description has been provided for this image

From the heatmap we can understand that certain features are highly correlated. We need to select only 1 among such groups.

In [ ]:
pattern = r'(_centrality|cluster_coeffient|_index|min_generalized_degree)$'
local_features_nodes_filtered = local_features_nodes_t.filter(regex = pattern).drop(['harmonic_centrality', 'load_centrality', 'avg_adamic_adar_index', 'degree_centrality'], axis = 1)
In [ ]:
import seaborn as sns
import matplotlib.pyplot as plt
plt.figure(figsize=(15,10))
sns.heatmap(local_features_nodes_filtered.corr(numeric_only=True),annot=True, cmap='coolwarm')
plt.show()
No description has been provided for this image

Employ PCA to remove correlation and reduce dimension

In [ ]:
pca = PCA(random_state=123)
pca.fit(local_features_nodes_filtered)
Out[ ]:
PCA(random_state=123)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
In [ ]:
pca.explained_variance_ratio_
Out[ ]:
array([0.49568036, 0.25551552, 0.11718946, 0.05004677, 0.03433468,
       0.0276272 , 0.01384347, 0.00576254])
In [ ]:
var_cumu = np.cumsum(pca.explained_variance_ratio_)
var_cumu
Out[ ]:
array([0.49568036, 0.75119588, 0.86838533, 0.91843211, 0.95276679,
       0.98039399, 0.99423746, 1.        ])
In [ ]:
fig = plt.figure(figsize=[6,4],dpi=100)
plt.plot(var_cumu)
plt.vlines(x=5, ymax=1, ymin=0, colors="r", linestyles="--")
plt.hlines(y=0.98, xmax=10, xmin=0, colors="g", linestyles="--")
plt.ylabel("Cumulative variance explained")
plt.grid(True)
plt.xlabel("Number of components")
plt.show()
No description has been provided for this image
In [ ]:
from sklearn.preprocessing import StandardScaler, PowerTransformer
from sklearn.decomposition import PCA

pca = PCA(n_components=5, random_state=123)
X_pca = pca.fit_transform(local_features_nodes_filtered)
print(X_pca.shape)
(4039, 5)

Evaluation of Principal Components

In [ ]:
X_pca_df = pd.DataFrame(X_pca, columns = ['PC1', 'PC2','PC3', 'PC4', 'PC5'])
In [ ]:
plt.figure(figsize=(15,10))
sns.heatmap(X_pca_df.corr(numeric_only=True),annot=True, cmap='coolwarm')
plt.show()
No description has been provided for this image

Decompose PCA to find contributing features
In [ ]:
## Display the loadings matrix
loadings_matrix = pd.DataFrame(pca.components_, columns=local_features_nodes_filtered.columns)
print("Loadings Matrix:")
print(loadings_matrix)
Loadings Matrix:
   estrada_index  subgraph_centrality  ego_degree_centrality  \
0       0.586708             0.667930               0.108573   
1       0.241068             0.176084              -0.120681   
2       0.280542             0.158275               0.081520   
3       0.290404            -0.218067              -0.514850   
4      -0.488753             0.582648              -0.165009   

   eigenvector_centrality  betweenness_centrality  closeness_centrality  \
0                0.372215                0.166782              0.041557   
1               -0.077541               -0.455836             -0.131522   
2               -0.817262                0.003988             -0.401819   
3                0.184788               -0.566003             -0.109235   
4               -0.146505               -0.134600              0.182661   

   cluster_coeffient  min_generalized_degree  
0          -0.062551               -0.160794  
1           0.488224                0.653343  
2          -0.141848               -0.200217  
3          -0.438325               -0.210890  
4          -0.490319                0.284702  
In [ ]:
# Display the absolute values of the loading matrix
abs_loadings_matrix = loadings_matrix.abs()
print("Absolute Values of Loadings Matrix:")
print(abs_loadings_matrix)

# Identify top contributors for each principal component
top_contributors = abs_loadings_matrix.idxmax()
print("Top Contributors for Each Principal Component:")
print(top_contributors)
Absolute Values of Loadings Matrix:
   estrada_index  subgraph_centrality  ego_degree_centrality  \
0       0.586708             0.667930               0.108573   
1       0.241068             0.176084               0.120681   
2       0.280542             0.158275               0.081520   
3       0.290404             0.218067               0.514850   
4       0.488753             0.582648               0.165009   

   eigenvector_centrality  betweenness_centrality  closeness_centrality  \
0                0.372215                0.166782              0.041557   
1                0.077541                0.455836              0.131522   
2                0.817262                0.003988              0.401819   
3                0.184788                0.566003              0.109235   
4                0.146505                0.134600              0.182661   

   cluster_coeffient  min_generalized_degree  
0           0.062551                0.160794  
1           0.488224                0.653343  
2           0.141848                0.200217  
3           0.438325                0.210890  
4           0.490319                0.284702  
Top Contributors for Each Principal Component:
estrada_index             0
subgraph_centrality       0
ego_degree_centrality     3
eigenvector_centrality    2
betweenness_centrality    3
closeness_centrality      2
cluster_coeffient         4
min_generalized_degree    1
dtype: int64
In [ ]:
tc = pd.DataFrame(top_contributors, columns = ['Top Contributors'])
print('PC1:')
print(tc[tc['Top Contributors'] == 0])
print('PC2:')
print(tc[tc['Top Contributors'] == 1])
print('PC3:')
print(tc[tc['Top Contributors'] == 2])
print('PC4:')
print(tc[tc['Top Contributors'] == 3])
print('PC5:')
print(tc[tc['Top Contributors'] == 4])
PC1:
                     Top Contributors
estrada_index                       0
subgraph_centrality                 0
PC2:
                        Top Contributors
min_generalized_degree                 1
PC3:
                        Top Contributors
eigenvector_centrality                 2
closeness_centrality                   2
PC4:
                        Top Contributors
ego_degree_centrality                  3
betweenness_centrality                 3
PC5:
                   Top Contributors
cluster_coeffient                 4

Remove Outliers

In [ ]:
# Take outliers from the final dataframe
from scipy.stats import zscore

z_scores = zscore(local_features_nodes_filtered)
threshold = 3
print(z_scores.shape)

outliers = np.any((z_scores > threshold) | (z_scores < -threshold), axis = 1)
print(outliers.shape)
outlier_nodes = np.where(outliers)[0]
cluster_nodes = np.where(~outliers)[0]

print("Number of cluster nodes: {0}".format(len(cluster_nodes)))
print("Number of outlier nodes: {0}".format(len(outlier_nodes)))
outlier_nodes
(4039, 8)
(4039,)
Number of cluster nodes: 3821
Number of outlier nodes: 218
Out[ ]:
array([  11,   12,   15,   18,   32,   37,   43,   44,   46,   58,   63,
         74,   78,   86,   93,  102,  107,  110,  114,  131,  135,  195,
        201,  209,  210,  215,  218,  220,  262,  264,  273,  287,  292,
        306,  309,  327,  328,  335,  350,  351,  352,  354,  355,  356,
        371,  396,  397,  404,  431,  502,  582,  605,  631,  692,  832,
        858,  869,  872,  889,  941,  952,  972,  992, 1007, 1046, 1067,
       1137, 1143, 1203, 1216, 1247, 1261, 1319, 1341, 1513, 1516, 1526,
       1603, 1622, 1636, 1696, 1715, 1729, 1731, 1732, 1750, 1754, 1760,
       1763, 1764, 1767, 1776, 1786, 1808, 1812, 1821, 1827, 1831, 1837,
       1844, 1862, 1889, 1894, 1895, 1920, 1946, 1947, 1986, 1996, 1997,
       2000, 2004, 2006, 2011, 2014, 2019, 2021, 2023, 2029, 2033, 2034,
       2036, 2037, 2253, 2298, 2310, 2337, 2384, 2390, 2406, 2419, 2462,
       2531, 2575, 2601, 2612, 2631, 2658, 2682, 2711, 2743, 2754, 2830,
       2846, 2864, 2879, 2883, 2906, 2982, 3059, 3078, 3122, 3139, 3144,
       3158, 3195, 3269, 3313, 3322, 3335, 3342, 3368, 3374, 3415, 3435,
       3489, 3495, 3497, 3521, 3530, 3595, 3598, 3603, 3605, 3613, 3624,
       3642, 3675, 3676, 3678, 3694, 3700, 3708, 3716, 3721, 3730, 3737,
       3748, 3766, 3781, 3812, 3827, 3834, 3857, 3865, 3868, 3875, 3892,
       3905, 3907, 3918, 3919, 3943, 3947, 3969, 3978, 3987, 3992, 4005,
       4009, 4010, 4012, 4016, 4017, 4023, 4025, 4026, 4035])

Observe how the quantile transform has already smoothened out most of the outliers. The few remaining, we will remove. We will have 2 dataframes, one with outliers and one without outliers to observe the perfoamcne of clustering based on the algorithm. nless otherwise mentioned, all clustering will be done on X_pca_cleaned from which outlier points have been removed.

In [ ]:
# Define colors for nodes
colors = ['black' if node in outlier_nodes else 'orange' for node in nx_graph.nodes()]

# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, node_size=10, node_color = colors, alpha = 0.5, with_labels = False, edge_color='gray', width=1)
plt.axis('off')
plt.title("Facebook Combined Graph showing outliers")
plt.show()
plt.savefig(prefix_path + "facebook_combined_graph.png")
No description has been provided for this image
<Figure size 640x480 with 0 Axes>
In [ ]:
# Let us remove these outliers for KMeans done at last. For the rest of the algorithms we won't remove outliers.
local_features_nodes_filtered_forKMeans = local_features_nodes_filtered.drop(outlier_nodes)
print(local_features_nodes_filtered_forKMeans.shape)
(3821, 8)
In [ ]:
local_features_nodes_filtered_outliers = local_features_nodes_filtered.iloc[outlier_nodes]
print(local_features_nodes_filtered_outliers.shape)
(218, 8)
In [ ]:
from sklearn.preprocessing import StandardScaler, PowerTransformer
from sklearn.decomposition import PCA
# Create a boolean mask indicating rows to exclude
mask = np.ones(len(X_pca), dtype=bool)
mask[outlier_nodes] = False

# Apply the mask to the DataFrame
X_pca_cleaned = X_pca[mask]
print(X_pca_cleaned.shape)
X_pca_outliers = X_pca[outlier_nodes]
print(X_pca_outliers.shape)
(3821, 5)
(218, 5)
In [ ]:
! pip install pycaret
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In [ ]:
!pip install --upgrade scikit-learn
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Clustering using Pycaret (KMeans with and without outliers)

In [ ]:
# KMeans without removing outliers
from pycaret.clustering import setup, create_model, plot_model

# Step 3: Apply clustering using PyCaret
exp_clu = setup(X_pca, session_id=123)
kmeans = create_model('kmeans')
#best_model = compare_models()
plot_model(kmeans, plot = 'cluster')
  Description Value
0 Session id 123
1 Original data shape (4039, 5)
2 Transformed data shape (4039, 5)
3 Numeric features 5
4 Preprocess True
5 Imputation type simple
6 Numeric imputation mean
7 Categorical imputation mode
8 CPU Jobs -1
9 Use GPU False
10 Log Experiment False
11 Experiment Name cluster-default-name
12 USI 5911
  Silhouette Calinski-Harabasz Davies-Bouldin Homogeneity Rand Index Completeness
0 0.6058 5211.9350 0.5336 0 0 0
Processing:   0%|          | 0/3 [00:00<?, ?it/s]
In [ ]:
# KMeans after removing outliers
from pycaret.clustering import *

# Step 3: Apply clustering using PyCaret
exp_clu = setup(X_pca_cleaned, session_id=123)
kmeans = create_model('kmeans')
#best_model = compare_models()
plot_model(kmeans, plot = 'cluster')
  Description Value
0 Session id 123
1 Original data shape (3821, 5)
2 Transformed data shape (3821, 5)
3 Numeric features 5
4 Preprocess True
5 Imputation type simple
6 Numeric imputation mean
7 Categorical imputation mode
8 CPU Jobs -1
9 Use GPU False
10 Log Experiment False
11 Experiment Name cluster-default-name
12 USI d64a
  Silhouette Calinski-Harabasz Davies-Bouldin Homogeneity Rand Index Completeness
0 0.6300 5792.1864 0.5228 0 0 0
Processing:   0%|          | 0/3 [00:00<?, ?it/s]

Gap Statistic

We employ Gap statistic to guess the number of clusters possible

In [ ]:
pip install gap-stat
Collecting gap-stat
  Downloading gap-stat-2.0.3.tar.gz (17 kB)
  Installing build dependencies ... done
  Getting requirements to build wheel ... done
  Installing backend dependencies ... done
  Preparing metadata (pyproject.toml) ... done
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Building wheels for collected packages: gap-stat
  Building wheel for gap-stat (pyproject.toml) ... done
  Created wheel for gap-stat: filename=gap_stat-2.0.3-py3-none-any.whl size=6133 sha256=35c1e289f6ff636410ecca0af18510f2b578c1ca36ce337cf9f42d25e68cd907
  Stored in directory: /root/.cache/pip/wheels/e6/75/de/ee29b366258cdeccdacaff94d895b9d2ffc95a486f3b982441
Successfully built gap-stat
Installing collected packages: gap-stat
Successfully installed gap-stat-2.0.3

The gap statistic is a method used to estimate the optimal number of clusters in a dataset for clustering algorithms, such as K-means. It compares the within-cluster dispersion of the data to a null reference distribution generated by a random uniform distribution.

In [ ]:
from sklearn.cluster import KMeans
from gap_statistic import OptimalK

optimalK = OptimalK( parallel_backend='multiprocessing')
n_clusters = optimalK(X_pca_cleaned, cluster_array=range(2,100))

print("Optimal number of clusters:", n_clusters)
Optimal number of clusters: 94

Clustering of Graph Nodes

In [ ]:
from sklearn.cluster import AgglomerativeClustering, DBSCAN, KMeans, Birch, SpectralClustering, AffinityPropagation, MeanShift, OPTICS
from sklearn.mixture import GaussianMixture
from sklearn.metrics import silhouette_score,calinski_harabasz_score,davies_bouldin_score
In [ ]:
cluster_metrics_df = pd.DataFrame(columns=['Algorithm', 'Number of Clusters', 'Silhouette Index', 'Calinski-Harbasz Index', 'Davies-Bouldin Index'])

KMeans

Hyper parameter tuning - finding optimal number of clusters and elbow method

In [ ]:
import sys
# Solution
ssd = []
savg = []
chi = []
dbi = []
num_with_max_silhouette = 0
max_silhouette = 0.0
num_with_max_calinski = 0
max_calinski = 0.0
num_with_min_davies = 0
min_davies = sys.float_info.max
range_n_clusters = range(3,100)#[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,21,22,23,24,25,26,27,28,29, 30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,60,70,80,90,97,100,200]
for num_clusters in range_n_clusters:
    kmeans = KMeans(n_clusters=num_clusters, max_iter=10000, random_state = 42)
    kmeans.fit(X_pca_cleaned)

    # cluster labels
    cluster_labels = kmeans.labels_

    # scores
    silhouette_avg = silhouette_score(X_pca_cleaned, cluster_labels) # Need to be maximized
    ch_index = calinski_harabasz_score(X_pca_cleaned, cluster_labels) # Need to be maximized
    db_index = davies_bouldin_score(X_pca_cleaned, cluster_labels) # Need to be minimized
    inertia = kmeans.inertia_ # Need to be minimized
    savg.append(silhouette_avg * 10000)
    chi.append(ch_index * 10)
    dbi.append(db_index * 10000)
    ssd.append(inertia)# within cluster sum of squares
    print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_clusters, silhouette_avg, ch_index, db_index, inertia))

    if silhouette_avg > max_silhouette:
        max_silhouette = silhouette_avg
        num_with_max_silhouette = num_clusters
    if ch_index > max_calinski:
        max_calinski = ch_index
        num_with_max_calinski = num_clusters
    if db_index < min_davies:
        min_davies = db_index
        num_with_min_davies = num_clusters
print("The number of clusters with the highest silhouette score is {0}".format(num_with_max_silhouette))
print("The highest silhouette score is {0}".format(max_silhouette))
print("The number of clusters with the highest calinski-harabasz index is {0}".format(num_with_max_calinski))
print("The highest calinski-harabasz index is {0}".format(max_calinski))
print("The number of clusters with the lowest davies_bouldin_score is {0}".format(num_with_min_davies))
print("The lowest davies_bouldin_score is {0}".format(min_davies))

plt.plot(range_n_clusters, ssd, '*-' ,color = 'b', label = 'Inertia')
plt.plot(range_n_clusters, savg, '*-',color = 'r', label = 'Silhouette')
plt.plot(range_n_clusters, chi, '*-',color = 'g', label = 'Calinski-Harabasz')
plt.plot(range_n_clusters, dbi, '*-',color = 'y', label = 'Davies-Bouldin')
plt.vlines(x = num_with_max_silhouette, ymin = 0, ymax = 30000, color = 'r', linestyles = 'dashed')
plt.vlines(x = num_with_max_calinski, ymin = 0, ymax = 30000, color = 'g', linestyles = 'dashed')
plt.vlines(x = num_with_min_davies, ymin = 0, ymax = 30000, color = 'y', linestyles = 'dashed')
plt.xlabel('Number of clusters')
plt.legend()
plt.show()
For n_clusters=3, the silhouette score is 0.5166169672091403, the calinski-harabasz index is 2788.0354617968537, the davies_bouldin_score is 0.533314398945515, the inerta is 44767.35533775895
For n_clusters=4, the silhouette score is 0.6111988747485534, the calinski-harabasz index is 3706.882812866632, the davies_bouldin_score is 0.7998469138214948, the inerta is 28237.00314739736
For n_clusters=5, the silhouette score is 0.6796541038463971, the calinski-harabasz index is 6555.610445355743, the davies_bouldin_score is 0.48054453797905533, the inerta is 14076.854825093362
For n_clusters=6, the silhouette score is 0.6857950709265541, the calinski-harabasz index is 6109.0755138724935, the davies_bouldin_score is 0.5712258866498795, the inerta is 12307.289511658217
For n_clusters=7, the silhouette score is 0.47994030287809736, the calinski-harabasz index is 5828.366873044085, the davies_bouldin_score is 0.8106844432415589, the inerta is 10903.720252799307
For n_clusters=8, the silhouette score is 0.7151706322503435, the calinski-harabasz index is 6800.475889191867, the davies_bouldin_score is 0.4761214229363633, the inerta is 8226.961032052966
For n_clusters=9, the silhouette score is 0.5087343765841809, the calinski-harabasz index is 6963.25282947898, the davies_bouldin_score is 0.6531249589388426, the inerta is 7106.897293131806
For n_clusters=10, the silhouette score is 0.5132260675791704, the calinski-harabasz index is 6642.399640439373, the davies_bouldin_score is 0.5888764519789591, the inerta is 6650.42019780297
For n_clusters=11, the silhouette score is 0.5210974398097267, the calinski-harabasz index is 7409.471294848517, the davies_bouldin_score is 0.5633923000227141, the inerta is 5428.556929121595
For n_clusters=12, the silhouette score is 0.5297761979630717, the calinski-harabasz index is 7442.594195362474, the davies_bouldin_score is 0.4685668035872783, the inerta is 4935.278810435951
For n_clusters=13, the silhouette score is 0.4839373284485691, the calinski-harabasz index is 8405.515723190318, the davies_bouldin_score is 0.5206655454346406, the inerta is 4039.2851824264053
For n_clusters=14, the silhouette score is 0.48635000642939186, the calinski-harabasz index is 8552.777897877917, the davies_bouldin_score is 0.4933316510204072, the inerta is 3676.140268001612
For n_clusters=15, the silhouette score is 0.48017678461714786, the calinski-harabasz index is 9011.87777525779, the davies_bouldin_score is 0.5322293557549574, the inerta is 3251.871497939703
For n_clusters=16, the silhouette score is 0.4749554620685276, the calinski-harabasz index is 9221.578103164275, the davies_bouldin_score is 0.5752582705394651, the inerta is 2973.3433409845516
For n_clusters=17, the silhouette score is 0.4448236194247498, the calinski-harabasz index is 8969.85200464894, the davies_bouldin_score is 0.654443645047874, the inerta is 2867.86498473848
For n_clusters=18, the silhouette score is 0.44612734448885416, the calinski-harabasz index is 8798.262765412193, the davies_bouldin_score is 0.6153743553983441, the inerta is 2754.0660883271635
For n_clusters=19, the silhouette score is 0.4468243295880712, the calinski-harabasz index is 8415.110448915999, the davies_bouldin_score is 0.5814988155955387, the inerta is 2719.6776761080905
For n_clusters=20, the silhouette score is 0.4473719159741371, the calinski-harabasz index is 8304.740204491547, the davies_bouldin_score is 0.6070299656163005, the inerta is 2612.50858259577
For n_clusters=21, the silhouette score is 0.45034961220054326, the calinski-harabasz index is 8965.048048350718, the davies_bouldin_score is 0.6440431062197555, the inerta is 2305.189428109234
For n_clusters=22, the silhouette score is 0.3976749597965292, the calinski-harabasz index is 9507.351803378335, the davies_bouldin_score is 0.7043562139874574, the inerta is 2074.154508482834
For n_clusters=23, the silhouette score is 0.38998017493345627, the calinski-harabasz index is 9390.656266183487, the davies_bouldin_score is 0.7254348603417045, the inerta is 2005.2831655382981
For n_clusters=24, the silhouette score is 0.3885283368191914, the calinski-harabasz index is 9514.248914691168, the davies_bouldin_score is 0.722651027078174, the inerta is 1894.6581033918535
For n_clusters=25, the silhouette score is 0.38557525406379384, the calinski-harabasz index is 9619.645222975903, the davies_bouldin_score is 0.7467225912598779, the inerta is 1797.0021913932167
For n_clusters=26, the silhouette score is 0.37677806462129154, the calinski-harabasz index is 9528.725208476066, the davies_bouldin_score is 0.7772483333983848, the inerta is 1741.9576483766193
For n_clusters=27, the silhouette score is 0.3780605695479801, the calinski-harabasz index is 9572.928698002168, the davies_bouldin_score is 0.7718574477694434, the inerta is 1667.948040109158
For n_clusters=28, the silhouette score is 0.3950325023897624, the calinski-harabasz index is 9792.257765138515, the davies_bouldin_score is 0.7438974339643201, the inerta is 1571.2916566015988
For n_clusters=29, the silhouette score is 0.39955075512340676, the calinski-harabasz index is 9844.54086339556, the davies_bouldin_score is 0.7297774700599102, the inerta is 1507.6366800644148
For n_clusters=30, the silhouette score is 0.3946051711337462, the calinski-harabasz index is 9616.152964005782, the davies_bouldin_score is 0.7295543430691023, the inerta is 1490.0817485122861
For n_clusters=31, the silhouette score is 0.3918236923237659, the calinski-harabasz index is 9598.757579082294, the davies_bouldin_score is 0.7374405932489382, the inerta is 1443.3876240189034
For n_clusters=32, the silhouette score is 0.39258863134260963, the calinski-harabasz index is 9582.863535112328, the davies_bouldin_score is 0.7348551049935054, the inerta is 1399.1723518494737
For n_clusters=33, the silhouette score is 0.3935170250204881, the calinski-harabasz index is 9617.764875148578, the davies_bouldin_score is 0.7227003049126326, the inerta is 1350.789294382686
For n_clusters=34, the silhouette score is 0.3633882229623229, the calinski-harabasz index is 9787.253660107097, the davies_bouldin_score is 0.7581183571088479, the inerta is 1287.5978676455095
For n_clusters=35, the silhouette score is 0.35781794500410347, the calinski-harabasz index is 9711.73084192596, the davies_bouldin_score is 0.7758422997159835, the inerta is 1259.4785442192679
For n_clusters=36, the silhouette score is 0.3563543156876699, the calinski-harabasz index is 9645.880920128775, the davies_bouldin_score is 0.783199207966691, the inerta is 1231.85484422675
For n_clusters=37, the silhouette score is 0.3557149821587478, the calinski-harabasz index is 9628.04367310412, the davies_bouldin_score is 0.8009682961936584, the inerta is 1199.9380419901438
For n_clusters=38, the silhouette score is 0.35460999163545803, the calinski-harabasz index is 9729.301561769862, the davies_bouldin_score is 0.8014519618138943, the inerta is 1155.5373491824466
For n_clusters=39, the silhouette score is 0.35860362454643896, the calinski-harabasz index is 9798.416565197162, the davies_bouldin_score is 0.795432838793717, the inerta is 1117.2580303211146
For n_clusters=40, the silhouette score is 0.35831794743885054, the calinski-harabasz index is 9716.35315406352, the davies_bouldin_score is 0.7898010798024241, the inerta is 1097.6832481687734
For n_clusters=41, the silhouette score is 0.3575643402013367, the calinski-harabasz index is 9672.943506849822, the davies_bouldin_score is 0.7952007856579328, the inerta is 1074.9923258921835
For n_clusters=42, the silhouette score is 0.36084849170130817, the calinski-harabasz index is 9692.240080596019, the davies_bouldin_score is 0.7889541822799332, the inerta is 1046.6889438854173
For n_clusters=43, the silhouette score is 0.3626868541426601, the calinski-harabasz index is 9635.230274841897, the davies_bouldin_score is 0.790909869026433, the inerta is 1027.775674796168
For n_clusters=44, the silhouette score is 0.3614123423981333, the calinski-harabasz index is 9609.40584817174, the davies_bouldin_score is 0.7987114565638613, the inerta is 1006.4948131333406
For n_clusters=45, the silhouette score is 0.35863544846665935, the calinski-harabasz index is 9539.709896884293, the davies_bouldin_score is 0.8108662946037701, the inerta is 990.6692248686786
For n_clusters=46, the silhouette score is 0.3576923001409307, the calinski-harabasz index is 9429.742115448016, the davies_bouldin_score is 0.8096334640819883, the inerta is 979.7894993092265
For n_clusters=47, the silhouette score is 0.35381804209844114, the calinski-harabasz index is 9352.976420168683, the davies_bouldin_score is 0.8218001724888726, the inerta is 966.2472809309506
For n_clusters=48, the silhouette score is 0.35268136181790666, the calinski-harabasz index is 9247.769510407548, the davies_bouldin_score is 0.8287263109920956, the inerta is 956.268287709895
For n_clusters=49, the silhouette score is 0.35338412454242923, the calinski-harabasz index is 9393.444214938934, the davies_bouldin_score is 0.8100955021135505, the inerta is 921.8798754908264
For n_clusters=50, the silhouette score is 0.3542404600310112, the calinski-harabasz index is 9410.009952974275, the davies_bouldin_score is 0.8151509379449681, the inerta is 901.4707789190337
For n_clusters=51, the silhouette score is 0.36067429441921206, the calinski-harabasz index is 9508.602243414318, the davies_bouldin_score is 0.7980999493867827, the inerta is 874.2578321257546
For n_clusters=52, the silhouette score is 0.3563321017636576, the calinski-harabasz index is 9462.289439134664, the davies_bouldin_score is 0.8133278413982651, the inerta is 861.1918927768273
For n_clusters=53, the silhouette score is 0.35988627466097145, the calinski-harabasz index is 9497.112553601752, the davies_bouldin_score is 0.8066108556209669, the inerta is 841.4387166619778
For n_clusters=54, the silhouette score is 0.3590878720797007, the calinski-harabasz index is 9450.32860897066, the davies_bouldin_score is 0.8131829427592344, the inerta is 829.5395908348773
For n_clusters=55, the silhouette score is 0.35644153788521327, the calinski-harabasz index is 9667.02090766987, the davies_bouldin_score is 0.8132864467700502, the inerta is 795.9677003265016
For n_clusters=56, the silhouette score is 0.35044468829807995, the calinski-harabasz index is 9707.440466813781, the davies_bouldin_score is 0.8242931026602991, the inerta is 778.1680638556222
For n_clusters=57, the silhouette score is 0.35127047228218394, the calinski-harabasz index is 9678.285738877183, the davies_bouldin_score is 0.8220227824738905, the inerta is 766.4586275701699
For n_clusters=58, the silhouette score is 0.3518774282802165, the calinski-harabasz index is 9735.26994057793, the davies_bouldin_score is 0.8088392664755806, the inerta is 748.5343618545631
For n_clusters=59, the silhouette score is 0.3468022757216717, the calinski-harabasz index is 9672.025303316253, the davies_bouldin_score is 0.818253420318518, the inerta is 740.2822196772845
For n_clusters=60, the silhouette score is 0.3481494641476171, the calinski-harabasz index is 9667.166979622547, the davies_bouldin_score is 0.8193506103632481, the inerta is 728.0968149990734
For n_clusters=61, the silhouette score is 0.34714042188206207, the calinski-harabasz index is 9626.551562899793, the davies_bouldin_score is 0.8288101103413326, the inerta is 718.764313741943
For n_clusters=62, the silhouette score is 0.34656231774827484, the calinski-harabasz index is 9485.809714046143, the davies_bouldin_score is 0.8338775487901441, the inerta is 717.2938746176325
For n_clusters=63, the silhouette score is 0.3452399346831112, the calinski-harabasz index is 9423.768492403115, the davies_bouldin_score is 0.8387777757756346, the inerta is 710.2347937923892
For n_clusters=64, the silhouette score is 0.34389833702966094, the calinski-harabasz index is 9393.981234703302, the davies_bouldin_score is 0.839508048316496, the inerta is 701.054649700476
For n_clusters=65, the silhouette score is 0.34539919995634716, the calinski-harabasz index is 9374.301158696926, the davies_bouldin_score is 0.8413720627345803, the inerta is 691.4723014311476
For n_clusters=66, the silhouette score is 0.34334955106116133, the calinski-harabasz index is 9340.121960937557, the davies_bouldin_score is 0.845527071475458, the inerta is 683.2005755753181
For n_clusters=67, the silhouette score is 0.34162694253157144, the calinski-harabasz index is 9348.703869932551, the davies_bouldin_score is 0.8463445004971137, the inerta is 672.082063861258
For n_clusters=68, the silhouette score is 0.34305067487353286, the calinski-harabasz index is 9337.985325423504, the davies_bouldin_score is 0.8408768564862737, the inerta is 662.695788191814
For n_clusters=69, the silhouette score is 0.34455664471614156, the calinski-harabasz index is 9329.453542991472, the davies_bouldin_score is 0.8373483998651641, the inerta is 653.4581081933047
For n_clusters=70, the silhouette score is 0.34620738103557336, the calinski-harabasz index is 9363.031872479252, the davies_bouldin_score is 0.8331080299392392, the inerta is 641.5819009105421
For n_clusters=71, the silhouette score is 0.3463260850412523, the calinski-harabasz index is 9399.218197570865, the davies_bouldin_score is 0.8390482273287092, the inerta is 629.9075081015353
For n_clusters=72, the silhouette score is 0.3467090860889304, the calinski-harabasz index is 9359.754453930216, the davies_bouldin_score is 0.840941783294462, the inerta is 623.5286433505509
For n_clusters=73, the silhouette score is 0.34786550725707044, the calinski-harabasz index is 9346.288575497985, the davies_bouldin_score is 0.8447989508099182, the inerta is 615.5875497453304
For n_clusters=74, the silhouette score is 0.3471889413586837, the calinski-harabasz index is 9331.106260641465, the davies_bouldin_score is 0.8496311572207315, the inerta is 608.0231056237143
For n_clusters=75, the silhouette score is 0.34665675790619754, the calinski-harabasz index is 9288.788179455047, the davies_bouldin_score is 0.8486036543813469, the inerta is 602.4130707227649
For n_clusters=76, the silhouette score is 0.34343195064856524, the calinski-harabasz index is 9283.61782059085, the davies_bouldin_score is 0.8519126744949755, the inerta is 594.5995153425577
For n_clusters=77, the silhouette score is 0.3436640151671292, the calinski-harabasz index is 9251.837244901388, the davies_bouldin_score is 0.848816514077584, the inerta is 588.6698582957085
For n_clusters=78, the silhouette score is 0.3424904661527012, the calinski-harabasz index is 9256.074380739134, the davies_bouldin_score is 0.853836036639988, the inerta is 580.7189452745813
For n_clusters=79, the silhouette score is 0.34235761008544946, the calinski-harabasz index is 9278.327648218208, the davies_bouldin_score is 0.8584644736528574, the inerta is 571.7546475660338
For n_clusters=80, the silhouette score is 0.3421004277141099, the calinski-harabasz index is 9211.803280425374, the davies_bouldin_score is 0.8565022322885468, the inerta is 568.4627424996283
For n_clusters=81, the silhouette score is 0.3458000525501746, the calinski-harabasz index is 9242.573571478624, the davies_bouldin_score is 0.8605161554395114, the inerta is 559.3862313293257
For n_clusters=82, the silhouette score is 0.3464540159828571, the calinski-harabasz index is 9265.126188935972, the davies_bouldin_score is 0.8527510151820461, the inerta is 551.0473726962877
For n_clusters=83, the silhouette score is 0.346179437438795, the calinski-harabasz index is 9341.626043588018, the davies_bouldin_score is 0.848928541824063, the inerta is 539.7853320572432
For n_clusters=84, the silhouette score is 0.34493418144966975, the calinski-harabasz index is 9317.366558077907, the davies_bouldin_score is 0.8536378041363499, the inerta is 534.5566017475426
For n_clusters=85, the silhouette score is 0.3412978469293086, the calinski-harabasz index is 9265.13857986693, the davies_bouldin_score is 0.8603053028518947, the inerta is 531.0261583871538
For n_clusters=86, the silhouette score is 0.3363652524064671, the calinski-harabasz index is 9346.002463105839, the davies_bouldin_score is 0.8632339220486183, the inerta is 520.1545415677956
For n_clusters=87, the silhouette score is 0.3354463958286473, the calinski-harabasz index is 9259.59453913953, the davies_bouldin_score is 0.8580909758319585, the inerta is 518.7744324673681
For n_clusters=88, the silhouette score is 0.3368486301920201, the calinski-harabasz index is 9324.293414395817, the davies_bouldin_score is 0.8573998956260563, the inerta is 509.16523820726877
For n_clusters=89, the silhouette score is 0.33637516025070374, the calinski-harabasz index is 9289.332489485121, the davies_bouldin_score is 0.8583299273983884, the inerta is 505.16011839580375
For n_clusters=90, the silhouette score is 0.33578815294413145, the calinski-harabasz index is 9245.245554504154, the davies_bouldin_score is 0.8590463454501968, the inerta is 501.7753690002057
For n_clusters=91, the silhouette score is 0.3353168259344611, the calinski-harabasz index is 9231.266472930101, the davies_bouldin_score is 0.8610197157707129, the inerta is 496.8441720018993
For n_clusters=92, the silhouette score is 0.33502718279118027, the calinski-harabasz index is 9215.285676905036, the davies_bouldin_score is 0.8606223112469498, the inerta is 492.1291568786351
For n_clusters=93, the silhouette score is 0.3369040313313189, the calinski-harabasz index is 9254.85894931633, the davies_bouldin_score is 0.860111930250633, the inerta is 484.57010792179915
For n_clusters=94, the silhouette score is 0.3372064496071588, the calinski-harabasz index is 9239.18191081, the davies_bouldin_score is 0.8627677157775643, the inerta is 480.0696020753286
For n_clusters=95, the silhouette score is 0.3383385320179549, the calinski-harabasz index is 9221.147554820016, the davies_bouldin_score is 0.8617098047980257, the inerta is 475.7819493226351
For n_clusters=96, the silhouette score is 0.33960678050733784, the calinski-harabasz index is 9239.953049338308, the davies_bouldin_score is 0.8611514736345128, the inerta is 469.7437356078644
For n_clusters=97, the silhouette score is 0.34005916007126796, the calinski-harabasz index is 9220.902144888878, the davies_bouldin_score is 0.8621231102555366, the inerta is 465.70622337689974
For n_clusters=98, the silhouette score is 0.3399053635344008, the calinski-harabasz index is 9235.857019502293, the davies_bouldin_score is 0.8637441950855114, the inerta is 460.0555211252069
For n_clusters=99, the silhouette score is 0.33938726965444843, the calinski-harabasz index is 9201.608871732886, the davies_bouldin_score is 0.8703425246995355, the inerta is 456.9490475500595
The number of clusters with the highest silhouette score is 8
The highest silhouette score is 0.7151706322503435
The number of clusters with the highest calinski-harabasz index is 29
The highest calinski-harabasz index is 9844.54086339556
The number of clusters with the lowest davies_bouldin_score is 12
The lowest davies_bouldin_score is 0.4685668035872783
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For n_clusters=8, the silhouette score is 0.7151706322503435, the calinski-harabasz index is 6800.475889191867, the davies_bouldin_score is 0.4761214229363633, the inerta is 8226.961032052966

For n_clusters=29, the silhouette score is 0.39955075512340676, the calinski-harabasz index is 9844.54086339556, the davies_bouldin_score is 0.7297774700599102, the inerta is 1507.6366800644148

For n_clusters=12, the silhouette score is 0.5297761979630717, the calinski-harabasz index is 7442.594195362474, the davies_bouldin_score is 0.4685668035872783, the inerta is 4935.278810435951

Best Silhouette clustering
In [ ]:
n = 8

kmeans = KMeans(n_clusters=n, max_iter=10000, random_state=42)
kmeans.fit(X_pca_cleaned)

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['KMeans_cluster_labels_'+str(n)] = kmeans.labels_
X_pca_df.head()

colors = plt.cm.rainbow(np.linspace(0, 1, len(set(kmeans.labels_))))
color_map = {cluster: color for cluster, color in zip(range(0, len(set(kmeans.labels_))), colors)}

unique_labels, label_counts = np.unique(kmeans.labels_, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, kmeans.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, kmeans.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, kmeans.labels_)
inertia = kmeans.inertia_
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_clusters, silhouette_avg, ch_index, db_index, inertia))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["KMeans", n, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['KMeans_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='KMeans_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=label_counts, palette=[color_map[label] for label in unique_labels])
plt.show()
For n_clusters=8, the silhouette score is 0.5101232534273447, the calinski-harabasz index is 8650.418965071463, the davies_bouldin_score is 0.667181677227616, the inerta is 6065.285198477715
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
#nx.draw_networkx(nx_graph, pos, node_size=10, node_color = [color_map[label] if label != -1 else 'black' for label in kmeans.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1, labels = colors)
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in kmeans.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
#nx.draw_networkx(nx_graph, pos, node_size=10, node_color = colors, alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black', alpha = 0.5, with_labels = False, edge_color='gray', width=1)
plt.axis('off')
plt.title("Facebook Combined Graph with KMeans clustering")

plt.show()
plt.savefig(prefix_path + "KMeans_facebook_combined_graph.png")
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<Figure size 800x550 with 0 Axes>

Best calinski-harabasz clustering
In [ ]:
n = 29

kmeans = KMeans(n_clusters=n, max_iter=10000, random_state=42)
kmeans.fit(X_pca_cleaned)

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['KMeans_cluster_labels_'+str(n)] = kmeans.labels_
X_pca_df.head()

colors = plt.cm.rainbow(np.linspace(0, 1, len(set(kmeans.labels_))))
color_map = {cluster: color for cluster, color in zip(range(0, len(set(kmeans.labels_))), colors)}

unique_labels, label_counts = np.unique(kmeans.labels_, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, kmeans.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, kmeans.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, kmeans.labels_)
inertia = kmeans.inertia_
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_clusters, silhouette_avg, ch_index, db_index, inertia))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["KMeans", n, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['KMeans_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='KMeans_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=label_counts, palette=[color_map[label] for label in unique_labels])
plt.show()
For n_clusters=29, the silhouette score is 0.35657213797948667, the calinski-harabasz index is 10702.35517860869, the davies_bouldin_score is 0.8418122448366909, the inerta is 1279.4234586702719
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in kmeans.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black', alpha = 0.5, with_labels = False, edge_color='gray', width=1)
plt.axis('off')
plt.title("Facebook Combined Graph with KMeans clustering for clusters" + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "clusters KMeans_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Best Davies Bouldin clustering
In [ ]:
n = 12

kmeans = KMeans(n_clusters=n, max_iter=10000, random_state=42)
kmeans.fit(X_pca_cleaned)

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['KMeans_cluster_labels_'+str(n)] = kmeans.labels_
X_pca_df.head()

colors = plt.cm.Paired(np.linspace(0, 1, len(set(kmeans.labels_))))
color_map = {cluster: color for cluster, color in zip(range(0, len(set(kmeans.labels_))), colors)}

labels = kmeans.labels_
unique_labels, label_counts = np.unique(labels, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, kmeans.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, kmeans.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, kmeans.labels_)
inertia = kmeans.inertia_
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_clusters, silhouette_avg, ch_index, db_index, inertia))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["KMeans", n, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['KMeans_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='KMeans_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=label_counts, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=12, the silhouette score is 0.4527644715063235, the calinski-harabasz index is 9090.082714580838, the davies_bouldin_score is 0.685358907265227, the inerta is 3757.1287438648073
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in kmeans.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with KMeans clustering for clusters" + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "41 clusters KMeans_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Agglomerative Clustering

Agglomerative with Ward Linkage

Hyper parameter tuning

In [ ]:
max_silhouette = 0
num_with_max_silhouette = 0
max_calinski = 0
num_with_max_calinski = 0
min_davies = 10000
num_with_min_davies = 0
savg = []
chi = []
dbi = []
range_n_clusters = range(3,100)
for n in range_n_clusters:
  ag = AgglomerativeClustering(n_clusters=n, linkage="ward").fit(X_pca_cleaned)
  silhouette_avg = silhouette_score(X_pca_cleaned, ag.labels_)
  ch_index = calinski_harabasz_score(X_pca_cleaned, ag.labels_)
  db_index = davies_bouldin_score(X_pca_cleaned, ag.labels_)
  print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(n, silhouette_avg, ch_index, db_index))
  savg.append(silhouette_avg * 10000)
  chi.append(ch_index * 20)
  dbi.append(db_index * 10000)
  if silhouette_avg > max_silhouette:
    max_silhouette = silhouette_avg
    num_with_max_silhouette = n
  if ch_index > max_calinski:
    max_calinski = ch_index
    num_with_max_calinski = n
  if db_index < min_davies:
    min_davies = db_index
    num_with_min_davies = n

print("The number of clusters with the highest silhouette score is {0}".format(num_with_max_silhouette))
print("The highest silhouette score is {0}".format(max_silhouette))
print("The number of clusters with the highest calinski-harabasz index is {0}".format(num_with_max_calinski))
print("The highest calinski-harabasz index is {0}".format(max_calinski))
print("The number of clusters with the lowest davies_bouldin_score is {0}".format(num_with_min_davies))
print("The lowest davies_bouldin_score is {0}".format(min_davies))

#plt.plot(range_n_clusters, ssd, '*-' ,color = 'b', label = 'Inertia')
plt.plot(range_n_clusters, savg, '*-',color = 'r', label = 'Silhouette')
plt.plot(range_n_clusters, chi, '*-',color = 'g', label = 'Calinski-Harabasz')
plt.plot(range_n_clusters, dbi, '*-',color = 'y', label = 'Davies-Bouldin')
plt.vlines(x = num_with_max_silhouette, ymin = 0, ymax = 30000, color = 'r', linestyles = 'dashed')
plt.vlines(x = num_with_max_calinski, ymin = 0, ymax = 30000, color = 'g', linestyles = 'dashed')
plt.vlines(x = num_with_min_davies, ymin = 0, ymax = 30000, color = 'y', linestyles = 'dashed')
plt.xlabel('Number of clusters')
plt.legend()
plt.show()
For n_clusters=3, the silhouette score is 0.5856244818598493, the calinski-harabasz index is 4173.064445018287, the davies_bouldin_score is 0.9052467323471675
For n_clusters=4, the silhouette score is 0.6301538501927931, the calinski-harabasz index is 5755.4601177295335, the davies_bouldin_score is 0.5116296512262912
For n_clusters=5, the silhouette score is 0.7045867501883923, the calinski-harabasz index is 8940.980750447874, the davies_bouldin_score is 0.4512945146237547
For n_clusters=6, the silhouette score is 0.7109924551484832, the calinski-harabasz index is 8711.609080795903, the davies_bouldin_score is 0.5348681510201396
For n_clusters=7, the silhouette score is 0.7192875379454214, the calinski-harabasz index is 8916.068462470874, the davies_bouldin_score is 0.5348818182266987
For n_clusters=8, the silhouette score is 0.7288773873733558, the calinski-harabasz index is 8813.65586784023, the davies_bouldin_score is 0.437337108761757
For n_clusters=9, the silhouette score is 0.48976924627505575, the calinski-harabasz index is 9066.88113272356, the davies_bouldin_score is 0.6536602815137973
For n_clusters=10, the silhouette score is 0.441952833963271, the calinski-harabasz index is 9564.734186305415, the davies_bouldin_score is 0.6993892545126271
For n_clusters=11, the silhouette score is 0.45034839693179723, the calinski-harabasz index is 9673.520317103634, the davies_bouldin_score is 0.5843536540112733
For n_clusters=12, the silhouette score is 0.42633132493753767, the calinski-harabasz index is 9962.68760618052, the davies_bouldin_score is 0.6599791938848372
For n_clusters=13, the silhouette score is 0.4388637678718568, the calinski-harabasz index is 10169.876340556297, the davies_bouldin_score is 0.6518556137493834
For n_clusters=14, the silhouette score is 0.43385888282400265, the calinski-harabasz index is 10040.842016878516, the davies_bouldin_score is 0.7073037450457708
For n_clusters=15, the silhouette score is 0.40362177192221116, the calinski-harabasz index is 9948.312083157847, the davies_bouldin_score is 0.720268687423615
For n_clusters=16, the silhouette score is 0.4105693113234613, the calinski-harabasz index is 9845.667623851903, the davies_bouldin_score is 0.6881280005185852
For n_clusters=17, the silhouette score is 0.40971651414697996, the calinski-harabasz index is 9718.276703510433, the davies_bouldin_score is 0.7258095271646924
For n_clusters=18, the silhouette score is 0.38254232690074036, the calinski-harabasz index is 9650.785898278446, the davies_bouldin_score is 0.7820168448183397
For n_clusters=19, the silhouette score is 0.3895403754068554, the calinski-harabasz index is 9636.438030833777, the davies_bouldin_score is 0.7797969124823451
For n_clusters=20, the silhouette score is 0.39087010881036965, the calinski-harabasz index is 9636.586171955249, the davies_bouldin_score is 0.7405641158651436
For n_clusters=21, the silhouette score is 0.39742777326595163, the calinski-harabasz index is 9591.428144510694, the davies_bouldin_score is 0.7174377425641554
For n_clusters=22, the silhouette score is 0.39249108926572823, the calinski-harabasz index is 9569.227229677237, the davies_bouldin_score is 0.7325645424578234
For n_clusters=23, the silhouette score is 0.3650757525427699, the calinski-harabasz index is 9589.585730160288, the davies_bouldin_score is 0.772875315868829
For n_clusters=24, the silhouette score is 0.3550752258999701, the calinski-harabasz index is 9639.687892742348, the davies_bouldin_score is 0.8101498731823096
For n_clusters=25, the silhouette score is 0.3557008589783449, the calinski-harabasz index is 9730.90871805334, the davies_bouldin_score is 0.8448397490113213
For n_clusters=26, the silhouette score is 0.3582388253945635, the calinski-harabasz index is 9757.563344076108, the davies_bouldin_score is 0.836779657843681
For n_clusters=27, the silhouette score is 0.3293254962998898, the calinski-harabasz index is 9764.594874732467, the davies_bouldin_score is 0.8823976553240409
For n_clusters=28, the silhouette score is 0.33062077560120723, the calinski-harabasz index is 9770.558965205633, the davies_bouldin_score is 0.8732699071458698
For n_clusters=29, the silhouette score is 0.3391532895815243, the calinski-harabasz index is 9797.424419225137, the davies_bouldin_score is 0.8576752095718929
For n_clusters=30, the silhouette score is 0.3401642918541107, the calinski-harabasz index is 9816.697621552885, the davies_bouldin_score is 0.8412492647223228
For n_clusters=31, the silhouette score is 0.3405183565608579, the calinski-harabasz index is 9798.088994771379, the davies_bouldin_score is 0.8302045179421748
For n_clusters=32, the silhouette score is 0.3401793732786463, the calinski-harabasz index is 9778.654624900179, the davies_bouldin_score is 0.8280316412413545
For n_clusters=33, the silhouette score is 0.33416860984497887, the calinski-harabasz index is 9753.55474801646, the davies_bouldin_score is 0.8420031958427544
For n_clusters=34, the silhouette score is 0.33550507444965877, the calinski-harabasz index is 9737.88343138607, the davies_bouldin_score is 0.8430097116571965
For n_clusters=35, the silhouette score is 0.33257623528429997, the calinski-harabasz index is 9685.092067861597, the davies_bouldin_score is 0.850106316641447
For n_clusters=36, the silhouette score is 0.33133112451015834, the calinski-harabasz index is 9640.980660800215, the davies_bouldin_score is 0.8483919596157355
For n_clusters=37, the silhouette score is 0.3290416546978734, the calinski-harabasz index is 9600.8187078843, the davies_bouldin_score is 0.8548298992913618
For n_clusters=38, the silhouette score is 0.3281134417002189, the calinski-harabasz index is 9559.584556665917, the davies_bouldin_score is 0.8581713846769735
For n_clusters=39, the silhouette score is 0.3302735173970816, the calinski-harabasz index is 9529.10929869429, the davies_bouldin_score is 0.849156968628916
For n_clusters=40, the silhouette score is 0.3327337975032359, the calinski-harabasz index is 9510.37665700737, the davies_bouldin_score is 0.8624248743269863
For n_clusters=41, the silhouette score is 0.3303599415785833, the calinski-harabasz index is 9484.113641325388, the davies_bouldin_score is 0.8630800913377887
For n_clusters=42, the silhouette score is 0.3284492246175378, the calinski-harabasz index is 9451.397268172435, the davies_bouldin_score is 0.8720562002631256
For n_clusters=43, the silhouette score is 0.32799187328117896, the calinski-harabasz index is 9412.292151784017, the davies_bouldin_score is 0.8784600371855323
For n_clusters=44, the silhouette score is 0.3201910092358845, the calinski-harabasz index is 9380.48795777588, the davies_bouldin_score is 0.8880332073163127
For n_clusters=45, the silhouette score is 0.3229093203210845, the calinski-harabasz index is 9353.446568589667, the davies_bouldin_score is 0.8831904980929977
For n_clusters=46, the silhouette score is 0.3227778071046338, the calinski-harabasz index is 9329.550660382107, the davies_bouldin_score is 0.90309769556706
For n_clusters=47, the silhouette score is 0.31657900273725126, the calinski-harabasz index is 9307.489561762477, the davies_bouldin_score is 0.9124344560249259
For n_clusters=48, the silhouette score is 0.31160674691834894, the calinski-harabasz index is 9290.933633762505, the davies_bouldin_score is 0.9094876629509181
For n_clusters=49, the silhouette score is 0.3032788356947464, the calinski-harabasz index is 9275.70839927963, the davies_bouldin_score is 0.9141914486954097
For n_clusters=50, the silhouette score is 0.30396603704047737, the calinski-harabasz index is 9264.206431927882, the davies_bouldin_score is 0.9197000367249792
For n_clusters=51, the silhouette score is 0.30340915745634733, the calinski-harabasz index is 9244.689335475934, the davies_bouldin_score is 0.9186702757671454
For n_clusters=52, the silhouette score is 0.3063815919639611, the calinski-harabasz index is 9225.232147981093, the davies_bouldin_score is 0.9304333031536637
For n_clusters=53, the silhouette score is 0.30736407789903525, the calinski-harabasz index is 9210.572265015637, the davies_bouldin_score is 0.9272793076165977
For n_clusters=54, the silhouette score is 0.3104192204762152, the calinski-harabasz index is 9186.640344513526, the davies_bouldin_score is 0.9152742011885167
For n_clusters=55, the silhouette score is 0.30873368752560526, the calinski-harabasz index is 9162.969940847317, the davies_bouldin_score is 0.9375281499485064
For n_clusters=56, the silhouette score is 0.30952867132340894, the calinski-harabasz index is 9135.379516677609, the davies_bouldin_score is 0.9426623319965086
For n_clusters=57, the silhouette score is 0.307144912246258, the calinski-harabasz index is 9106.872559826836, the davies_bouldin_score is 0.9508906325296912
For n_clusters=58, the silhouette score is 0.3063424863280053, the calinski-harabasz index is 9081.899292440652, the davies_bouldin_score is 0.9500738028326917
For n_clusters=59, the silhouette score is 0.307450071580671, the calinski-harabasz index is 9054.147483500401, the davies_bouldin_score is 0.9460769141643527
For n_clusters=60, the silhouette score is 0.3083806271684907, the calinski-harabasz index is 9030.071618248578, the davies_bouldin_score is 0.9372667979590686
For n_clusters=61, the silhouette score is 0.3100807668123799, the calinski-harabasz index is 9003.322761666584, the davies_bouldin_score is 0.9342746919346464
For n_clusters=62, the silhouette score is 0.31118696235385657, the calinski-harabasz index is 8973.222928180021, the davies_bouldin_score is 0.9379986327940556
For n_clusters=63, the silhouette score is 0.3122121973101325, the calinski-harabasz index is 8945.912935100918, the davies_bouldin_score is 0.9388000278083666
For n_clusters=64, the silhouette score is 0.3119232302437189, the calinski-harabasz index is 8921.970216464217, the davies_bouldin_score is 0.9368601417528524
For n_clusters=65, the silhouette score is 0.31084157229405424, the calinski-harabasz index is 8900.404118514201, the davies_bouldin_score is 0.930912824146662
For n_clusters=66, the silhouette score is 0.31071835821784605, the calinski-harabasz index is 8881.88450427605, the davies_bouldin_score is 0.9297043363606179
For n_clusters=67, the silhouette score is 0.3112095444848548, the calinski-harabasz index is 8863.230486952105, the davies_bouldin_score is 0.9318265994432402
For n_clusters=68, the silhouette score is 0.3111934957235947, the calinski-harabasz index is 8847.501985671734, the davies_bouldin_score is 0.9163480823019292
For n_clusters=69, the silhouette score is 0.31185702964632506, the calinski-harabasz index is 8831.553850602528, the davies_bouldin_score is 0.9191525863745535
For n_clusters=70, the silhouette score is 0.31259903848029424, the calinski-harabasz index is 8817.836183908476, the davies_bouldin_score is 0.9169396202038933
For n_clusters=71, the silhouette score is 0.31093003892819904, the calinski-harabasz index is 8807.219821991412, the davies_bouldin_score is 0.9204013442308082
For n_clusters=72, the silhouette score is 0.3115937996928993, the calinski-harabasz index is 8799.10142676468, the davies_bouldin_score is 0.920108261404732
For n_clusters=73, the silhouette score is 0.3122683948619273, the calinski-harabasz index is 8793.722152958198, the davies_bouldin_score is 0.9116715192475141
For n_clusters=74, the silhouette score is 0.30991796139336075, the calinski-harabasz index is 8788.327030415256, the davies_bouldin_score is 0.9181148101604701
For n_clusters=75, the silhouette score is 0.30893594200797914, the calinski-harabasz index is 8785.916303185859, the davies_bouldin_score is 0.9211654395084224
For n_clusters=76, the silhouette score is 0.3036428768226658, the calinski-harabasz index is 8785.707945497837, the davies_bouldin_score is 0.9285034209449019
For n_clusters=77, the silhouette score is 0.30284576645550587, the calinski-harabasz index is 8783.179784357582, the davies_bouldin_score is 0.9219090426323919
For n_clusters=78, the silhouette score is 0.30094859534592766, the calinski-harabasz index is 8779.447908882203, the davies_bouldin_score is 0.9278106790602019
For n_clusters=79, the silhouette score is 0.3010135570065839, the calinski-harabasz index is 8769.349949968717, the davies_bouldin_score is 0.9252593984392814
For n_clusters=80, the silhouette score is 0.29926225061020933, the calinski-harabasz index is 8757.392193150758, the davies_bouldin_score is 0.9343297293524433
For n_clusters=81, the silhouette score is 0.30002659517340474, the calinski-harabasz index is 8748.029840546224, the davies_bouldin_score is 0.9335097103330348
For n_clusters=82, the silhouette score is 0.2964830986808987, the calinski-harabasz index is 8739.592263496681, the davies_bouldin_score is 0.9386393135273557
For n_clusters=83, the silhouette score is 0.298524596191419, the calinski-harabasz index is 8731.0189296271, the davies_bouldin_score is 0.9400182137202385
For n_clusters=84, the silhouette score is 0.29863219659482476, the calinski-harabasz index is 8719.763447670686, the davies_bouldin_score is 0.937612697506303
For n_clusters=85, the silhouette score is 0.2988308453772111, the calinski-harabasz index is 8709.422523834593, the davies_bouldin_score is 0.9418349436011789
For n_clusters=86, the silhouette score is 0.29997406111889496, the calinski-harabasz index is 8701.228749771626, the davies_bouldin_score is 0.9426641715469007
For n_clusters=87, the silhouette score is 0.3004576728621327, the calinski-harabasz index is 8693.68107259764, the davies_bouldin_score is 0.9359977982677951
For n_clusters=88, the silhouette score is 0.29888472200248944, the calinski-harabasz index is 8682.045712405084, the davies_bouldin_score is 0.9479922399654522
For n_clusters=89, the silhouette score is 0.29977314616767714, the calinski-harabasz index is 8672.271115611156, the davies_bouldin_score is 0.9448077765331822
For n_clusters=90, the silhouette score is 0.30016267428374077, the calinski-harabasz index is 8658.697039612985, the davies_bouldin_score is 0.9454777938704751
For n_clusters=91, the silhouette score is 0.3016238521766025, the calinski-harabasz index is 8644.851405517731, the davies_bouldin_score is 0.9413156834946425
For n_clusters=92, the silhouette score is 0.301836051527881, the calinski-harabasz index is 8632.69002305588, the davies_bouldin_score is 0.9419512456613743
For n_clusters=93, the silhouette score is 0.30298338693381777, the calinski-harabasz index is 8622.286149465872, the davies_bouldin_score is 0.9441063030421547
For n_clusters=94, the silhouette score is 0.30374525844519645, the calinski-harabasz index is 8613.28152192582, the davies_bouldin_score is 0.9437162429301915
For n_clusters=95, the silhouette score is 0.30493210227403095, the calinski-harabasz index is 8604.88583716186, the davies_bouldin_score is 0.9403872080271239
For n_clusters=96, the silhouette score is 0.3053557960465952, the calinski-harabasz index is 8583.762854082865, the davies_bouldin_score is 0.9353409397141057
For n_clusters=97, the silhouette score is 0.30347424192876077, the calinski-harabasz index is 8561.508477623016, the davies_bouldin_score is 0.9419582753928889
For n_clusters=98, the silhouette score is 0.3039106537587347, the calinski-harabasz index is 8540.206292203016, the davies_bouldin_score is 0.9412979418800717
For n_clusters=99, the silhouette score is 0.3044085926598583, the calinski-harabasz index is 8518.916196502123, the davies_bouldin_score is 0.9437966819898324
The number of clusters with the highest silhouette score is 8
The highest silhouette score is 0.7288773873733558
The number of clusters with the highest calinski-harabasz index is 13
The highest calinski-harabasz index is 10169.876340556297
The number of clusters with the lowest davies_bouldin_score is 8
The lowest davies_bouldin_score is 0.437337108761757
No description has been provided for this image

For n_clusters=8, the silhouette score is 0.7288773873733558, the calinski-harabasz index is 8813.65586784023, the davies_bouldin_score is 0.437337108761757

For n_clusters=13, the silhouette score is 0.4388637678718568, the calinski-harabasz index is 10169.876340556297, the davies_bouldin_score is 0.6518556137493834

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Cluster visualization and evaluation

Best silhoette & Davies Bouldin Index
In [ ]:
n  = 8
ag = AgglomerativeClustering(n_clusters=n, linkage="ward").fit(X_pca_cleaned)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(range(0, n), colors)}
In [ ]:
unique_labels, labels = np.unique(ag.labels_, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, ag.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, ag.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, ag.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Agglomerative with Ward Linkage", n, silhouette_avg, ch_index, db_index]

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Agglomerative_ward_cluster_labels_'+str(n)] = ag.labels_
X_pca_df.head()


plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Agglomerative_ward_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_ward_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=labels, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=8, the silhouette score is 0.7288773873733558, the calinski-harabasz index is 8813.65586784023, the davies_bouldin_score is 0.437337108761757
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in ag.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Agglomerative_ward clustering for clusters " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Agglomerative_ward_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Best Calinski Harbasz
In [ ]:
n  = 13
ag = AgglomerativeClustering(n_clusters=n, linkage="ward").fit(X_pca_cleaned)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(range(0, n), colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Agglomerative_ward_cluster_labels_'+str(n)] = ag.labels_
X_pca_df.head()

unique_labels, labels = np.unique(ag.labels_, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, ag.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, ag.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, ag.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Agglomerative with Ward Linkage", n, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Agglomerative_ward_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_ward_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=labels, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=13, the silhouette score is 0.4388637678718568, the calinski-harabasz index is 10169.876340556297, the davies_bouldin_score is 0.6518556137493834
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in ag.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')

plt.axis('off')
plt.title("Facebook Combined Graph with Agglomerative_ward clustering for clusters " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Agglomerative_ward_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Best silhouette/Davies Bouldin with Outliers
In [ ]:
n  = 8
ag = AgglomerativeClustering(n_clusters=n, linkage="ward").fit(X_pca)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(range(0, n), colors)}

X_pca_df = pd.DataFrame(X_pca, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Agglomerative_ward_cluster_labels_'+str(n)] = ag.labels_
X_pca_df.head()

unique_labels, labels = np.unique(ag.labels_, return_counts=True)
num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca, ag.labels_)
ch_index = calinski_harabasz_score(X_pca, ag.labels_)
db_index = davies_bouldin_score(X_pca, ag.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Agglomerative with Ward Linkage with Outliers included", num_clusters, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Agglomerative_ward_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_ward_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=labels, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=8, the silhouette score is 0.7087329411719172, the calinski-harabasz index is 7540.989843345875, the davies_bouldin_score is 0.5450281149677968
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, node_size=10, node_color = [color_map[label] for label in ag.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Agglomerative_ward clustering for clusters " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Agglomerative_ward_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Here, outliers are shown with black dots, but they were included in the clustering. See that silhouette score is lesser than when outliers were removed.

Agglomerative with Complete Linkage

Hyper parameter tuning

In [ ]:
max_silhouette = 0
num_with_max_silhouette = 0
max_calinski = 0
num_with_max_calinski = 0
min_davies = 10000
num_with_min_davies = 0
savg = []
chi = []
dbi = []
range_n_clusters = range(2,100)
for n in range_n_clusters:
  ag = AgglomerativeClustering(n_clusters=n, linkage="complete").fit(X_pca_cleaned)
  silhouette_avg = silhouette_score(X_pca_cleaned, ag.labels_)
  ch_index = calinski_harabasz_score(X_pca_cleaned, ag.labels_)
  db_index = davies_bouldin_score(X_pca_cleaned, ag.labels_)
  print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(n, silhouette_avg, ch_index, db_index))
  savg.append(silhouette_avg * 10000)
  chi.append(ch_index * 20)
  dbi.append(db_index * 10000)
  if silhouette_avg > max_silhouette:
    max_silhouette = silhouette_avg
    num_with_max_silhouette = n
  if ch_index > max_calinski:
    max_calinski = ch_index
    num_with_max_calinski = n
  if db_index < min_davies:
    min_davies = db_index
    num_with_min_davies = n

print("The number of clusters with the highest silhouette score is {0}".format(num_with_max_silhouette))
print("The highest silhouette score is {0}".format(max_silhouette))
print("The number of clusters with the highest calinski-harabasz index is {0}".format(num_with_max_calinski))
print("The highest calinski-harabasz index is {0}".format(max_calinski))
print("The number of clusters with the lowest davies_bouldin_score is {0}".format(num_with_min_davies))
print("The lowest davies_bouldin_score is {0}".format(min_davies))

#plt.plot(range_n_clusters, ssd, '*-' ,color = 'b', label = 'Inertia')
plt.plot(range_n_clusters, savg, '*-',color = 'r', label = 'Silhouette')
plt.plot(range_n_clusters, chi, '*-',color = 'g', label = 'Calinski-Harabasz')
plt.plot(range_n_clusters, dbi, '*-',color = 'y', label = 'Davies-Bouldin')
plt.vlines(x = num_with_max_silhouette, ymin = 0, ymax = 30000, color = 'r', linestyles = 'dashed')
plt.vlines(x = num_with_max_calinski, ymin = 0, ymax = 30000, color = 'g', linestyles = 'dashed')
plt.vlines(x = num_with_min_davies, ymin = 0, ymax = 30000, color = 'y', linestyles = 'dashed')
plt.xlabel('Number of clusters')
plt.legend()
plt.show()
For n_clusters=2, the silhouette score is 0.47087524181501966, the calinski-harabasz index is 899.7594379355452, the davies_bouldin_score is 0.9575591023607197
For n_clusters=3, the silhouette score is 0.6222711850686796, the calinski-harabasz index is 4147.09361561533, the davies_bouldin_score is 0.695692467101661
For n_clusters=4, the silhouette score is 0.6068431783875183, the calinski-harabasz index is 3068.300110398633, the davies_bouldin_score is 0.6512298752062364
For n_clusters=5, the silhouette score is 0.6221620019497839, the calinski-harabasz index is 3706.3801513949725, the davies_bouldin_score is 0.5436591806480734
For n_clusters=6, the silhouette score is 0.6174628257658786, the calinski-harabasz index is 3277.8247056183855, the davies_bouldin_score is 0.5990376009130243
For n_clusters=7, the silhouette score is 0.7192875379454214, the calinski-harabasz index is 8916.068462470872, the davies_bouldin_score is 0.5348818182266986
For n_clusters=8, the silhouette score is 0.7288773873733558, the calinski-harabasz index is 8813.655867840229, the davies_bouldin_score is 0.437337108761757
For n_clusters=9, the silhouette score is 0.657489312817217, the calinski-harabasz index is 8543.581214011589, the davies_bouldin_score is 0.5608190878851967
For n_clusters=10, the silhouette score is 0.6588687375488667, the calinski-harabasz index is 7764.579032842574, the davies_bouldin_score is 0.5139377642491134
For n_clusters=11, the silhouette score is 0.4339350586610739, the calinski-harabasz index is 8737.71770076221, the davies_bouldin_score is 0.6764813720618501
For n_clusters=12, the silhouette score is 0.4422823897025335, the calinski-harabasz index is 8941.901223300625, the davies_bouldin_score is 0.565495698539667
For n_clusters=13, the silhouette score is 0.3973400061985853, the calinski-harabasz index is 8648.592368113214, the davies_bouldin_score is 0.6252748623175883
For n_clusters=14, the silhouette score is 0.37433873734512535, the calinski-harabasz index is 8233.55679926267, the davies_bouldin_score is 0.6573791004000638
For n_clusters=15, the silhouette score is 0.3390467767793258, the calinski-harabasz index is 7778.141336849598, the davies_bouldin_score is 0.734397272642339
For n_clusters=16, the silhouette score is 0.28899954715807746, the calinski-harabasz index is 7646.617857036194, the davies_bouldin_score is 0.7462270309038265
For n_clusters=17, the silhouette score is 0.2948059363849714, the calinski-harabasz index is 7736.6420391559, the davies_bouldin_score is 0.7756052292966583
For n_clusters=18, the silhouette score is 0.2910227072719943, the calinski-harabasz index is 7602.69350887275, the davies_bouldin_score is 0.7831678304675319
For n_clusters=19, the silhouette score is 0.2905573970850958, the calinski-harabasz index is 7392.111386988407, the davies_bouldin_score is 0.7923491879821822
For n_clusters=20, the silhouette score is 0.28795931453362544, the calinski-harabasz index is 7756.009554246959, the davies_bouldin_score is 0.8438254797606696
For n_clusters=21, the silhouette score is 0.31432298535539643, the calinski-harabasz index is 8352.420002204333, the davies_bouldin_score is 0.8416765763129698
For n_clusters=22, the silhouette score is 0.3118009714269203, the calinski-harabasz index is 8564.804106210813, the davies_bouldin_score is 0.8324471315870333
For n_clusters=23, the silhouette score is 0.2966099331403067, the calinski-harabasz index is 8643.38117624768, the davies_bouldin_score is 0.854632719746464
For n_clusters=24, the silhouette score is 0.2929253191933392, the calinski-harabasz index is 8383.445175543195, the davies_bouldin_score is 0.8474139064430254
For n_clusters=25, the silhouette score is 0.2890140124547211, the calinski-harabasz index is 8188.820027257753, the davies_bouldin_score is 0.8489702820311067
For n_clusters=26, the silhouette score is 0.3019994280043644, the calinski-harabasz index is 8594.173036257722, the davies_bouldin_score is 0.8284891989545434
For n_clusters=27, the silhouette score is 0.2957797260750595, the calinski-harabasz index is 8346.513672881323, the davies_bouldin_score is 0.8475053559224032
For n_clusters=28, the silhouette score is 0.2898993595161309, the calinski-harabasz index is 8256.3712857785, the davies_bouldin_score is 0.8627807172448511
For n_clusters=29, the silhouette score is 0.28910854120631396, the calinski-harabasz index is 8003.768851535271, the davies_bouldin_score is 0.8513019603305383
For n_clusters=30, the silhouette score is 0.2979771305109955, the calinski-harabasz index is 8247.489478617541, the davies_bouldin_score is 0.8449046317517698
For n_clusters=31, the silhouette score is 0.2936444956158755, the calinski-harabasz index is 8364.538882784687, the davies_bouldin_score is 0.861875056032147
For n_clusters=32, the silhouette score is 0.29316342033653137, the calinski-harabasz index is 8387.460000206464, the davies_bouldin_score is 0.8970554005785788
For n_clusters=33, the silhouette score is 0.2948605380061624, the calinski-harabasz index is 8576.757605031884, the davies_bouldin_score is 0.9080538388791733
For n_clusters=34, the silhouette score is 0.2940112262802697, the calinski-harabasz index is 8512.5726185078, the davies_bouldin_score is 0.8959042886188319
For n_clusters=35, the silhouette score is 0.293031473461448, the calinski-harabasz index is 8445.14819701025, the davies_bouldin_score is 0.885544728862375
For n_clusters=36, the silhouette score is 0.2894335142833458, the calinski-harabasz index is 8252.196313809542, the davies_bouldin_score is 0.8837215234274435
For n_clusters=37, the silhouette score is 0.2878003610860932, the calinski-harabasz index is 8075.457225552291, the davies_bouldin_score is 0.8824660572751539
For n_clusters=38, the silhouette score is 0.29197111137647574, the calinski-harabasz index is 8030.856583847928, the davies_bouldin_score is 0.8738994421171896
For n_clusters=39, the silhouette score is 0.2930089466738824, the calinski-harabasz index is 7887.614712566018, the davies_bouldin_score is 0.8621774890283456
For n_clusters=40, the silhouette score is 0.29166357079099015, the calinski-harabasz index is 7747.652627875705, the davies_bouldin_score is 0.8612593218658706
For n_clusters=41, the silhouette score is 0.2889801683916561, the calinski-harabasz index is 7698.710094814158, the davies_bouldin_score is 0.8560448611819125
For n_clusters=42, the silhouette score is 0.2877929091211681, the calinski-harabasz index is 7528.883682594745, the davies_bouldin_score is 0.8419879930907597
For n_clusters=43, the silhouette score is 0.2847588276426376, the calinski-harabasz index is 7507.921020720948, the davies_bouldin_score is 0.8483224078506574
For n_clusters=44, the silhouette score is 0.2866659122739209, the calinski-harabasz index is 7408.061191883153, the davies_bouldin_score is 0.8401652659505513
For n_clusters=45, the silhouette score is 0.28575893329664426, the calinski-harabasz index is 7410.056093242228, the davies_bouldin_score is 0.8452285359327828
For n_clusters=46, the silhouette score is 0.27993616791499737, the calinski-harabasz index is 7373.4962359694355, the davies_bouldin_score is 0.8599373683602444
For n_clusters=47, the silhouette score is 0.28043958834992905, the calinski-harabasz index is 7433.606580837635, the davies_bouldin_score is 0.8555778831164605
For n_clusters=48, the silhouette score is 0.287347060432909, the calinski-harabasz index is 7523.077107439086, the davies_bouldin_score is 0.8495796824030425
For n_clusters=49, the silhouette score is 0.28531858940894134, the calinski-harabasz index is 7547.2097202045725, the davies_bouldin_score is 0.8952146723426709
For n_clusters=50, the silhouette score is 0.28350592892680504, the calinski-harabasz index is 7593.737395119201, the davies_bouldin_score is 0.8944374178839923
For n_clusters=51, the silhouette score is 0.28661437980057114, the calinski-harabasz index is 7660.260119876459, the davies_bouldin_score is 0.8962861239841746
For n_clusters=52, the silhouette score is 0.2833176248485473, the calinski-harabasz index is 7565.443737783641, the davies_bouldin_score is 0.8974504152076871
For n_clusters=53, the silhouette score is 0.2894900977121833, the calinski-harabasz index is 7696.765241786242, the davies_bouldin_score is 0.89126567723114
For n_clusters=54, the silhouette score is 0.2884172224503088, the calinski-harabasz index is 7615.063881234292, the davies_bouldin_score is 0.8971638570198046
For n_clusters=55, the silhouette score is 0.28390446256738505, the calinski-harabasz index is 7531.332062902051, the davies_bouldin_score is 0.8973781525238921
For n_clusters=56, the silhouette score is 0.2842747933186507, the calinski-harabasz index is 7439.026662721249, the davies_bouldin_score is 0.897075961699052
For n_clusters=57, the silhouette score is 0.28366866924638684, the calinski-harabasz index is 7315.211858980271, the davies_bouldin_score is 0.8896108380318929
For n_clusters=58, the silhouette score is 0.283258379647335, the calinski-harabasz index is 7248.250964204848, the davies_bouldin_score is 0.8881446392146716
For n_clusters=59, the silhouette score is 0.28301480719601235, the calinski-harabasz index is 7153.662467899309, the davies_bouldin_score is 0.8871480114066219
For n_clusters=60, the silhouette score is 0.2812099151175488, the calinski-harabasz index is 7076.193572887326, the davies_bouldin_score is 0.9050586312235146
For n_clusters=61, the silhouette score is 0.2822709331222093, the calinski-harabasz index is 7100.557492411166, the davies_bouldin_score is 0.9108137967849611
For n_clusters=62, the silhouette score is 0.26847057529136276, the calinski-harabasz index is 7051.198621239059, the davies_bouldin_score is 0.9273063554743675
For n_clusters=63, the silhouette score is 0.26879032431626715, the calinski-harabasz index is 7039.302669974925, the davies_bouldin_score is 0.9292621987753058
For n_clusters=64, the silhouette score is 0.2685050780628089, the calinski-harabasz index is 6936.174280765957, the davies_bouldin_score is 0.9190994254232341
For n_clusters=65, the silhouette score is 0.26857786634106295, the calinski-harabasz index is 6840.952766344666, the davies_bouldin_score is 0.9083373849083253
For n_clusters=66, the silhouette score is 0.2761810102260764, the calinski-harabasz index is 7021.073641291358, the davies_bouldin_score is 0.888096283344286
For n_clusters=67, the silhouette score is 0.27895500037087784, the calinski-harabasz index is 7146.482962946992, the davies_bouldin_score is 0.885611081809964
For n_clusters=68, the silhouette score is 0.27808499215791416, the calinski-harabasz index is 7065.000847875777, the davies_bouldin_score is 0.8868876782539752
For n_clusters=69, the silhouette score is 0.28358204483711386, the calinski-harabasz index is 7233.792841016366, the davies_bouldin_score is 0.8944686705380569
For n_clusters=70, the silhouette score is 0.2823537640109104, the calinski-harabasz index is 7175.520068107286, the davies_bouldin_score is 0.8938310270372297
For n_clusters=71, the silhouette score is 0.2813735603145624, the calinski-harabasz index is 7164.2840979050425, the davies_bouldin_score is 0.8901571760341997
For n_clusters=72, the silhouette score is 0.2791205679960076, the calinski-harabasz index is 7098.086778004001, the davies_bouldin_score is 0.8912005599521537
For n_clusters=73, the silhouette score is 0.2792526998614851, the calinski-harabasz index is 7023.09114233367, the davies_bouldin_score is 0.8888686418207078
For n_clusters=74, the silhouette score is 0.2778536058141158, the calinski-harabasz index is 6985.507188138937, the davies_bouldin_score is 0.883322807264043
For n_clusters=75, the silhouette score is 0.282225631782031, the calinski-harabasz index is 7146.386250357495, the davies_bouldin_score is 0.8961937334478921
For n_clusters=76, the silhouette score is 0.2795514194673613, the calinski-harabasz index is 7094.350652937074, the davies_bouldin_score is 0.8998161855182962
For n_clusters=77, the silhouette score is 0.27946526154805884, the calinski-harabasz index is 7057.878527986616, the davies_bouldin_score is 0.9063748770678027
For n_clusters=78, the silhouette score is 0.28053174473912657, the calinski-harabasz index is 7013.89412641385, the davies_bouldin_score is 0.9269937627265957
For n_clusters=79, the silhouette score is 0.28520163281179006, the calinski-harabasz index is 7099.778632918196, the davies_bouldin_score is 0.9148577131118962
For n_clusters=80, the silhouette score is 0.2920615247316602, the calinski-harabasz index is 7251.648943405324, the davies_bouldin_score is 0.913898977688104
For n_clusters=81, the silhouette score is 0.2912925088292474, the calinski-harabasz index is 7215.821997666973, the davies_bouldin_score is 0.9165906207650124
For n_clusters=82, the silhouette score is 0.29250475451282615, the calinski-harabasz index is 7297.270254737974, the davies_bouldin_score is 0.9277153570840363
For n_clusters=83, the silhouette score is 0.290620764198988, the calinski-harabasz index is 7262.919827759431, the davies_bouldin_score is 0.9391764788856612
For n_clusters=84, the silhouette score is 0.29119459443512674, the calinski-harabasz index is 7217.3774457242525, the davies_bouldin_score is 0.9390661263764011
For n_clusters=85, the silhouette score is 0.28980335355190656, the calinski-harabasz index is 7209.966552417343, the davies_bouldin_score is 0.9577796861922536
For n_clusters=86, the silhouette score is 0.2907840723647712, the calinski-harabasz index is 7264.693024571686, the davies_bouldin_score is 0.9510722166191516
For n_clusters=87, the silhouette score is 0.2894089414922257, the calinski-harabasz index is 7188.653950648767, the davies_bouldin_score is 0.9469869826236835
For n_clusters=88, the silhouette score is 0.28451889215073134, the calinski-harabasz index is 7313.13951025804, the davies_bouldin_score is 0.9448249938918248
For n_clusters=89, the silhouette score is 0.2846880963679302, the calinski-harabasz index is 7264.292025370222, the davies_bouldin_score is 0.943538165805215
For n_clusters=90, the silhouette score is 0.2823408031933463, the calinski-harabasz index is 7215.85261102112, the davies_bouldin_score is 0.9553263037136736
For n_clusters=91, the silhouette score is 0.28287125672888425, the calinski-harabasz index is 7163.2656723413165, the davies_bouldin_score is 0.9485998737605571
For n_clusters=92, the silhouette score is 0.2830883780061352, the calinski-harabasz index is 7106.91321487515, the davies_bouldin_score is 0.9426115926415934
For n_clusters=93, the silhouette score is 0.2829783080261075, the calinski-harabasz index is 7109.0776331332045, the davies_bouldin_score is 0.9450308986579765
For n_clusters=94, the silhouette score is 0.28297850388318907, the calinski-harabasz index is 7063.710948937701, the davies_bouldin_score is 0.9420641397125109
For n_clusters=95, the silhouette score is 0.2832269633598201, the calinski-harabasz index is 7050.5871107559615, the davies_bouldin_score is 0.9459597433693803
For n_clusters=96, the silhouette score is 0.28294256275218244, the calinski-harabasz index is 6990.007595267908, the davies_bouldin_score is 0.9437028848958023
For n_clusters=97, the silhouette score is 0.28296300775107525, the calinski-harabasz index is 6930.752385860055, the davies_bouldin_score is 0.9330732239002538
For n_clusters=98, the silhouette score is 0.2828158222914746, the calinski-harabasz index is 6888.940814826314, the davies_bouldin_score is 0.9231217946312209
For n_clusters=99, the silhouette score is 0.28264631305289506, the calinski-harabasz index is 6858.953722683782, the davies_bouldin_score is 0.9199014356988962
The number of clusters with the highest silhouette score is 8
The highest silhouette score is 0.7288773873733558
The number of clusters with the highest calinski-harabasz index is 12
The highest calinski-harabasz index is 8941.901223300625
The number of clusters with the lowest davies_bouldin_score is 8
The lowest davies_bouldin_score is 0.437337108761757
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Notable points 🇰

For n_clusters=8, the silhouette score is 0.7288773873733558, the calinski-harabasz index is 8813.655867840229, the davies_bouldin_score is 0.437337108761757

For n_clusters=12, the silhouette score is 0.4422823897025335, the calinski-harabasz index is 8941.901223300625, the davies_bouldin_score is 0.565495698539667

Cluster visualization and evaluation

Best silhoette / Davies Bouldin Index
In [ ]:
n = 8
In [ ]:
ag_c = AgglomerativeClustering(n_clusters=n, linkage="complete").fit(X_pca_cleaned)
In [ ]:
colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(range(0, n), colors)}

unique_labels, counts = np.unique(ag_c.labels_, return_counts=True)

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Agglomerative_complete_cluster_labels_'+str(n)] = ag_c.labels_
X_pca_df.head()

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, ag_c.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, ag_c.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, ag_c.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Agglomerative with Complete Linkage", num_clusters, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Agglomerative_complete_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_complete_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=8, the silhouette score is 0.7288773873733558, the calinski-harabasz index is 8813.655867840229, the davies_bouldin_score is 0.437337108761757
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in ag_c.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Agglomerative_complete clustering" + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Agglomerative_complete_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Best Calinski Harbasz
In [ ]:
n=12
ag_c = AgglomerativeClustering(n_clusters=n, linkage="complete").fit(X_pca_cleaned)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(range(0, n), colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Agglomerative_complete_cluster_labels_'+str(n)] = ag_c.labels_
X_pca_df.head()

unique_labels, counts = np.unique(ag_c.labels_, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, ag_c.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, ag_c.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, ag_c.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Agglomerative with Complete Linkage", num_clusters, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Agglomerative_complete_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_complete_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=12, the silhouette score is 0.4422823897025335, the calinski-harabasz index is 8941.901223300625, the davies_bouldin_score is 0.565495698539667
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in ag_c.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Agglomerative_complete clustering" + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Agglomerative_complete_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Best Sillhouette/Davies Bouldin with outliers
In [ ]:
n=8
ag_c = AgglomerativeClustering(n_clusters=n, linkage="complete").fit(X_pca)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(range(0, n), colors)}

X_pca_df = pd.DataFrame(X_pca, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Agglomerative_complete_cluster_labels_'+str(n)] = ag_c.labels_
X_pca_df.head()

unique_labels, counts = np.unique(ag_c.labels_, return_counts=True)
num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca, ag_c.labels_)
ch_index = calinski_harabasz_score(X_pca, ag_c.labels_)
db_index = davies_bouldin_score(X_pca, ag_c.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Agglomerative with Complete Linkage with outliers included", num_clusters, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Agglomerative_complete_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_complete_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
For n_clusters=8, the silhouette score is 0.5892754107808525, the calinski-harabasz index is 2651.2416006292524, the davies_bouldin_score is 0.5941308843824691
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, node_size=10, node_color = [color_map[label] for label in ag_c.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Agglomerative_complete clustering" + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Agglomerative_complete_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Note, ghere the outliers are shown as black dots but were included in the clustering.

DBScan

Hyper parameter tuning

In [ ]:
from sklearn.cluster import DBSCAN
from sklearn.model_selection import GridSearchCV
from sklearn.metrics import silhouette_score, davies_bouldin_score, calinski_harabasz_score
import numpy as np
# Assuming your data is stored in a variable called 'X'
# X is a 2D array with shape (4039, 5)

# Define the parameter grid
param_grid = {
    'eps': [0.2, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 4.0, 4.9, 5.0, 7.5, 10],
    'min_samples': [5, 10, 20, 25, 30, 40, 50, 60, 70, 80, 100]
    #'scoring': ['silhouette', 'calinski_harabasz', 'davies_bouldin']
}

# Create a DBSCAN object
dbscan = DBSCAN()

# Define a custom scoring function using silhouette score
def silhouette_scorer(estimator, X):
    labels = estimator.fit_predict(X)
    return silhouette_score(X, labels)

def calinski_harabasz_scorer(estimator, X):
    labels = estimator.fit_predict(X)
    return calinski_harabasz_score(X, labels)

def davies_bouldin_scorer(estimator, X):
    labels = estimator.fit_predict(X)
    return -davies_bouldin_score(X, labels)
In [ ]:
# Perform grid search
grid_search = GridSearchCV(estimator=dbscan, param_grid=param_grid, scoring=silhouette_scorer, cv=5)
grid_search.fit(X_pca)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_estimator = grid_search.best_estimator_
best_score = grid_search.best_score_
#error_score = grid_search.score(X_pca)

print("Best Parameters:", best_params)
print("Best CV Silhoutte Score:", best_score)
#print("Best CV Error Score:", error_score)
print("Best Estimator:", best_estimator)
Best Parameters: {'eps': 3.0, 'min_samples': 5}
Best CV Silhoutte Score: 0.7703487811934394
Best Estimator: DBSCAN(eps=3.0)
In [ ]:
# Perform grid search
grid_search = GridSearchCV(estimator=dbscan, param_grid=param_grid, scoring=silhouette_scorer, cv=5)
grid_search.fit(X_pca_cleaned)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_estimator = grid_search.best_estimator_
best_score = grid_search.best_score_
#error_score = grid_search.score(X_pca)

print("Best Parameters:", best_params)
print("Best CV Silhoutte Score:", best_score)
#print("Best CV Error Score:", error_score)
print("Best Estimator:", best_estimator)
Best Parameters: {'eps': 2.0, 'min_samples': 25}
Best CV Silhoutte Score: 0.7712246586354647
Best Estimator: DBSCAN(eps=2.0, min_samples=25)
In [ ]:
e = 3.0
m = 5
In [ ]:
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(X_pca)
n = dbscan.labels_.max() + 1
silhouette_avg = silhouette_score(X_pca, dbscan.labels_)
ch_index = calinski_harabasz_score(X_pca, dbscan.labels_)
db_index = davies_bouldin_score(X_pca, dbscan.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(n, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["DBScan with outlier", n, silhouette_avg, ch_index, db_index]
For n_clusters=13, the silhouette score is 0.735922141627264, the calinski-harabasz index is 6290.139478521556, the davies_bouldin_score is 1.2079105177772622
In [ ]:
e = 2.0
m = 25
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(X_pca_cleaned)
n = dbscan.labels_.max() + 1
silhouette_avg = silhouette_score(X_pca_cleaned, dbscan.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, dbscan.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, dbscan.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(n, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["DBScan", n, silhouette_avg, ch_index, db_index]
For n_clusters=8, the silhouette score is 0.7369875828929374, the calinski-harabasz index is 8396.052815261406, the davies_bouldin_score is 0.3279603195855451
In [ ]:
grid_search = GridSearchCV(estimator=dbscan, param_grid=param_grid, scoring=calinski_harabasz_scorer, cv=5)
grid_search.fit(X_pca)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_estimator = grid_search.best_estimator_
best_score = grid_search.best_score_
#error_score = grid_search.score(X_pca)

print("Best Parameters:", best_params)
print("Best CV Calinski-Harabasz Score:", best_score)
#print("Best CV Error Score:", error_score)
print("Best Estimator:", best_estimator)
Best Parameters: {'eps': 3.0, 'min_samples': 5}
Best CV Calinski-Harabasz Score: 2734.813219870754
Best Estimator: DBSCAN(eps=3.0)
In [ ]:
grid_search = GridSearchCV(estimator=dbscan, param_grid=param_grid, scoring=davies_bouldin_scorer, cv=5)
grid_search.fit(X_pca)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_estimator = grid_search.best_estimator_
best_score = grid_search.best_score_
#error_score = grid_search.score(X_pca)

print("Best Parameters:", best_params)
print("Best CV Davies-Bouldin Score:", best_score)
#print("Best CV Error Score:", error_score)
print("Best Estimator:", best_estimator)
Best Parameters: {'eps': 3.0, 'min_samples': 5}
Best CV Davies-Bouldin Score: -0.40952721388770125
Best Estimator: DBSCAN(eps=3.0)
In [ ]:
import sys
# Solution

# Define the start, stop, and step values for the range
start = 0.1  # Start value (inclusive)
stop = 25.0  # Stop value (exclusive)
step = 0.05   # Step size

max_silhouette = sys.float_info.min
num_with_max_silhouette = 0
eps_with_max_silhouette = 0
max_calinski = sys.float_info.min
min_davies = sys.float_info.max
num_with_max_calinski = 0
eps_with_max_calinski = 0
num_with_min_davies = 0
eps_with_min_davies = 0

max_eps = 0

# Generate the range of floats
float_range = np.arange(start, stop, step)

savg = []
ch = []
db = []
ep = []
nlabels = []
for e in float_range:
  dbscan = DBSCAN(eps=e)
  dbscan.fit(X_pca_cleaned)
  num_labels = len(set(dbscan.labels_))

  if(num_labels > 1):
    silhouette_avg = silhouette_score(X_pca_cleaned, dbscan.labels_)
    ch_index = calinski_harabasz_score(X_pca_cleaned, dbscan.labels_)
    db_index = davies_bouldin_score(X_pca_cleaned, dbscan.labels_)
    eps = e
    if(silhouette_avg > max_silhouette):
      max_silhouette = silhouette_avg
      num_with_max_silhouette = num_labels
      eps_with_max_silhouette = eps
    if(ch_index > max_calinski):
      max_calinski = ch_index
      num_with_max_calinski = num_labels
      eps_with_max_calinski = eps
    if(db_index < min_davies):
      min_davies = db_index
      num_with_min_davies = num_labels
      eps_with_min_davies = eps
    savg.append(silhouette_avg)
    ch.append(ch_index/10)
    db.append(db_index)
    ep.append(eps)
    nlabels.append(num_labels)
    print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the epsilon is {4}".format(num_labels, silhouette_avg, ch_index, db_index, eps))
    if num_labels == 2:
      break;

print("The number of clusters with the highest silhouette score is {0}".format(num_with_max_silhouette))
print("The eps value at higest silhoutte score is {0}".format(eps_with_max_silhouette))
print("The highest silhouette score is {0}".format(max_silhouette))
print("The number of clusters with the highest calinski-harabasz index is {0}".format(num_with_max_calinski))
print("The eps value at higest calinski-harabasz index is {0}".format(eps_with_max_calinski))
print("The highest calinski-harabasz index is {0}".format(max_calinski))
print("The number of clusters with the lowest davies_bouldin_score is {0}".format(num_with_min_davies))
print("The lowest davies_bouldin_score is {0}".format(min_davies))
print("The eps value at lowest davies_bouldin_score is {0}".format(eps_with_min_davies))


plt.plot(float_range, savg,color = 'r', label = 'Silhouette')
plt.plot(float_range, ch, color = 'g', label = 'Calinski-Harabasz')
plt.plot(float_range, db, color = 'y', label = 'Davies-Bouldin')
plt.plot(float_range, nlabels, color = 'b', label = 'Number of clusters')
#plt.vlines(x = num_with_max_silhouette, ymin = 0, ymax = 30000, color = 'r', linestyles = 'dashed')
#plt.vlines(x = num_with_max_calinski, ymin = 0, ymax = 30000, color = 'g', linestyles = 'dashed')
#plt.vlines(x = num_with_min_davies, ymin = 0, ymax = 30000, color = 'y', linestyles = 'dashed')
plt.xlabel('Epsilon values')
plt.ylabel('Score')
plt.legend()
plt.show()
For n_clusters=98, the silhouette score is -0.5129431564780237, the calinski-harabasz index is 14.682663015221438, the davies_bouldin_score is 1.3630468620863128, the epsilon is 0.1
For n_clusters=93, the silhouette score is -0.353427489003595, the calinski-harabasz index is 41.30337887914607, the davies_bouldin_score is 1.1503779120139201, the epsilon is 0.15000000000000002
For n_clusters=67, the silhouette score is -0.22054595566099747, the calinski-harabasz index is 126.56737064629404, the davies_bouldin_score is 1.0945724610626921, the epsilon is 0.20000000000000004
For n_clusters=41, the silhouette score is -0.09300131442548373, the calinski-harabasz index is 367.276677481872, the davies_bouldin_score is 1.0647615684264515, the epsilon is 0.25000000000000006
For n_clusters=28, the silhouette score is 0.05534741877142657, the calinski-harabasz index is 832.059034484005, the davies_bouldin_score is 1.2617505595990548, the epsilon is 0.30000000000000004
For n_clusters=22, the silhouette score is 0.13522816010593997, the calinski-harabasz index is 1455.3174747981905, the davies_bouldin_score is 1.0415749259591391, the epsilon is 0.3500000000000001
For n_clusters=21, the silhouette score is 0.2827261932707789, the calinski-harabasz index is 1833.9233181098948, the davies_bouldin_score is 1.1173647543226408, the epsilon is 0.40000000000000013
For n_clusters=18, the silhouette score is 0.34850562524720136, the calinski-harabasz index is 2628.698989134275, the davies_bouldin_score is 1.1821331477820605, the epsilon is 0.45000000000000007
For n_clusters=16, the silhouette score is 0.35885158364191766, the calinski-harabasz index is 3193.8932547593486, the davies_bouldin_score is 1.1615813663573031, the epsilon is 0.5000000000000001
For n_clusters=14, the silhouette score is 0.6925520857425741, the calinski-harabasz index is 4012.358790811303, the davies_bouldin_score is 1.1355385649321568, the epsilon is 0.5500000000000002
For n_clusters=14, the silhouette score is 0.6971508050061153, the calinski-harabasz index is 4176.824304623725, the davies_bouldin_score is 1.1567206724242636, the epsilon is 0.6000000000000002
For n_clusters=13, the silhouette score is 0.7215328192512848, the calinski-harabasz index is 4752.499842381492, the davies_bouldin_score is 1.1427791242090382, the epsilon is 0.6500000000000001
For n_clusters=13, the silhouette score is 0.7219167855296527, the calinski-harabasz index is 5202.821507356316, the davies_bouldin_score is 1.007476736989811, the epsilon is 0.7000000000000002
For n_clusters=12, the silhouette score is 0.7268687805888813, the calinski-harabasz index is 5877.417442059203, the davies_bouldin_score is 1.0038224090877004, the epsilon is 0.7500000000000002
For n_clusters=12, the silhouette score is 0.7292941527973937, the calinski-harabasz index is 5897.218658310487, the davies_bouldin_score is 1.0164752383612907, the epsilon is 0.8000000000000002
For n_clusters=11, the silhouette score is 0.7306270186643744, the calinski-harabasz index is 6578.454299518512, the davies_bouldin_score is 1.1286137532591456, the epsilon is 0.8500000000000002
For n_clusters=11, the silhouette score is 0.7328106583815939, the calinski-harabasz index is 6604.977241964467, the davies_bouldin_score is 1.1371886656181731, the epsilon is 0.9000000000000002
For n_clusters=11, the silhouette score is 0.7331513435117426, the calinski-harabasz index is 6718.418646209387, the davies_bouldin_score is 1.0954475723815298, the epsilon is 0.9500000000000003
For n_clusters=11, the silhouette score is 0.7331513435117426, the calinski-harabasz index is 6718.418646209387, the davies_bouldin_score is 1.0954475723815298, the epsilon is 1.0000000000000004
For n_clusters=11, the silhouette score is 0.7339543279481294, the calinski-harabasz index is 6760.684565593382, the davies_bouldin_score is 1.1178013130553048, the epsilon is 1.0500000000000003
For n_clusters=11, the silhouette score is 0.7339543279481294, the calinski-harabasz index is 6760.684565593382, the davies_bouldin_score is 1.1178013130553048, the epsilon is 1.1000000000000005
For n_clusters=11, the silhouette score is 0.7339543279481294, the calinski-harabasz index is 6760.684565593382, the davies_bouldin_score is 1.1178013130553048, the epsilon is 1.1500000000000004
For n_clusters=11, the silhouette score is 0.7339543279481294, the calinski-harabasz index is 6760.684565593382, the davies_bouldin_score is 1.1178013130553048, the epsilon is 1.2000000000000004
For n_clusters=11, the silhouette score is 0.7246905946569839, the calinski-harabasz index is 6867.616307417147, the davies_bouldin_score is 0.2780754932746002, the epsilon is 1.2500000000000004
For n_clusters=11, the silhouette score is 0.7246905946569839, the calinski-harabasz index is 6867.616307417147, the davies_bouldin_score is 0.2780754932746002, the epsilon is 1.3000000000000005
For n_clusters=11, the silhouette score is 0.7246905946569839, the calinski-harabasz index is 6867.616307417147, the davies_bouldin_score is 0.2780754932746002, the epsilon is 1.3500000000000005
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.4000000000000006
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.4500000000000006
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.5000000000000004
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.5500000000000005
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.6000000000000005
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.6500000000000006
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.7000000000000006
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.7500000000000007
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.8000000000000007
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.8500000000000008
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.9000000000000008
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 1.9500000000000006
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.0000000000000004
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.0500000000000007
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.100000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.150000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.2000000000000006
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.250000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.3000000000000007
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.350000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.400000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.450000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.500000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.5500000000000007
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.600000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.650000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.700000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.750000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.800000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.850000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.900000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 2.950000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.000000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.050000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.100000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.1500000000000012
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.200000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.2500000000000013
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.300000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.350000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.4000000000000012
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.450000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.5000000000000013
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.550000000000001
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.6000000000000014
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.6500000000000012
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.7000000000000015
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.7500000000000013
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373, the epsilon is 3.800000000000001
For n_clusters=9, the silhouette score is 0.5979042053903187, the calinski-harabasz index is 2248.436650537124, the davies_bouldin_score is 0.335592792455414, the epsilon is 3.8500000000000014
For n_clusters=8, the silhouette score is 0.6094228183523475, the calinski-harabasz index is 2443.3021069118217, the davies_bouldin_score is 0.5000161967200829, the epsilon is 3.9000000000000012
For n_clusters=8, the silhouette score is 0.6094228183523475, the calinski-harabasz index is 2443.3021069118217, the davies_bouldin_score is 0.5000161967200829, the epsilon is 3.9500000000000015
For n_clusters=7, the silhouette score is 0.6091796057611335, the calinski-harabasz index is 2677.48229661554, the davies_bouldin_score is 0.5598948949873289, the epsilon is 4.000000000000001
For n_clusters=6, the silhouette score is 0.6182304719182318, the calinski-harabasz index is 2984.675734324775, the davies_bouldin_score is 0.4797753738505904, the epsilon is 4.050000000000002
For n_clusters=6, the silhouette score is 0.6182304719182318, the calinski-harabasz index is 2984.675734324775, the davies_bouldin_score is 0.4797753738505904, the epsilon is 4.100000000000001
For n_clusters=4, the silhouette score is 0.5377014699763076, the calinski-harabasz index is 2163.73459119381, the davies_bouldin_score is 0.48352307348015966, the epsilon is 4.150000000000001
For n_clusters=4, the silhouette score is 0.5377014699763076, the calinski-harabasz index is 2163.73459119381, the davies_bouldin_score is 0.48352307348015966, the epsilon is 4.200000000000001
For n_clusters=4, the silhouette score is 0.5377014699763076, the calinski-harabasz index is 2163.73459119381, the davies_bouldin_score is 0.48352307348015966, the epsilon is 4.250000000000001
For n_clusters=4, the silhouette score is 0.5377014699763076, the calinski-harabasz index is 2163.73459119381, the davies_bouldin_score is 0.48352307348015966, the epsilon is 4.300000000000001
For n_clusters=4, the silhouette score is 0.5377014699763076, the calinski-harabasz index is 2163.73459119381, the davies_bouldin_score is 0.48352307348015966, the epsilon is 4.350000000000001
For n_clusters=4, the silhouette score is 0.5377014699763076, the calinski-harabasz index is 2163.73459119381, the davies_bouldin_score is 0.48352307348015966, the epsilon is 4.400000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.450000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.500000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.550000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.600000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.650000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.700000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.750000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.800000000000002
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.850000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.900000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 4.950000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 5.000000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 5.050000000000002
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 5.100000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 5.150000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 5.200000000000001
For n_clusters=3, the silhouette score is 0.5381622802766433, the calinski-harabasz index is 3058.8771659614167, the davies_bouldin_score is 0.5131108177561357, the epsilon is 5.250000000000002
For n_clusters=2, the silhouette score is 0.6026825913002708, the calinski-harabasz index is 4040.82160540043, the davies_bouldin_score is 0.49877742828769683, the epsilon is 5.300000000000002
The number of clusters with the highest silhouette score is 10
The eps value at higest silhoutte score is 1.4000000000000006
The highest silhouette score is 0.7342123799758532
The number of clusters with the highest calinski-harabasz index is 10
The eps value at higest calinski-harabasz index is 1.4000000000000006
The highest calinski-harabasz index is 7627.829226028036
The number of clusters with the lowest davies_bouldin_score is 11
The lowest davies_bouldin_score is 0.2780754932746002
The eps value at lowest davies_bouldin_score is 1.2500000000000004
---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
<ipython-input-576-e103b799f7ae> in <cell line: 71>()
     69 
     70 
---> 71 plt.plot(float_range, savg,color = 'r', label = 'Silhouette')
     72 plt.plot(float_range, ch, color = 'g', label = 'Calinski-Harabasz')
     73 plt.plot(float_range, db, color = 'y', label = 'Davies-Bouldin')

/usr/local/lib/python3.10/dist-packages/matplotlib/pyplot.py in plot(scalex, scaley, data, *args, **kwargs)
   2810 @_copy_docstring_and_deprecators(Axes.plot)
   2811 def plot(*args, scalex=True, scaley=True, data=None, **kwargs):
-> 2812     return gca().plot(
   2813         *args, scalex=scalex, scaley=scaley,
   2814         **({"data": data} if data is not None else {}), **kwargs)

/usr/local/lib/python3.10/dist-packages/matplotlib/axes/_axes.py in plot(self, scalex, scaley, data, *args, **kwargs)
   1686         """
   1687         kwargs = cbook.normalize_kwargs(kwargs, mlines.Line2D)
-> 1688         lines = [*self._get_lines(*args, data=data, **kwargs)]
   1689         for line in lines:
   1690             self.add_line(line)

/usr/local/lib/python3.10/dist-packages/matplotlib/axes/_base.py in __call__(self, data, *args, **kwargs)
    309                 this += args[0],
    310                 args = args[1:]
--> 311             yield from self._plot_args(
    312                 this, kwargs, ambiguous_fmt_datakey=ambiguous_fmt_datakey)
    313 

/usr/local/lib/python3.10/dist-packages/matplotlib/axes/_base.py in _plot_args(self, tup, kwargs, return_kwargs, ambiguous_fmt_datakey)
    502 
    503         if x.shape[0] != y.shape[0]:
--> 504             raise ValueError(f"x and y must have same first dimension, but "
    505                              f"have shapes {x.shape} and {y.shape}")
    506         if x.ndim > 2 or y.ndim > 2:

ValueError: x and y must have same first dimension, but have shapes (498,) and (105,)
No description has been provided for this image

Cluster visualization and evaluation

DBScan is suppsoed to be robust to be outliers. We will visualize DBScan both on X_pca and X_pca_cleaned.

Best Sillhouette-index with outliers
In [ ]:
e = 3.0
m = 5
In [ ]:
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(X_pca)
n = dbscan.labels_.max() + 1
n
Out[ ]:
10
In [ ]:
X_pca_df = pd.DataFrame(X_pca, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['DBScan_cluster_labels_'+str(n)] = dbscan.labels_
X_pca_df.head()

unique_labels, counts = np.unique(dbscan.labels_, return_counts=True)
print(unique_labels)
print(counts)
colors = plt.cm.rainbow(np.linspace(0, 1, n+1), alpha = 0.5)
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca, dbscan.labels_)
ch_index = calinski_harabasz_score(X_pca, dbscan.labels_)
db_index = davies_bouldin_score(X_pca, dbscan.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["DBScan with outliers", n, silhouette_avg, ch_index, db_index]

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['DBScan_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_complete_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
[-1  0  1  2  3  4  5  6  7  8  9]
[  50  264 2029   80   42  162  710  533   26   88   55]
For n_clusters=11, the silhouette score is 0.7335199834465661, the calinski-harabasz index is 6466.70540062285, the davies_bouldin_score is 0.5677853755880402
No description has been provided for this image
In [ ]:
colors = dbscan.labels_

# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, node_size=10, node_color = [color_map[label] for label in dbscan.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with DBScan clustering " + str(e) + "," + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "," +str(e) + "DBScan_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Best Sillhoute index without outliers
In [ ]:
e = 3.0
m = 5
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(X_pca_cleaned)

unique_labels, counts = np.unique(dbscan.labels_, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)
num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(X_pca_cleaned, dbscan.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, dbscan.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, dbscan.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["DBScan", n, silhouette_avg, ch_index, db_index]

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['DBScan_cluster_labels_'+str(n)] = dbscan.labels_
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['DBScan_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_complete_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  10
For n_clusters=10, the silhouette score is 0.7342123799758532, the calinski-harabasz index is 7627.829226028036, the davies_bouldin_score is 0.2849113909990373
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in dbscan.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with DBScan clustering " + str(e) + "," + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "," +str(e) + "DBScan_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>
In [ ]:
e = 2.0
m = 25
dbscan = DBSCAN(eps = e, min_samples = 25)
dbscan.fit(X_pca_cleaned)

unique_labels, counts = np.unique(dbscan.labels_, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

silhouette_avg = silhouette_score(X_pca_cleaned, dbscan.labels_)
ch_index = calinski_harabasz_score(X_pca_cleaned, dbscan.labels_)
db_index = davies_bouldin_score(X_pca_cleaned, dbscan.labels_)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}".format(num_clusters, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["DBScan", n, silhouette_avg, ch_index, db_index]

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['DBScan_cluster_labels_'+str(n)] = dbscan.labels_
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['DBScan_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Agglomerative_complete_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  9
For n_clusters=10, the silhouette score is 0.7369875828929374, the calinski-harabasz index is 8396.052815261406, the davies_bouldin_score is 0.3279603195855451
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in dbscan.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with DBScan clustering " + str(e) + "," + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "," +str(e) + "DBScan_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Birch Clustering

Hyper parameter tuning

In [ ]:
from sklearn.cluster import Birch
import sys

max_silhouette = sys.float_info.min
max_calinski_harabasz = sys.float_info.min
min_davies_bouldin = sys.float_info.max
branching_factor_at_ssilhouette = 0
branching_factor_at_calinski_harabasz = 0
threshold_at_silhouette = 0
threshold_at_calinski_harabasz = 0
threshold_at_davies_bouldin = 0
branching_factor_at_davies_bouldin = 0
nlabels_at_silhouette = 0
nlabels_at_calinski_harabasz = 0
nlabels_at_davies_bouldin = 0

for b in range(2,50):
  for t in np.arange(0.5, 6.0, 0.2):
     brc = Birch(branching_factor=b, n_clusters=None, threshold=t)
     brc.fit(X_pca)
     labels = brc.predict(X_pca)
     num_labels = len(set(labels))
     if(num_labels > 1):
       ssc = silhouette_score(X_pca, labels)
       if(ssc > max_silhouette):
         max_silhouette = ssc
         branching_factor_at_ssilhouette = b
         threshold_at_silhouette = t
         nlabels_at_silhouette = num_labels
       ch_index = calinski_harabasz_score(X_pca, labels)
       if(ch_index > max_calinski_harabasz):
         max_calinski_harabasz = ch_index
         branching_factor_at_calinski_harabasz = b
         threshold_at_calinski_harabasz = t
         nlabels_at_calinski_harabasz = num_labels
       db_index = davies_bouldin_score(X_pca, labels)
       if(db_index < min_davies_bouldin):
         min_davies_bouldin = db_index
         branching_factor_at_davies_bouldin = b
         threshold_at_davies_bouldin = t
         nlabels_at_davies_bouldin = num_labels
       print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the branching-factor is {4}, threshold is {5}"
         .format(num_labels, ssc, ch_index, db_index, b, t))

print("n clusters at max sillhoutte", nlabels_at_silhouette)
print("Max silhouette score: ", max_silhouette)
print("Branching factor at max silhouette score: ", branching_factor_at_ssilhouette)
print("Threshold at max silhouette score: ", threshold_at_silhouette)

print("n clusters at max calinski-harabasz", nlabels_at_calinski_harabasz)
print("Max calinski-harabasz score: ", max_calinski)
print("Branching factor at max calinski-harabasz score: ", branching_factor_at_calinski_harabasz)
print("Threshold at max calinski-harabasz score: ", threshold_at_calinski_harabasz)

print("n clusters at min davies-bouldin", nlabels_at_davies_bouldin)
print("Min davies-bouldin score: ", min_davies_bouldin)
print("Branching factor at min davies-bouldin score: ", branching_factor_at_davies_bouldin)
print("Threshold at min davies-bouldin score: ", threshold_at_davies_bouldin)
For n_clusters=161, the silhouette score is 0.2831148270492475, the calinski-harabasz index is 6720.544709930724, the davies_bouldin_score is 0.8854951138471748, the branching-factor is 2, threshold is 0.5
For n_clusters=75, the silhouette score is 0.2987174871954281, the calinski-harabasz index is 7037.374602841927, the davies_bouldin_score is 0.7961244183956849, the branching-factor is 2, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3105458960379732, the calinski-harabasz index is 6893.724750630573, the davies_bouldin_score is 0.8492577675177437, the branching-factor is 2, threshold is 0.8999999999999999
For n_clusters=26, the silhouette score is 0.36586148130965235, the calinski-harabasz index is 7235.193176399903, the davies_bouldin_score is 0.7543173644620508, the branching-factor is 2, threshold is 1.0999999999999999
For n_clusters=23, the silhouette score is 0.371452297089726, the calinski-harabasz index is 7059.9402997767975, the davies_bouldin_score is 0.6651562929203378, the branching-factor is 2, threshold is 1.2999999999999998
For n_clusters=19, the silhouette score is 0.42236598990739826, the calinski-harabasz index is 8035.375343453653, the davies_bouldin_score is 0.5338833877519956, the branching-factor is 2, threshold is 1.4999999999999998
For n_clusters=16, the silhouette score is 0.7107713589837187, the calinski-harabasz index is 5605.67684576679, the davies_bouldin_score is 0.26151897209776676, the branching-factor is 2, threshold is 1.6999999999999997
For n_clusters=15, the silhouette score is 0.6803613683371798, the calinski-harabasz index is 5548.141421828364, the davies_bouldin_score is 0.3869514217411671, the branching-factor is 2, threshold is 1.8999999999999997
For n_clusters=14, the silhouette score is 0.7100949922034905, the calinski-harabasz index is 5907.734246071389, the davies_bouldin_score is 0.2795450275044048, the branching-factor is 2, threshold is 2.0999999999999996
For n_clusters=14, the silhouette score is 0.7341755591002979, the calinski-harabasz index is 6415.502464376133, the davies_bouldin_score is 0.271750910347699, the branching-factor is 2, threshold is 2.3
For n_clusters=9, the silhouette score is 0.6993387239064587, the calinski-harabasz index is 5608.676193013602, the davies_bouldin_score is 0.4470243216595098, the branching-factor is 2, threshold is 2.4999999999999996
For n_clusters=8, the silhouette score is 0.5928562946046794, the calinski-harabasz index is 2549.1665604191294, the davies_bouldin_score is 0.5104502673882779, the branching-factor is 2, threshold is 2.6999999999999993
For n_clusters=6, the silhouette score is 0.6043812915029733, the calinski-harabasz index is 3474.2404082429866, the davies_bouldin_score is 0.6515149960285367, the branching-factor is 2, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.5844010915787803, the calinski-harabasz index is 3004.5250858851414, the davies_bouldin_score is 0.540159472309674, the branching-factor is 2, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417243, the davies_bouldin_score is 0.620980106813743, the branching-factor is 2, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417247, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 2, threshold is 3.499999999999999
For n_clusters=5, the silhouette score is 0.5958324400651832, the calinski-harabasz index is 2625.876169605857, the davies_bouldin_score is 0.7218044898508106, the branching-factor is 2, threshold is 3.6999999999999993
For n_clusters=6, the silhouette score is 0.594492499145737, the calinski-harabasz index is 2377.8647874442354, the davies_bouldin_score is 0.6627002494311022, the branching-factor is 2, threshold is 3.8999999999999995
For n_clusters=6, the silhouette score is 0.594492499145737, the calinski-harabasz index is 2377.8647874442354, the davies_bouldin_score is 0.6627002494311022, the branching-factor is 2, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 2, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156927, the davies_bouldin_score is 0.5192171909987549, the branching-factor is 2, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386694, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 2, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 2, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.5375587175798314, the calinski-harabasz index is 3810.268439077001, the davies_bouldin_score is 0.8192470977604994, the branching-factor is 2, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 2, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 2, threshold is 5.499999999999999
For n_clusters=146, the silhouette score is 0.2782594684553605, the calinski-harabasz index is 6798.953976609778, the davies_bouldin_score is 0.9249967825422823, the branching-factor is 3, threshold is 0.5
For n_clusters=83, the silhouette score is 0.3060874052759622, the calinski-harabasz index is 7007.21664902365, the davies_bouldin_score is 0.8821203112424084, the branching-factor is 3, threshold is 0.7
For n_clusters=40, the silhouette score is 0.3280362386082746, the calinski-harabasz index is 6261.629427540391, the davies_bouldin_score is 0.7872448309205315, the branching-factor is 3, threshold is 0.8999999999999999
For n_clusters=31, the silhouette score is 0.3218555036248282, the calinski-harabasz index is 5877.688045002732, the davies_bouldin_score is 0.9180309976860387, the branching-factor is 3, threshold is 1.0999999999999999
For n_clusters=23, the silhouette score is 0.35123434752400073, the calinski-harabasz index is 6841.844958998016, the davies_bouldin_score is 0.7056305526456141, the branching-factor is 3, threshold is 1.2999999999999998
For n_clusters=23, the silhouette score is 0.40217282534064946, the calinski-harabasz index is 6306.855726561803, the davies_bouldin_score is 0.6883615761984547, the branching-factor is 3, threshold is 1.4999999999999998
For n_clusters=19, the silhouette score is 0.43672328408121724, the calinski-harabasz index is 7544.645036326929, the davies_bouldin_score is 0.4736321077278067, the branching-factor is 3, threshold is 1.6999999999999997
For n_clusters=16, the silhouette score is 0.6837058165651498, the calinski-harabasz index is 5650.092769472531, the davies_bouldin_score is 0.3715091670992167, the branching-factor is 3, threshold is 1.8999999999999997
For n_clusters=12, the silhouette score is 0.7326679811599573, the calinski-harabasz index is 6693.974137249126, the davies_bouldin_score is 0.3245407617281338, the branching-factor is 3, threshold is 2.0999999999999996
For n_clusters=12, the silhouette score is 0.7326679811599573, the calinski-harabasz index is 6693.974137249126, the davies_bouldin_score is 0.32454076172813384, the branching-factor is 3, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7086775336473004, the calinski-harabasz index is 5169.5901422582465, the davies_bouldin_score is 0.4326946999343569, the branching-factor is 3, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.593699375278645, the calinski-harabasz index is 2388.5730968520297, the davies_bouldin_score is 0.45753388540337536, the branching-factor is 3, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6148312616564322, the calinski-harabasz index is 3216.996644314328, the davies_bouldin_score is 0.6198055413275555, the branching-factor is 3, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6148312616564322, the calinski-harabasz index is 3216.996644314328, the davies_bouldin_score is 0.6198055413275555, the branching-factor is 3, threshold is 3.0999999999999996
For n_clusters=8, the silhouette score is 0.5963599566516566, the calinski-harabasz index is 2869.0488879770746, the davies_bouldin_score is 0.5148777400943979, the branching-factor is 3, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6148312616564322, the calinski-harabasz index is 3216.996644314328, the davies_bouldin_score is 0.6198055413275555, the branching-factor is 3, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 3, threshold is 3.6999999999999993
For n_clusters=6, the silhouette score is 0.594492499145737, the calinski-harabasz index is 2377.8647874442354, the davies_bouldin_score is 0.6627002494311024, the branching-factor is 3, threshold is 3.8999999999999995
For n_clusters=7, the silhouette score is 0.566351001016691, the calinski-harabasz index is 2041.3658659929486, the davies_bouldin_score is 0.5424955665909261, the branching-factor is 3, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211707136772641, the calinski-harabasz index is 4635.061800421998, the davies_bouldin_score is 0.5185431010502836, the branching-factor is 3, threshold is 4.299999999999999
For n_clusters=6, the silhouette score is 0.5677630224594132, the calinski-harabasz index is 3757.597185258715, the davies_bouldin_score is 0.7011107329198477, the branching-factor is 3, threshold is 4.499999999999999
For n_clusters=5, the silhouette score is 0.6109696864915903, the calinski-harabasz index is 4477.795831506956, the davies_bouldin_score is 0.6663970636266734, the branching-factor is 3, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 3, threshold is 4.899999999999999
For n_clusters=4, the silhouette score is 0.5966439577297407, the calinski-harabasz index is 4953.008214702641, the davies_bouldin_score is 0.5303433430755154, the branching-factor is 3, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 3, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 3, threshold is 5.499999999999999
For n_clusters=147, the silhouette score is 0.272904997621068, the calinski-harabasz index is 6822.820874887834, the davies_bouldin_score is 0.9026310890196206, the branching-factor is 4, threshold is 0.5
For n_clusters=72, the silhouette score is 0.3059840890187429, the calinski-harabasz index is 7068.478345964258, the davies_bouldin_score is 0.8410868549301329, the branching-factor is 4, threshold is 0.7
For n_clusters=39, the silhouette score is 0.3361473897660795, the calinski-harabasz index is 6787.419535270992, the davies_bouldin_score is 0.8030332030859987, the branching-factor is 4, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.3341117352483006, the calinski-harabasz index is 7147.930111685575, the davies_bouldin_score is 0.8024655729035407, the branching-factor is 4, threshold is 1.0999999999999999
For n_clusters=25, the silhouette score is 0.3301535087614992, the calinski-harabasz index is 6612.260782834203, the davies_bouldin_score is 0.7156900119172711, the branching-factor is 4, threshold is 1.2999999999999998
For n_clusters=19, the silhouette score is 0.44609347298310464, the calinski-harabasz index is 6304.707823287182, the davies_bouldin_score is 0.6172968571610491, the branching-factor is 4, threshold is 1.4999999999999998
For n_clusters=16, the silhouette score is 0.7107713589837187, the calinski-harabasz index is 5605.676845766791, the davies_bouldin_score is 0.26151897209776676, the branching-factor is 4, threshold is 1.6999999999999997
For n_clusters=15, the silhouette score is 0.6803613683371798, the calinski-harabasz index is 5548.1414218283635, the davies_bouldin_score is 0.3869514217411671, the branching-factor is 4, threshold is 1.8999999999999997
For n_clusters=16, the silhouette score is 0.6937781638892686, the calinski-harabasz index is 5133.757589456157, the davies_bouldin_score is 0.4309536204947834, the branching-factor is 4, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735094, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 4, threshold is 2.3
For n_clusters=9, the silhouette score is 0.6993387239064587, the calinski-harabasz index is 5608.676193013602, the davies_bouldin_score is 0.4470243216595098, the branching-factor is 4, threshold is 2.4999999999999996
For n_clusters=8, the silhouette score is 0.5928562946046794, the calinski-harabasz index is 2549.1665604191285, the davies_bouldin_score is 0.5104502673882779, the branching-factor is 4, threshold is 2.6999999999999993
For n_clusters=6, the silhouette score is 0.6043812915029733, the calinski-harabasz index is 3474.240408242987, the davies_bouldin_score is 0.6515149960285367, the branching-factor is 4, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.5844010915787803, the calinski-harabasz index is 3004.5250858851414, the davies_bouldin_score is 0.540159472309674, the branching-factor is 4, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.5844468402731049, the calinski-harabasz index is 3004.396879964053, the davies_bouldin_score is 0.538730515354838, the branching-factor is 4, threshold is 3.2999999999999994
For n_clusters=5, the silhouette score is 0.6034129894643013, the calinski-harabasz index is 3800.166447850779, the davies_bouldin_score is 0.548455130749822, the branching-factor is 4, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 4, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 4, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 4, threshold is 4.1
For n_clusters=6, the silhouette score is 0.5660588870758742, the calinski-harabasz index is 3758.8641986212265, the davies_bouldin_score is 0.7059176338680176, the branching-factor is 4, threshold is 4.299999999999999
For n_clusters=6, the silhouette score is 0.565410118888662, the calinski-harabasz index is 3747.4412297778854, the davies_bouldin_score is 0.7225930194703056, the branching-factor is 4, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 4, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 4, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634327, the davies_bouldin_score is 0.5159211033127752, the branching-factor is 4, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 4, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 4, threshold is 5.499999999999999
For n_clusters=147, the silhouette score is 0.2901756266941277, the calinski-harabasz index is 6853.781974701545, the davies_bouldin_score is 0.9231932781641194, the branching-factor is 5, threshold is 0.5
For n_clusters=65, the silhouette score is 0.31190844682802416, the calinski-harabasz index is 7214.918480557661, the davies_bouldin_score is 0.8234240152856819, the branching-factor is 5, threshold is 0.7
For n_clusters=45, the silhouette score is 0.27357433341354215, the calinski-harabasz index is 6184.360026532497, the davies_bouldin_score is 0.8375313139634754, the branching-factor is 5, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.35730564086390126, the calinski-harabasz index is 7980.6889668178665, the davies_bouldin_score is 0.7878705509585915, the branching-factor is 5, threshold is 1.0999999999999999
For n_clusters=24, the silhouette score is 0.34274532798019886, the calinski-harabasz index is 6405.791542152644, the davies_bouldin_score is 0.7731227672530111, the branching-factor is 5, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.4049756310383108, the calinski-harabasz index is 7397.308229125007, the davies_bouldin_score is 0.5594437423791189, the branching-factor is 5, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.44535968613486665, the calinski-harabasz index is 7711.413323896283, the davies_bouldin_score is 0.48719921192264753, the branching-factor is 5, threshold is 1.6999999999999997
For n_clusters=18, the silhouette score is 0.6792113221544098, the calinski-harabasz index is 4984.337775733313, the davies_bouldin_score is 0.5413163589859866, the branching-factor is 5, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7119222299341121, the calinski-harabasz index is 6156.843606424455, the davies_bouldin_score is 0.31887990848971537, the branching-factor is 5, threshold is 2.0999999999999996
For n_clusters=12, the silhouette score is 0.7326679811599573, the calinski-harabasz index is 6693.974137249126, the davies_bouldin_score is 0.32454076172813384, the branching-factor is 5, threshold is 2.3
For n_clusters=9, the silhouette score is 0.6993387239064587, the calinski-harabasz index is 5608.676193013602, the davies_bouldin_score is 0.4470243216595098, the branching-factor is 5, threshold is 2.4999999999999996
For n_clusters=8, the silhouette score is 0.5928562946046794, the calinski-harabasz index is 2549.1665604191294, the davies_bouldin_score is 0.5104502673882779, the branching-factor is 5, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 5, threshold is 2.8999999999999995
For n_clusters=6, the silhouette score is 0.6043812915029733, the calinski-harabasz index is 3474.240408242987, the davies_bouldin_score is 0.6515149960285367, the branching-factor is 5, threshold is 3.0999999999999996
For n_clusters=6, the silhouette score is 0.6116057149027159, the calinski-harabasz index is 3379.318719549592, the davies_bouldin_score is 0.5660865395695271, the branching-factor is 5, threshold is 3.2999999999999994
For n_clusters=6, the silhouette score is 0.6116057149027159, the calinski-harabasz index is 3379.318719549592, the davies_bouldin_score is 0.5660865395695271, the branching-factor is 5, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 5, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 5, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 5, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 5, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 5, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 5, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 5, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 5, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 5, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 5, threshold is 5.499999999999999
For n_clusters=133, the silhouette score is 0.2985352764008811, the calinski-harabasz index is 7028.192346173343, the davies_bouldin_score is 0.8473483112860648, the branching-factor is 6, threshold is 0.5
For n_clusters=69, the silhouette score is 0.3099995672791675, the calinski-harabasz index is 7212.508339620559, the davies_bouldin_score is 0.8333272303644653, the branching-factor is 6, threshold is 0.7
For n_clusters=45, the silhouette score is 0.3301342699372283, the calinski-harabasz index is 6959.077330660572, the davies_bouldin_score is 0.8246927528171257, the branching-factor is 6, threshold is 0.8999999999999999
For n_clusters=30, the silhouette score is 0.32153176773791486, the calinski-harabasz index is 7267.030231736054, the davies_bouldin_score is 0.773336547788266, the branching-factor is 6, threshold is 1.0999999999999999
For n_clusters=24, the silhouette score is 0.32924632808347004, the calinski-harabasz index is 6886.534507246341, the davies_bouldin_score is 0.7320984012723418, the branching-factor is 6, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.44160038585856476, the calinski-harabasz index is 7023.49388073695, the davies_bouldin_score is 0.4617277237891339, the branching-factor is 6, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.5322362126577234, the calinski-harabasz index is 6288.647344610534, the davies_bouldin_score is 0.3463554013188743, the branching-factor is 6, threshold is 1.6999999999999997
For n_clusters=16, the silhouette score is 0.6837217847380519, the calinski-harabasz index is 5650.157588339553, the davies_bouldin_score is 0.37082632758994954, the branching-factor is 6, threshold is 1.8999999999999997
For n_clusters=12, the silhouette score is 0.7326679811599573, the calinski-harabasz index is 6693.974137249126, the davies_bouldin_score is 0.32454076172813384, the branching-factor is 6, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.6514974023483455, the calinski-harabasz index is 6212.32898102131, the davies_bouldin_score is 0.5105841372408275, the branching-factor is 6, threshold is 2.3
For n_clusters=9, the silhouette score is 0.6993387239064587, the calinski-harabasz index is 5608.676193013602, the davies_bouldin_score is 0.4470243216595098, the branching-factor is 6, threshold is 2.4999999999999996
For n_clusters=8, the silhouette score is 0.5928562946046794, the calinski-harabasz index is 2549.1665604191294, the davies_bouldin_score is 0.5104502673882779, the branching-factor is 6, threshold is 2.6999999999999993
For n_clusters=9, the silhouette score is 0.7141600751585175, the calinski-harabasz index is 7222.435796185001, the davies_bouldin_score is 0.45796313317108456, the branching-factor is 6, threshold is 2.8999999999999995
For n_clusters=9, the silhouette score is 0.7141600751585175, the calinski-harabasz index is 7222.435796185001, the davies_bouldin_score is 0.45796313317108456, the branching-factor is 6, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 6, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 6, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 6, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 6, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 6, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 6, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 6, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 6, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 6, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 6, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 6, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 6, threshold is 5.499999999999999
For n_clusters=142, the silhouette score is 0.2918933392469245, the calinski-harabasz index is 6861.364460992778, the davies_bouldin_score is 0.9446172424153224, the branching-factor is 7, threshold is 0.5
For n_clusters=69, the silhouette score is 0.31143812909405055, the calinski-harabasz index is 7100.757481570549, the davies_bouldin_score is 0.8293406441033843, the branching-factor is 7, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3448013137484628, the calinski-harabasz index is 6704.422579261319, the davies_bouldin_score is 0.7666752586240528, the branching-factor is 7, threshold is 0.8999999999999999
For n_clusters=31, the silhouette score is 0.3222235280344809, the calinski-harabasz index is 7538.822303399163, the davies_bouldin_score is 0.7816464537698322, the branching-factor is 7, threshold is 1.0999999999999999
For n_clusters=24, the silhouette score is 0.3884742522273835, the calinski-harabasz index is 7158.264657566736, the davies_bouldin_score is 0.6325386021696486, the branching-factor is 7, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.4087953122949345, the calinski-harabasz index is 7347.147476883475, the davies_bouldin_score is 0.5147163507867477, the branching-factor is 7, threshold is 1.4999999999999998
For n_clusters=19, the silhouette score is 0.4448546633753088, the calinski-harabasz index is 7320.037432872036, the davies_bouldin_score is 0.4721056262059688, the branching-factor is 7, threshold is 1.6999999999999997
For n_clusters=15, the silhouette score is 0.7031288846749515, the calinski-harabasz index is 6030.4289494946715, the davies_bouldin_score is 0.37954607575845356, the branching-factor is 7, threshold is 1.8999999999999997
For n_clusters=12, the silhouette score is 0.7326679811599573, the calinski-harabasz index is 6693.974137249124, the davies_bouldin_score is 0.32454076172813384, the branching-factor is 7, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 7, threshold is 2.3
For n_clusters=10, the silhouette score is 0.7098972069038192, the calinski-harabasz index is 6234.204112606299, the davies_bouldin_score is 0.4415812478467084, the branching-factor is 7, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6031250387279139, the calinski-harabasz index is 2479.5610475639105, the davies_bouldin_score is 0.49399301844561716, the branching-factor is 7, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 7, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 7, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 7, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 7, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 7, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 7, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 7, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 7, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 7, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 7, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 7, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 7, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 7, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 7, threshold is 5.499999999999999
For n_clusters=141, the silhouette score is 0.2803481277791851, the calinski-harabasz index is 6767.88724178469, the davies_bouldin_score is 0.8860512828148022, the branching-factor is 8, threshold is 0.5
For n_clusters=63, the silhouette score is 0.31346025601014454, the calinski-harabasz index is 7068.9803009684565, the davies_bouldin_score is 0.8096354964423714, the branching-factor is 8, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3398192325529513, the calinski-harabasz index is 7255.586761197516, the davies_bouldin_score is 0.7595020521028377, the branching-factor is 8, threshold is 0.8999999999999999
For n_clusters=31, the silhouette score is 0.31665180903551154, the calinski-harabasz index is 7338.271093806999, the davies_bouldin_score is 0.7878620994574753, the branching-factor is 8, threshold is 1.0999999999999999
For n_clusters=24, the silhouette score is 0.39177607053237606, the calinski-harabasz index is 7165.151792842918, the davies_bouldin_score is 0.620631177182641, the branching-factor is 8, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785232, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 8, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375734, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 8, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227282, the davies_bouldin_score is 0.3966654134933458, the branching-factor is 8, threshold is 1.8999999999999997
For n_clusters=14, the silhouette score is 0.7341755591002979, the calinski-harabasz index is 6415.502464376131, the davies_bouldin_score is 0.271750910347699, the branching-factor is 8, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735094, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 8, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 8, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 8, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 8, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 8, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 8, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 8, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 8, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 8, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 8, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 8, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 8, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 8, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 8, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 8, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 8, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 8, threshold is 5.499999999999999
For n_clusters=142, the silhouette score is 0.2832610626411151, the calinski-harabasz index is 6798.853255723912, the davies_bouldin_score is 0.908852598953666, the branching-factor is 9, threshold is 0.5
For n_clusters=66, the silhouette score is 0.3161867284435075, the calinski-harabasz index is 6995.105578756986, the davies_bouldin_score is 0.8272849591598828, the branching-factor is 9, threshold is 0.7
For n_clusters=38, the silhouette score is 0.34445202882365156, the calinski-harabasz index is 7654.3592377269015, the davies_bouldin_score is 0.7622328147778799, the branching-factor is 9, threshold is 0.8999999999999999
For n_clusters=26, the silhouette score is 0.375594662899476, the calinski-harabasz index is 8586.930658642654, the davies_bouldin_score is 0.7484482639772134, the branching-factor is 9, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35249636252946737, the calinski-harabasz index is 6981.267751575815, the davies_bouldin_score is 0.6931255119077274, the branching-factor is 9, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785232, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 9, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 9, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227282, the davies_bouldin_score is 0.3966654134933458, the branching-factor is 9, threshold is 1.8999999999999997
For n_clusters=14, the silhouette score is 0.7341755591002979, the calinski-harabasz index is 6415.502464376131, the davies_bouldin_score is 0.271750910347699, the branching-factor is 9, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735094, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 9, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.3934982591547939, the branching-factor is 9, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 9, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 9, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 9, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 9, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 9, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 9, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 9, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 9, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 9, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 9, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 9, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 9, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 9, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 9, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 9, threshold is 5.499999999999999
For n_clusters=132, the silhouette score is 0.3056603687079802, the calinski-harabasz index is 7043.602549086664, the davies_bouldin_score is 0.8292736963455626, the branching-factor is 10, threshold is 0.5
For n_clusters=69, the silhouette score is 0.29187046887294177, the calinski-harabasz index is 6946.676170168159, the davies_bouldin_score is 0.9155516370587753, the branching-factor is 10, threshold is 0.7
For n_clusters=43, the silhouette score is 0.3532603360036977, the calinski-harabasz index is 7490.63453081401, the davies_bouldin_score is 0.7702180011371128, the branching-factor is 10, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.37841461803292337, the calinski-harabasz index is 8303.179798564413, the davies_bouldin_score is 0.7871746162094186, the branching-factor is 10, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.3910343107955, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 10, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 10, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 10, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227285, the davies_bouldin_score is 0.39666541349334594, the branching-factor is 10, threshold is 1.8999999999999997
For n_clusters=14, the silhouette score is 0.7341755591002979, the calinski-harabasz index is 6415.502464376133, the davies_bouldin_score is 0.27175091034769894, the branching-factor is 10, threshold is 2.0999999999999996
For n_clusters=14, the silhouette score is 0.7280660488943557, the calinski-harabasz index is 5886.273269022023, the davies_bouldin_score is 0.4448887007850296, the branching-factor is 10, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.3934982591547939, the branching-factor is 10, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 10, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 10, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 10, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 10, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 10, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 10, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 10, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 10, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 10, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 10, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 10, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 10, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 10, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 10, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 10, threshold is 5.499999999999999
For n_clusters=135, the silhouette score is 0.29639194463207297, the calinski-harabasz index is 7155.681321341882, the davies_bouldin_score is 0.8857468891831066, the branching-factor is 11, threshold is 0.5
For n_clusters=67, the silhouette score is 0.31799408439584076, the calinski-harabasz index is 7161.960532683653, the davies_bouldin_score is 0.8260343624673001, the branching-factor is 11, threshold is 0.7
For n_clusters=42, the silhouette score is 0.34835678894666133, the calinski-harabasz index is 7382.253697178061, the davies_bouldin_score is 0.7798214804718264, the branching-factor is 11, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.3792057564623383, the calinski-harabasz index is 8551.894640099496, the davies_bouldin_score is 0.7238031835318307, the branching-factor is 11, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.3910343107955, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 11, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 11, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375732, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 11, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227285, the davies_bouldin_score is 0.39666541349334594, the branching-factor is 11, threshold is 1.8999999999999997
For n_clusters=14, the silhouette score is 0.7277583969661686, the calinski-harabasz index is 5886.181219648245, the davies_bouldin_score is 0.40605020541702413, the branching-factor is 11, threshold is 2.0999999999999996
For n_clusters=14, the silhouette score is 0.7277646508568075, the calinski-harabasz index is 5886.076101596332, the davies_bouldin_score is 0.43365774312632904, the branching-factor is 11, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 11, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 11, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 11, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 11, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 11, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 11, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 11, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 11, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 11, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 11, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 11, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 11, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 11, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 11, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 11, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 11, threshold is 5.499999999999999
For n_clusters=139, the silhouette score is 0.2848608454586323, the calinski-harabasz index is 6865.934858947718, the davies_bouldin_score is 0.8883954472921508, the branching-factor is 12, threshold is 0.5
For n_clusters=70, the silhouette score is 0.2973664444638552, the calinski-harabasz index is 6634.714736978541, the davies_bouldin_score is 0.8355295926844173, the branching-factor is 12, threshold is 0.7
For n_clusters=45, the silhouette score is 0.31952815244534943, the calinski-harabasz index is 7455.109158264093, the davies_bouldin_score is 0.8011051096643421, the branching-factor is 12, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.3811848450117421, the calinski-harabasz index is 8375.701037306428, the davies_bouldin_score is 0.7349788455977397, the branching-factor is 12, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.3910343107955, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 12, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.4087953122949345, the calinski-harabasz index is 7347.147476883475, the davies_bouldin_score is 0.5147163507867477, the branching-factor is 12, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375732, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 12, threshold is 1.6999999999999997
For n_clusters=16, the silhouette score is 0.7000193175957262, the calinski-harabasz index is 5627.4965534000075, the davies_bouldin_score is 0.46723575974710563, the branching-factor is 12, threshold is 1.8999999999999997
For n_clusters=15, the silhouette score is 0.72376917056865, the calinski-harabasz index is 5465.680088606534, the davies_bouldin_score is 0.5666027549548173, the branching-factor is 12, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735094, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 12, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 12, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 12, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 12, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 12, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 12, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 12, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 12, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 12, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 12, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 12, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 12, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 12, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 12, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 12, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 12, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 12, threshold is 5.499999999999999
For n_clusters=137, the silhouette score is 0.2922628922226522, the calinski-harabasz index is 6958.950846047514, the davies_bouldin_score is 0.87258134889351, the branching-factor is 13, threshold is 0.5
For n_clusters=70, the silhouette score is 0.3084538221966436, the calinski-harabasz index is 6736.981033767195, the davies_bouldin_score is 0.8426724537587409, the branching-factor is 13, threshold is 0.7
For n_clusters=39, the silhouette score is 0.336553673998767, the calinski-harabasz index is 6424.993035038362, the davies_bouldin_score is 0.8088434152924062, the branching-factor is 13, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100575, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 13, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226888, the branching-factor is 13, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.4087953122949345, the calinski-harabasz index is 7347.147476883475, the davies_bouldin_score is 0.5147163507867477, the branching-factor is 13, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375732, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 13, threshold is 1.6999999999999997
For n_clusters=16, the silhouette score is 0.692475193416401, the calinski-harabasz index is 5159.2193021999765, the davies_bouldin_score is 0.6087782827611725, the branching-factor is 13, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 13, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 13, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 13, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 13, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 13, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 13, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 13, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 13, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 13, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 13, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 13, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 13, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 13, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 13, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 13, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 13, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 13, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 13, threshold is 5.499999999999999
For n_clusters=134, the silhouette score is 0.2836644736833695, the calinski-harabasz index is 6854.016385698781, the davies_bouldin_score is 0.8807881188557385, the branching-factor is 14, threshold is 0.5
For n_clusters=72, the silhouette score is 0.3214496996027377, the calinski-harabasz index is 6855.933029033992, the davies_bouldin_score is 0.8210122292134047, the branching-factor is 14, threshold is 0.7
For n_clusters=39, the silhouette score is 0.33730510521903234, the calinski-harabasz index is 6425.176800564731, the davies_bouldin_score is 0.8143694318113082, the branching-factor is 14, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100575, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 14, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226888, the branching-factor is 14, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.4087953122949345, the calinski-harabasz index is 7347.147476883475, the davies_bouldin_score is 0.5147163507867477, the branching-factor is 14, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375732, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 14, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 14, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 14, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 14, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 14, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 14, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 14, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 14, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 14, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 14, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 14, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 14, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 14, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 14, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 14, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 14, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 14, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 14, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 14, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 14, threshold is 5.499999999999999
For n_clusters=129, the silhouette score is 0.29153130832921464, the calinski-harabasz index is 6929.641045247101, the davies_bouldin_score is 0.8884198869766131, the branching-factor is 15, threshold is 0.5
For n_clusters=67, the silhouette score is 0.33301254995792495, the calinski-harabasz index is 7250.4271914965575, the davies_bouldin_score is 0.8103004170577172, the branching-factor is 15, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3402058039998251, the calinski-harabasz index is 6613.035689246953, the davies_bouldin_score is 0.7999451676082486, the branching-factor is 15, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100575, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 15, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.3910343107955, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 15, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.4087953122949345, the calinski-harabasz index is 7347.147476883475, the davies_bouldin_score is 0.5147163507867477, the branching-factor is 15, threshold is 1.4999999999999998
For n_clusters=19, the silhouette score is 0.48345795545472103, the calinski-harabasz index is 6022.951452594038, the davies_bouldin_score is 0.5047086932191442, the branching-factor is 15, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 15, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 15, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 15, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 15, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 15, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 15, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 15, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 15, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 15, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 15, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 15, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 15, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 15, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 15, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 15, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 15, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 15, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 15, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 15, threshold is 5.499999999999999
For n_clusters=134, the silhouette score is 0.2891682438624407, the calinski-harabasz index is 6924.321187347311, the davies_bouldin_score is 0.8900469782601026, the branching-factor is 16, threshold is 0.5
For n_clusters=67, the silhouette score is 0.3242506507872972, the calinski-harabasz index is 7216.685143464363, the davies_bouldin_score is 0.8034512874314448, the branching-factor is 16, threshold is 0.7
For n_clusters=36, the silhouette score is 0.3480654191700087, the calinski-harabasz index is 6749.218999119611, the davies_bouldin_score is 0.7857405825991857, the branching-factor is 16, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100577, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 16, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.3910343107955, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 16, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020687, the branching-factor is 16, threshold is 1.4999999999999998
For n_clusters=20, the silhouette score is 0.47926866305437116, the calinski-harabasz index is 5706.60664438285, the davies_bouldin_score is 0.6003338623097115, the branching-factor is 16, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 16, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 16, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 16, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 16, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 16, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 16, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 16, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 16, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 16, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 16, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 16, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 16, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 16, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 16, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 16, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 16, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 16, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 16, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 16, threshold is 5.499999999999999
For n_clusters=125, the silhouette score is 0.2931652773373459, the calinski-harabasz index is 6890.202127933977, the davies_bouldin_score is 0.8848367002431414, the branching-factor is 17, threshold is 0.5
For n_clusters=70, the silhouette score is 0.3241761656777625, the calinski-harabasz index is 7018.278665673663, the davies_bouldin_score is 0.830215464571181, the branching-factor is 17, threshold is 0.7
For n_clusters=36, the silhouette score is 0.35104483319214586, the calinski-harabasz index is 6901.509648536424, the davies_bouldin_score is 0.7346726802131083, the branching-factor is 17, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100577, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 17, threshold is 1.0999999999999999
For n_clusters=23, the silhouette score is 0.34759807706215673, the calinski-harabasz index is 6669.22786108332, the davies_bouldin_score is 0.7908594150206403, the branching-factor is 17, threshold is 1.2999999999999998
For n_clusters=21, the silhouette score is 0.4043446278974372, the calinski-harabasz index is 6952.316084476345, the davies_bouldin_score is 0.5754631169342028, the branching-factor is 17, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.1225723757325, the davies_bouldin_score is 0.4337157861992697, the branching-factor is 17, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 17, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 17, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 17, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 17, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 17, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 17, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 17, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 17, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 17, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 17, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 17, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 17, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 17, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 17, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 17, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 17, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 17, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 17, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 17, threshold is 5.499999999999999
For n_clusters=124, the silhouette score is 0.30731567594459663, the calinski-harabasz index is 7037.235308531486, the davies_bouldin_score is 0.8324398579931719, the branching-factor is 18, threshold is 0.5
For n_clusters=68, the silhouette score is 0.32634918639711447, the calinski-harabasz index is 7089.563667722341, the davies_bouldin_score is 0.8009825401918141, the branching-factor is 18, threshold is 0.7
For n_clusters=38, the silhouette score is 0.343578770105688, the calinski-harabasz index is 6588.681858713396, the davies_bouldin_score is 0.7812846068941507, the branching-factor is 18, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100577, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 18, threshold is 1.0999999999999999
For n_clusters=23, the silhouette score is 0.34759807706215673, the calinski-harabasz index is 6669.22786108332, the davies_bouldin_score is 0.7908594150206403, the branching-factor is 18, threshold is 1.2999999999999998
For n_clusters=22, the silhouette score is 0.4006212549291758, the calinski-harabasz index is 6622.64263408838, the davies_bouldin_score is 0.6612247874431837, the branching-factor is 18, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 18, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 18, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 18, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 18, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 18, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 18, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 18, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 18, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 18, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 18, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 18, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 18, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 18, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 18, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 18, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 18, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 18, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 18, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 18, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 18, threshold is 5.499999999999999
For n_clusters=125, the silhouette score is 0.3066172583665318, the calinski-harabasz index is 7083.339242707806, the davies_bouldin_score is 0.8322279226383028, the branching-factor is 19, threshold is 0.5
For n_clusters=68, the silhouette score is 0.32573021955174974, the calinski-harabasz index is 7048.913290762049, the davies_bouldin_score is 0.7946133729012735, the branching-factor is 19, threshold is 0.7
For n_clusters=37, the silhouette score is 0.34470412274068435, the calinski-harabasz index is 6731.220629711847, the davies_bouldin_score is 0.7687338320560404, the branching-factor is 19, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100577, the davies_bouldin_score is 0.7228987562122334, the branching-factor is 19, threshold is 1.0999999999999999
For n_clusters=23, the silhouette score is 0.34759807706215673, the calinski-harabasz index is 6669.22786108332, the davies_bouldin_score is 0.7908594150206403, the branching-factor is 19, threshold is 1.2999999999999998
For n_clusters=21, the silhouette score is 0.40493977764870726, the calinski-harabasz index is 6953.167498521328, the davies_bouldin_score is 0.5830498591374786, the branching-factor is 19, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 19, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 19, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 19, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 19, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 19, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 19, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 19, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 19, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 19, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 19, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 19, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 19, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 19, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 19, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 19, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 19, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 19, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 19, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 19, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 19, threshold is 5.499999999999999
For n_clusters=123, the silhouette score is 0.30832311742245827, the calinski-harabasz index is 7164.747757874509, the davies_bouldin_score is 0.8330156509319734, the branching-factor is 20, threshold is 0.5
For n_clusters=65, the silhouette score is 0.3194638044220147, the calinski-harabasz index is 7015.56937337127, the davies_bouldin_score is 0.8158247169323094, the branching-factor is 20, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3489346637417844, the calinski-harabasz index is 6709.829497960685, the davies_bouldin_score is 0.7336592863990705, the branching-factor is 20, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.3804660018315381, the calinski-harabasz index is 8326.09657920674, the davies_bouldin_score is 0.7934945757971722, the branching-factor is 20, threshold is 1.0999999999999999
For n_clusters=24, the silhouette score is 0.34342899832553775, the calinski-harabasz index is 6379.916246739272, the davies_bouldin_score is 0.8581286147672205, the branching-factor is 20, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 20, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 20, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 20, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 20, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 20, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 20, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 20, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 20, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 20, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 20, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 20, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 20, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 20, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 20, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 20, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 20, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 20, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 20, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 20, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 20, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 20, threshold is 5.499999999999999
For n_clusters=124, the silhouette score is 0.30551221268109047, the calinski-harabasz index is 7054.196586679963, the davies_bouldin_score is 0.8438288106941828, the branching-factor is 21, threshold is 0.5
For n_clusters=64, the silhouette score is 0.32849910453408915, the calinski-harabasz index is 7126.969984412903, the davies_bouldin_score is 0.7872921407288849, the branching-factor is 21, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3489346637417844, the calinski-harabasz index is 6709.829497960685, the davies_bouldin_score is 0.7336592863990705, the branching-factor is 21, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.3804660018315381, the calinski-harabasz index is 8326.09657920674, the davies_bouldin_score is 0.7934945757971722, the branching-factor is 21, threshold is 1.0999999999999999
For n_clusters=23, the silhouette score is 0.34759807706215673, the calinski-harabasz index is 6669.22786108332, the davies_bouldin_score is 0.7908594150206403, the branching-factor is 21, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 21, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 21, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 21, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 21, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 21, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 21, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 21, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 21, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 21, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 21, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 21, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 21, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 21, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 21, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 21, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 21, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 21, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 21, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 21, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 21, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 21, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.31041219051159313, the calinski-harabasz index is 7146.43217010899, the davies_bouldin_score is 0.8316340701182584, the branching-factor is 22, threshold is 0.5
For n_clusters=65, the silhouette score is 0.32700319140343426, the calinski-harabasz index is 7037.505001713349, the davies_bouldin_score is 0.7940094673216315, the branching-factor is 22, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3489346637417844, the calinski-harabasz index is 6709.829497960685, the davies_bouldin_score is 0.7336592863990705, the branching-factor is 22, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.3804660018315381, the calinski-harabasz index is 8326.09657920674, the davies_bouldin_score is 0.7934945757971722, the branching-factor is 22, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 22, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 22, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 22, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 22, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 22, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 22, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 22, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 22, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 22, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 22, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 22, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 22, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 22, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 22, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 22, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 22, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 22, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 22, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 22, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 22, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 22, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 22, threshold is 5.499999999999999
For n_clusters=130, the silhouette score is 0.30652548755672887, the calinski-harabasz index is 7162.276283580434, the davies_bouldin_score is 0.8556914528361236, the branching-factor is 23, threshold is 0.5
For n_clusters=65, the silhouette score is 0.32636544024754394, the calinski-harabasz index is 7017.638828649283, the davies_bouldin_score is 0.776983771837923, the branching-factor is 23, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3489346637417844, the calinski-harabasz index is 6709.829497960685, the davies_bouldin_score is 0.7336592863990705, the branching-factor is 23, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.3804660018315381, the calinski-harabasz index is 8326.09657920674, the davies_bouldin_score is 0.7934945757971722, the branching-factor is 23, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 23, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 23, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 23, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 23, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 23, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 23, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 23, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 23, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 23, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 23, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 23, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 23, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 23, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 23, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 23, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 23, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 23, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 23, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 23, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 23, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 23, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 23, threshold is 5.499999999999999
For n_clusters=125, the silhouette score is 0.31075790234603046, the calinski-harabasz index is 7118.296282454905, the davies_bouldin_score is 0.8410952847420663, the branching-factor is 24, threshold is 0.5
For n_clusters=66, the silhouette score is 0.3275546158501335, the calinski-harabasz index is 6951.201980473226, the davies_bouldin_score is 0.776580915907187, the branching-factor is 24, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3489346637417844, the calinski-harabasz index is 6709.829497960685, the davies_bouldin_score is 0.7336592863990705, the branching-factor is 24, threshold is 0.8999999999999999
For n_clusters=29, the silhouette score is 0.37765368332692295, the calinski-harabasz index is 8028.739285313065, the davies_bouldin_score is 0.8734910558222886, the branching-factor is 24, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 24, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 24, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 24, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 24, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 24, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 24, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 24, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 24, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 24, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 24, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 24, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 24, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 24, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 24, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 24, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 24, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 24, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 24, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 24, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 24, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 24, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 24, threshold is 5.499999999999999
For n_clusters=127, the silhouette score is 0.3105908595565758, the calinski-harabasz index is 7130.988814310261, the davies_bouldin_score is 0.8488853842344085, the branching-factor is 25, threshold is 0.5
For n_clusters=65, the silhouette score is 0.32774289150697616, the calinski-harabasz index is 7021.9349279275775, the davies_bouldin_score is 0.7793147087150811, the branching-factor is 25, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473474, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 25, threshold is 0.8999999999999999
For n_clusters=29, the silhouette score is 0.37765368332692295, the calinski-harabasz index is 8028.739285313065, the davies_bouldin_score is 0.8734910558222886, the branching-factor is 25, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 25, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 25, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 25, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 25, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 25, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 25, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 25, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 25, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 25, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 25, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 25, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 25, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 25, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 25, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 25, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 25, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 25, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 25, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 25, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 25, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 25, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 25, threshold is 5.499999999999999
For n_clusters=127, the silhouette score is 0.30579141307949465, the calinski-harabasz index is 7119.179134954969, the davies_bouldin_score is 0.8643168965578313, the branching-factor is 26, threshold is 0.5
For n_clusters=64, the silhouette score is 0.3277274825303868, the calinski-harabasz index is 7136.742572621201, the davies_bouldin_score is 0.7721297038198047, the branching-factor is 26, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473474, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 26, threshold is 0.8999999999999999
For n_clusters=28, the silhouette score is 0.38119698133778473, the calinski-harabasz index is 8321.49170067893, the davies_bouldin_score is 0.8083375424966385, the branching-factor is 26, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 26, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 26, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 26, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 26, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 26, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 26, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 26, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 26, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 26, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 26, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 26, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 26, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 26, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 26, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 26, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 26, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 26, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 26, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 26, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 26, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 26, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 26, threshold is 5.499999999999999
For n_clusters=127, the silhouette score is 0.306021289578798, the calinski-harabasz index is 7109.471107966584, the davies_bouldin_score is 0.8604713525144475, the branching-factor is 27, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984538, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 27, threshold is 0.7
For n_clusters=37, the silhouette score is 0.3489346637417844, the calinski-harabasz index is 6709.829497960685, the davies_bouldin_score is 0.7336592863990705, the branching-factor is 27, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 27, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 27, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 27, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 27, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 27, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 27, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 27, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 27, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 27, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 27, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 27, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 27, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 27, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 27, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 27, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 27, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 27, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 27, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 27, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 27, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 27, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 27, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 27, threshold is 5.499999999999999
For n_clusters=123, the silhouette score is 0.3056575654837589, the calinski-harabasz index is 6839.479265818866, the davies_bouldin_score is 0.8340888793935186, the branching-factor is 28, threshold is 0.5
For n_clusters=64, the silhouette score is 0.3154160295769476, the calinski-harabasz index is 6899.439382237562, the davies_bouldin_score is 0.8241490900486477, the branching-factor is 28, threshold is 0.7
For n_clusters=36, the silhouette score is 0.3480654191700087, the calinski-harabasz index is 6749.218999119612, the davies_bouldin_score is 0.7857405825991856, the branching-factor is 28, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 28, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 28, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 28, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 28, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 28, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 28, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 28, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 28, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 28, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 28, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 28, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 28, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 28, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 28, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 28, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 28, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 28, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 28, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 28, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 28, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 28, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 28, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 28, threshold is 5.499999999999999
For n_clusters=124, the silhouette score is 0.3047756211964878, the calinski-harabasz index is 6817.913018421233, the davies_bouldin_score is 0.8396997416040869, the branching-factor is 29, threshold is 0.5
For n_clusters=64, the silhouette score is 0.3154160295769476, the calinski-harabasz index is 6899.439382237562, the davies_bouldin_score is 0.8241490900486477, the branching-factor is 29, threshold is 0.7
For n_clusters=36, the silhouette score is 0.3480654191700087, the calinski-harabasz index is 6749.218999119612, the davies_bouldin_score is 0.7857405825991856, the branching-factor is 29, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 29, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 29, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 29, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 29, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 29, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 29, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 29, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 29, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 29, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 29, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 29, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 29, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 29, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 29, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 29, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 29, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 29, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 29, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 29, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 29, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 29, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 29, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 29, threshold is 5.499999999999999
For n_clusters=127, the silhouette score is 0.29758874516405304, the calinski-harabasz index is 6826.1425904650105, the davies_bouldin_score is 0.8512884390819798, the branching-factor is 30, threshold is 0.5
For n_clusters=64, the silhouette score is 0.3154948657320394, the calinski-harabasz index is 6890.215295478792, the davies_bouldin_score is 0.8225878438166483, the branching-factor is 30, threshold is 0.7
For n_clusters=36, the silhouette score is 0.3480654191700087, the calinski-harabasz index is 6749.218999119612, the davies_bouldin_score is 0.7857405825991856, the branching-factor is 30, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 30, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 30, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 30, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 30, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 30, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 30, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 30, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 30, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 30, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 30, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 30, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 30, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 30, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 30, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 30, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 30, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 30, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 30, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 30, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 30, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 30, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 30, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 30, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.30807072398474245, the calinski-harabasz index is 6858.147303067006, the davies_bouldin_score is 0.818217627563233, the branching-factor is 31, threshold is 0.5
For n_clusters=64, the silhouette score is 0.3265380526231664, the calinski-harabasz index is 7229.024493349633, the davies_bouldin_score is 0.7916373920662585, the branching-factor is 31, threshold is 0.7
For n_clusters=36, the silhouette score is 0.3480654191700087, the calinski-harabasz index is 6749.218999119612, the davies_bouldin_score is 0.7857405825991856, the branching-factor is 31, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 31, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 31, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 31, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 31, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 31, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 31, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 31, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 31, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 31, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 31, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 31, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 31, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 31, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 31, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 31, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 31, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 31, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 31, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 31, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 31, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 31, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 31, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 31, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.3082946910660794, the calinski-harabasz index is 6874.952065203638, the davies_bouldin_score is 0.8220990550300551, the branching-factor is 32, threshold is 0.5
For n_clusters=65, the silhouette score is 0.3272378992265584, the calinski-harabasz index is 7205.710226080795, the davies_bouldin_score is 0.7926684504436013, the branching-factor is 32, threshold is 0.7
For n_clusters=36, the silhouette score is 0.3481161206675171, the calinski-harabasz index is 6749.9670269041235, the davies_bouldin_score is 0.8153308900152877, the branching-factor is 32, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 32, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 32, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 32, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 32, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 32, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 32, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 32, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 32, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 32, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 32, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 32, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 32, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 32, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 32, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 32, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 32, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 32, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 32, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 32, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 32, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 32, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 32, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 32, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.3075199502735637, the calinski-harabasz index is 6845.828411013803, the davies_bouldin_score is 0.8284368597918658, the branching-factor is 33, threshold is 0.5
For n_clusters=65, the silhouette score is 0.3274227864168856, the calinski-harabasz index is 7208.846439636477, the davies_bouldin_score is 0.791490666116293, the branching-factor is 33, threshold is 0.7
For n_clusters=36, the silhouette score is 0.34717695595650827, the calinski-harabasz index is 6746.625036692265, the davies_bouldin_score is 0.8197146772659601, the branching-factor is 33, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 33, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 33, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 33, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 33, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 33, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 33, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 33, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 33, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 33, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 33, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 33, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 33, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 33, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 33, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 33, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 33, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 33, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 33, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 33, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 33, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 33, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 33, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 33, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.3073688098642393, the calinski-harabasz index is 6880.074604028728, the davies_bouldin_score is 0.815688436384368, the branching-factor is 34, threshold is 0.5
For n_clusters=65, the silhouette score is 0.3275741871513944, the calinski-harabasz index is 7211.299335267189, the davies_bouldin_score is 0.7879415836731698, the branching-factor is 34, threshold is 0.7
For n_clusters=36, the silhouette score is 0.34717695595650827, the calinski-harabasz index is 6746.625036692265, the davies_bouldin_score is 0.8197146772659601, the branching-factor is 34, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 34, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 34, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 34, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 34, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 34, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 34, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 34, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 34, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 34, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 34, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 34, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 34, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 34, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 34, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 34, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 34, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 34, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 34, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 34, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 34, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 34, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 34, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 34, threshold is 5.499999999999999
For n_clusters=121, the silhouette score is 0.3087077808686102, the calinski-harabasz index is 6898.285504425816, the davies_bouldin_score is 0.8171897754935729, the branching-factor is 35, threshold is 0.5
For n_clusters=65, the silhouette score is 0.32464887575886403, the calinski-harabasz index is 7122.178397235169, the davies_bouldin_score is 0.788252983954406, the branching-factor is 35, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 35, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 35, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 35, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 35, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 35, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 35, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 35, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 35, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 35, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 35, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 35, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 35, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 35, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 35, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 35, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 35, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 35, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 35, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 35, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 35, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 35, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 35, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 35, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 35, threshold is 5.499999999999999
For n_clusters=123, the silhouette score is 0.30882982063652153, the calinski-harabasz index is 6888.557430258505, the davies_bouldin_score is 0.8239446587927352, the branching-factor is 36, threshold is 0.5
For n_clusters=65, the silhouette score is 0.32464887575886403, the calinski-harabasz index is 7122.178397235169, the davies_bouldin_score is 0.788252983954406, the branching-factor is 36, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 36, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 36, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 36, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 36, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 36, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 36, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 36, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 36, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 36, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 36, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 36, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 36, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 36, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 36, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 36, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 36, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 36, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 36, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 36, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 36, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 36, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 36, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 36, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 36, threshold is 5.499999999999999
For n_clusters=125, the silhouette score is 0.3092670653921898, the calinski-harabasz index is 6903.514709286731, the davies_bouldin_score is 0.8160563559043159, the branching-factor is 37, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 37, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 37, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 37, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 37, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 37, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 37, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 37, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 37, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 37, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 37, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 37, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 37, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 37, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 37, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 37, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 37, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 37, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 37, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 37, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 37, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 37, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 37, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 37, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 37, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 37, threshold is 5.499999999999999
For n_clusters=119, the silhouette score is 0.31239685060292915, the calinski-harabasz index is 6907.613731278684, the davies_bouldin_score is 0.8305953465647888, the branching-factor is 38, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 38, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 38, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 38, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 38, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 38, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 38, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 38, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 38, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 38, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 38, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 38, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 38, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 38, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 38, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 38, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 38, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 38, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 38, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 38, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 38, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 38, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 38, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 38, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 38, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 38, threshold is 5.499999999999999
For n_clusters=120, the silhouette score is 0.31117102681823133, the calinski-harabasz index is 6930.118553799156, the davies_bouldin_score is 0.8318350328510709, the branching-factor is 39, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 39, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 39, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 39, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 39, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 39, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 39, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 39, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 39, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 39, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 39, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 39, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 39, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 39, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 39, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 39, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 39, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 39, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 39, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 39, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 39, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 39, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 39, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 39, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 39, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 39, threshold is 5.499999999999999
For n_clusters=118, the silhouette score is 0.31213788911962526, the calinski-harabasz index is 6908.641139688817, the davies_bouldin_score is 0.8257744141903877, the branching-factor is 40, threshold is 0.5
For n_clusters=63, the silhouette score is 0.33263833500755935, the calinski-harabasz index is 7300.634004457638, the davies_bouldin_score is 0.772277885687418, the branching-factor is 40, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 40, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 40, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 40, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 40, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 40, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 40, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 40, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 40, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 40, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 40, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 40, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 40, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 40, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 40, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 40, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 40, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 40, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 40, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 40, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 40, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 40, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 40, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 40, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 40, threshold is 5.499999999999999
For n_clusters=117, the silhouette score is 0.311832011395937, the calinski-harabasz index is 6940.492543442117, the davies_bouldin_score is 0.8282705096877211, the branching-factor is 41, threshold is 0.5
For n_clusters=63, the silhouette score is 0.33263833500755935, the calinski-harabasz index is 7300.634004457638, the davies_bouldin_score is 0.772277885687418, the branching-factor is 41, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 41, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 41, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 41, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 41, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 41, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 41, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 41, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 41, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 41, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 41, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 41, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 41, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 41, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 41, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 41, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 41, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 41, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 41, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 41, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 41, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 41, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 41, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 41, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 41, threshold is 5.499999999999999
For n_clusters=118, the silhouette score is 0.3128929696640414, the calinski-harabasz index is 6891.5768948318255, the davies_bouldin_score is 0.8161512630585124, the branching-factor is 42, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 42, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 42, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 42, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 42, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 42, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 42, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 42, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 42, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 42, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 42, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 42, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 42, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 42, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 42, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 42, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 42, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 42, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 42, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 42, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 42, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 42, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 42, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 42, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 42, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 42, threshold is 5.499999999999999
For n_clusters=120, the silhouette score is 0.31079924672914677, the calinski-harabasz index is 6882.131552225309, the davies_bouldin_score is 0.826812493106826, the branching-factor is 43, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 43, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 43, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 43, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 43, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 43, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 43, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 43, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 43, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 43, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 43, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 43, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 43, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 43, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 43, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 43, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 43, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 43, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 43, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 43, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 43, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 43, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 43, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 43, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 43, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 43, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.3095884550274014, the calinski-harabasz index is 6763.360606264244, the davies_bouldin_score is 0.8250379994176039, the branching-factor is 44, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 44, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 44, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 44, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 44, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 44, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 44, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 44, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 44, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 44, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 44, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 44, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 44, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 44, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 44, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 44, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 44, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 44, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 44, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 44, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 44, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 44, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 44, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 44, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 44, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 44, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.30697911347409695, the calinski-harabasz index is 6806.02031156766, the davies_bouldin_score is 0.8440875038914285, the branching-factor is 45, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 45, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 45, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 45, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 45, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 45, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 45, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 45, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 45, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 45, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 45, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 45, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 45, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 45, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 45, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 45, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 45, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 45, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 45, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 45, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 45, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 45, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 45, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 45, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 45, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 45, threshold is 5.499999999999999
For n_clusters=121, the silhouette score is 0.3084194889904271, the calinski-harabasz index is 6819.700627124152, the davies_bouldin_score is 0.8326487599671808, the branching-factor is 46, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 46, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 46, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 46, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 46, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 46, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 46, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 46, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 46, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 46, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 46, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 46, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 46, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 46, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 46, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 46, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 46, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 46, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 46, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 46, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 46, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 46, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 46, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 46, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 46, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 46, threshold is 5.499999999999999
For n_clusters=121, the silhouette score is 0.30848779578497443, the calinski-harabasz index is 6804.476603761283, the davies_bouldin_score is 0.8304076488644165, the branching-factor is 47, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 47, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 47, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 47, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 47, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 47, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 47, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 47, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 47, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 47, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 47, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 47, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 47, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 47, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 47, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 47, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 47, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 47, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 47, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 47, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 47, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 47, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 47, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 47, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 47, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 47, threshold is 5.499999999999999
For n_clusters=121, the silhouette score is 0.30661684697976394, the calinski-harabasz index is 6797.330445760864, the davies_bouldin_score is 0.8418607921477786, the branching-factor is 48, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 48, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 48, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 48, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 48, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 48, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 48, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 48, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 48, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 48, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 48, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 48, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 48, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 48, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 48, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 48, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 48, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 48, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 48, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 48, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 48, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 48, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 48, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 48, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 48, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 48, threshold is 5.499999999999999
For n_clusters=122, the silhouette score is 0.3061828234051316, the calinski-harabasz index is 6744.450048543073, the davies_bouldin_score is 0.8388757681294423, the branching-factor is 49, threshold is 0.5
For n_clusters=64, the silhouette score is 0.33052848525944456, the calinski-harabasz index is 7186.335686984542, the davies_bouldin_score is 0.7707535215325425, the branching-factor is 49, threshold is 0.7
For n_clusters=35, the silhouette score is 0.35017775966959597, the calinski-harabasz index is 6947.733650473473, the davies_bouldin_score is 0.7886534382951537, the branching-factor is 49, threshold is 0.8999999999999999
For n_clusters=27, the silhouette score is 0.38404132537875396, the calinski-harabasz index is 8641.546658100573, the davies_bouldin_score is 0.7228987562122335, the branching-factor is 49, threshold is 1.0999999999999999
For n_clusters=22, the silhouette score is 0.35044242110312573, the calinski-harabasz index is 6987.391034310797, the davies_bouldin_score is 0.6852082624226887, the branching-factor is 49, threshold is 1.2999999999999998
For n_clusters=20, the silhouette score is 0.40745375812472323, the calinski-harabasz index is 7319.024822785231, the davies_bouldin_score is 0.5151072218020686, the branching-factor is 49, threshold is 1.4999999999999998
For n_clusters=18, the silhouette score is 0.4865675225339466, the calinski-harabasz index is 6378.122572375733, the davies_bouldin_score is 0.43371578619926976, the branching-factor is 49, threshold is 1.6999999999999997
For n_clusters=14, the silhouette score is 0.6997844364469815, the calinski-harabasz index is 5953.834060227284, the davies_bouldin_score is 0.39666541349334583, the branching-factor is 49, threshold is 1.8999999999999997
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 49, threshold is 2.0999999999999996
For n_clusters=13, the silhouette score is 0.7308407434293357, the calinski-harabasz index is 6377.7066735093995, the davies_bouldin_score is 0.2817697816010939, the branching-factor is 49, threshold is 2.3
For n_clusters=11, the silhouette score is 0.7083668570867487, the calinski-harabasz index is 5801.7853628849725, the davies_bouldin_score is 0.393498259154794, the branching-factor is 49, threshold is 2.4999999999999996
For n_clusters=9, the silhouette score is 0.6037175594201727, the calinski-harabasz index is 2485.324582975102, the davies_bouldin_score is 0.49525529159849885, the branching-factor is 49, threshold is 2.6999999999999993
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 49, threshold is 2.8999999999999995
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 49, threshold is 3.0999999999999996
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 49, threshold is 3.2999999999999994
For n_clusters=7, the silhouette score is 0.6150604934892224, the calinski-harabasz index is 3219.8341631417256, the davies_bouldin_score is 0.6209801068137429, the branching-factor is 49, threshold is 3.499999999999999
For n_clusters=4, the silhouette score is 0.6017519296333994, the calinski-harabasz index is 3237.371799661344, the davies_bouldin_score is 0.7757605903877781, the branching-factor is 49, threshold is 3.6999999999999993
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 49, threshold is 3.8999999999999995
For n_clusters=4, the silhouette score is 0.5926052886143689, the calinski-harabasz index is 3287.3650329746797, the davies_bouldin_score is 0.6135423085690397, the branching-factor is 49, threshold is 4.1
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 49, threshold is 4.299999999999999
For n_clusters=5, the silhouette score is 0.6211870340502121, the calinski-harabasz index is 4638.648558156928, the davies_bouldin_score is 0.5192171909987547, the branching-factor is 49, threshold is 4.499999999999999
For n_clusters=4, the silhouette score is 0.6057647122681449, the calinski-harabasz index is 5211.938526386695, the davies_bouldin_score is 0.5335914256179607, the branching-factor is 49, threshold is 4.699999999999999
For n_clusters=2, the silhouette score is 0.4841618676313762, the calinski-harabasz index is 1390.2751911824555, the davies_bouldin_score is 0.8871837201623024, the branching-factor is 49, threshold is 4.899999999999999
For n_clusters=5, the silhouette score is 0.611776968549916, the calinski-harabasz index is 4383.303088634328, the davies_bouldin_score is 0.5159211033127753, the branching-factor is 49, threshold is 5.099999999999999
For n_clusters=4, the silhouette score is 0.5980172425438389, the calinski-harabasz index is 4982.857035400254, the davies_bouldin_score is 0.52973728958926, the branching-factor is 49, threshold is 5.299999999999999
For n_clusters=3, the silhouette score is 0.35533772591634016, the calinski-harabasz index is 764.0528022156819, the davies_bouldin_score is 1.0232344232440198, the branching-factor is 49, threshold is 5.499999999999999
n clusters at max sillhoutte 14
Max silhouette score:  0.7341755591002979
Branching factor at max silhouette score:  2
Threshold at max silhouette score:  2.3
n clusters at max calinski-harabasz 27
---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-73-693843a2cc2b> in <cell line: 51>()
     49 
     50 print("n clusters at max calinski-harabasz", nlabels_at_calinski_harabasz)
---> 51 print("Max calinski-harabasz score: ", max_calinski)
     52 print("Branching factor at max calinski-harabasz score: ", branching_factor_at_calinski_harabasz)
     53 print("Threshold at max calinski-harabasz score: ", threshold_at_calinski_harabasz)

NameError: name 'max_calinski' is not defined

For n_clusters=14, the silhouette score is 0.7341755591002979, the calinski-harabasz index is 6415.502464376133, the davies_bouldin_score is 0.271750910347699, the branching-factor is 2, threshold is 2.3

Vanilla Birch Clustering

In [ ]:
b = 2
t = 2.3
In [ ]:
brc = Birch(branching_factor=b, n_clusters=None, threshold=t)
brc.fit(X_pca_cleaned)
n = brc.labels_.max() + 1
labels = brc.labels_
#print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the branching-factor is {4}"
#      .format(n, silhouette_score(X_pca, labels), calinski_harabasz_score(X_pca, labels), davies_bouldin_score(X_pca, labels), b))


unique_labels, counts = np.unique(brc.labels_, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the branching-factor is {4}"
      .format(n, silhouette_avg, ch_index, db_index, b))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Birch", n, silhouette_avg, ch_index, db_index]

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Birch_cluster_labels_'+str(n)] = brc.labels_
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Birch_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  10
For n_clusters=10, the silhouette score is 0.6734898561857627, the calinski-harabasz index is 8561.215633261487, the davies_bouldin_score is 0.4298099272317444, the branching-factor is 2
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in brc.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')

plt.axis('off')
plt.title("Facebook Combined Graph with Birch clustering " + str(t) + "," + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "," +str(t) + "Birch_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

KMeans with Birch cluster centers as init

In [ ]:
# Extract cluster centers from Birch
birch_cluster_centers = brc.subcluster_centers_

# Apply k-means clustering using Birch cluster centers as initial centroids
kmeans_after_brc = KMeans(n_clusters=len(birch_cluster_centers), init=birch_cluster_centers, random_state=42)
kmeans_after_brc.fit(X_pca_cleaned)

labels = kmeans_after_brc.predict(X_pca_cleaned)
num_labels = len(set(labels))
inertia = kmeans_after_brc.inertia_


silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)
inertia = kmeans_after_brc.inertia_
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_labels, silhouette_avg, ch_index, db_index, inertia))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["KMeans on Birch cluster centers", n, silhouette_avg, ch_index, db_index]
For n_clusters=10, the silhouette score is 0.6892471052144842, the calinski-harabasz index is 8753.610403536863, the davies_bouldin_score is 0.4072375747490022, the inerta is 4724.25727668624
In [ ]:
unique_labels, counts = np.unique(kmeans_after_brc.labels_, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['KMeans_On_Birch_cluster_labels_'+str(n)] = brc.labels_
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['KMeans_On_Birch_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  10
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in brc.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with KMeans on Birch clustering " + str(t) + "," + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "," +str(t) + "KMeans_on_Birch_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Fit Birch to pre-trained Kmeans cluster centers and then predict on original data

In [ ]:
kmeans_cluster_centers = kmeans.cluster_centers_

birch = Birch(threshold=t, n_clusters=len(kmeans_cluster_centers), branching_factor=b, compute_labels=True)
birch.fit(kmeans_cluster_centers)

labels = birch.predict(X_pca_cleaned)
num_labels = len(set(labels))


silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the branching-factor is {4}"
      .format(num_labels, silhouette_avg, ch_index, db_index, birch.branching_factor))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Birch on KMeans cluster centers", n, silhouette_avg, ch_index, db_index]
For n_clusters=6, the silhouette score is 0.7117093580979696, the calinski-harabasz index is 8893.3226129769, the davies_bouldin_score is 0.5512935361304945, the branching-factor is 2
In [ ]:
unique_labels, counts = np.unique(birch.labels_, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Birch_On_KMeans_cluster_labels_'+str(n)] = labels
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Birch_On_KMeans_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  6
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes , node_size=10, node_color = [color_map[label] for label in labels], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')

plt.axis('off')
plt.title("Facebook Combined Graph with Birch on KMeansclustering " + str(t) + "," + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "," +str(t) + "Birch_on_KMeans_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Gaussian Mixture Models

Hyper parameter tuning to find best number of components

In [ ]:
# training gaussian mixture model
from sklearn.mixture import GaussianMixture

for i in range(3,30):
  gmm = GaussianMixture(n_components=i)
  gmm.fit(X_pca)

  #predictions from gmm
  labels = gmm.predict(X_pca_cleaned)
  num_labels = len(set(labels))

  silhouette_score(X_pca_cleaned, labels)
  calinski_harabasz_score(X_pca_cleaned, labels)
  davies_bouldin_score(X_pca_cleaned, labels)

  print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the n-components is {4}"
      .format(num_labels, silhouette_score(X_pca_cleaned, labels), calinski_harabasz_score(X_pca_cleaned, labels), davies_bouldin_score(X_pca_cleaned, labels), i))
For n_clusters=3, the silhouette score is 0.6236909168120066, the calinski-harabasz index is 3996.421768235391, the davies_bouldin_score is 0.6582006402380415, the n-components is 3
For n_clusters=4, the silhouette score is 0.6250710661967688, the calinski-harabasz index is 5453.8938867506595, the davies_bouldin_score is 0.5795515644903595, the n-components is 4
For n_clusters=5, the silhouette score is 0.7022501442261443, the calinski-harabasz index is 8172.612712933423, the davies_bouldin_score is 0.5201679179758244, the n-components is 5
For n_clusters=6, the silhouette score is 0.39996336793594583, the calinski-harabasz index is 6599.465516833284, the davies_bouldin_score is 0.7827119666034547, the n-components is 6
For n_clusters=6, the silhouette score is 0.5594720594236905, the calinski-harabasz index is 3744.930997399335, the davies_bouldin_score is 0.9732004279993616, the n-components is 7
For n_clusters=7, the silhouette score is 0.3998521229560909, the calinski-harabasz index is 7026.69782010255, the davies_bouldin_score is 1.2133286413448743, the n-components is 8
For n_clusters=8, the silhouette score is 0.41798127313262234, the calinski-harabasz index is 7582.3987261310995, the davies_bouldin_score is 0.9816471443934844, the n-components is 9
For n_clusters=9, the silhouette score is 0.3902874892020276, the calinski-harabasz index is 7346.916261366438, the davies_bouldin_score is 1.172476080133652, the n-components is 10
For n_clusters=10, the silhouette score is 0.37452298425889624, the calinski-harabasz index is 8442.453565761365, the davies_bouldin_score is 0.9402725742980749, the n-components is 11
For n_clusters=11, the silhouette score is 0.30692020312375723, the calinski-harabasz index is 6830.542203434687, the davies_bouldin_score is 1.043559321419806, the n-components is 12
For n_clusters=12, the silhouette score is 0.35956886752528594, the calinski-harabasz index is 8173.288762443297, the davies_bouldin_score is 0.9060673722380582, the n-components is 13
For n_clusters=12, the silhouette score is 0.3850684301005401, the calinski-harabasz index is 7877.691166322938, the davies_bouldin_score is 0.7349684600974814, the n-components is 14
For n_clusters=12, the silhouette score is 0.31770037422247943, the calinski-harabasz index is 7943.923272216971, the davies_bouldin_score is 0.9301947913298441, the n-components is 15
For n_clusters=13, the silhouette score is 0.34735953151565613, the calinski-harabasz index is 7174.159806694217, the davies_bouldin_score is 1.8007190109821236, the n-components is 16
For n_clusters=14, the silhouette score is 0.35195712872904394, the calinski-harabasz index is 7439.6145832459815, the davies_bouldin_score is 1.44401750040384, the n-components is 17
For n_clusters=15, the silhouette score is 0.2912378912882627, the calinski-harabasz index is 7801.575945940582, the davies_bouldin_score is 1.1584269721456486, the n-components is 18
For n_clusters=16, the silhouette score is 0.25447169639143913, the calinski-harabasz index is 7081.996148032652, the davies_bouldin_score is 1.2293322897551477, the n-components is 19
For n_clusters=17, the silhouette score is 0.21618345853722817, the calinski-harabasz index is 6607.2958062297785, the davies_bouldin_score is 1.6946640012289702, the n-components is 20
For n_clusters=18, the silhouette score is 0.2602243330253295, the calinski-harabasz index is 6425.602959270632, the davies_bouldin_score is 1.3042579712177107, the n-components is 21
For n_clusters=19, the silhouette score is 0.24450841139233576, the calinski-harabasz index is 6500.962352081073, the davies_bouldin_score is 1.644793051027155, the n-components is 22
For n_clusters=20, the silhouette score is 0.2645280568672396, the calinski-harabasz index is 6457.882752487508, the davies_bouldin_score is 1.5056015271879546, the n-components is 23
For n_clusters=21, the silhouette score is 0.22504032611655886, the calinski-harabasz index is 6572.224291413645, the davies_bouldin_score is 1.6430189959111816, the n-components is 24
For n_clusters=22, the silhouette score is 0.2278646828251305, the calinski-harabasz index is 5769.075314950126, the davies_bouldin_score is 1.9797066762948958, the n-components is 25
For n_clusters=23, the silhouette score is 0.20021521113050708, the calinski-harabasz index is 5469.261671628598, the davies_bouldin_score is 1.5818967058296196, the n-components is 26
For n_clusters=23, the silhouette score is 0.20763799120308615, the calinski-harabasz index is 5735.43458937542, the davies_bouldin_score is 1.3406844613359317, the n-components is 27
For n_clusters=25, the silhouette score is 0.18405260048523273, the calinski-harabasz index is 5095.93057239733, the davies_bouldin_score is 2.0029688200043405, the n-components is 28
For n_clusters=25, the silhouette score is 0.18348732527106246, the calinski-harabasz index is 5595.635168203603, the davies_bouldin_score is 1.6572857034768846, the n-components is 29

For n_clusters=5, the silhouette score is 0.7022501442261443, the calinski-harabasz index is 8172.612712933423, the davies_bouldin_score is 0.5201679179758244, the n-components is 5

Cluster visualization and evaluation

In [ ]:
gmm = GaussianMixture(n_components=5)
gmm.fit(X_pca_cleaned)

#predictions from gmm
labels = gmm.predict(X_pca_cleaned)
num_labels = len(set(labels))

silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}"
      .format(num_labels, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["GMM", n, silhouette_avg, ch_index, db_index]
For n_clusters=5, the silhouette score is 0.7054748319134619, the calinski-harabasz index is 9038.53386217772, the davies_bouldin_score is 0.46481691350549703
In [ ]:
unique_labels, counts = np.unique(labels, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['GMM_cluster_labels_'+str(n)] = labels
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['GMM_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  5
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In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in labels], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with GMM clustering " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "GMM_facebook_combined_graph.png")
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<Figure size 800x550 with 0 Axes>

Affinity Propogation

Cluster visualization adn evaluation

In [ ]:
from sklearn.cluster import AffinityPropagation

af = AffinityPropagation(preference = -1000, random_state = 42).fit(X_pca_cleaned)
cluster_centers_indices = af.cluster_centers_indices_
labels = af.labels_
n_clusters_ = len(cluster_centers_indices)

# Plot result
import matplotlib.pyplot as plt
from itertools import cycle

plt.close('all')
plt.figure(1)
plt.clf()

colors = cycle('bgrcmykbgrcmykbgrcmykbgrcmyk')

for k, col in zip(range(n_clusters_), colors):
    class_members = labels == k
    cluster_center = X_pca_cleaned[cluster_centers_indices[k]]
    plt.plot(X_pca_cleaned[class_members, 0], X_pca_cleaned[class_members, 1], col + '.')
    plt.plot(cluster_center[0], cluster_center[1], 'o',
             markerfacecolor = col, markeredgecolor ='k',
             markersize = 10)

    for x in X_pca_cleaned[class_members]:
        plt.plot([cluster_center[0], x[0]],
                 [cluster_center[1], x[1]], col)

plt.title('Estimated number of clusters: % d' % n_clusters_)
plt.show()

# Calculate scores

silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)

print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}"
      .format(n_clusters_, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Affinity Propogation", n_clusters_, silhouette_avg, ch_index, db_index]
No description has been provided for this image
For n_clusters=986, the silhouette score is 0.16426797679482721, the calinski-harabasz index is 164.99722404875328, the davies_bouldin_score is 0.4556762487347902
In [ ]:
unique_labels, counts = np.unique(labels, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['Affinity_prop_cluster_labels_'+str(n)] = labels
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['Affinity_prop_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  986
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes,  node_size=10, node_color = [color_map[label] for label in labels], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Affinity Propogation clustering " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Affinity_Propogation_facebook_combined_graph.png")
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<Figure size 800x550 with 0 Axes>
In [ ]:
 

Self Organizing Map

In [ ]:
!pip install sklearn-som
from sklearn_som.som import SOM
Requirement already satisfied: sklearn-som in /usr/local/lib/python3.10/dist-packages (1.1.0)
Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from sklearn-som) (1.25.2)

Cluster visualization and evaluation

In [ ]:
clusters = 5
som = SOM(m=4039, n=5, dim=5)
som.fit(X_pca_cleaned)
predictions = som.predict(X_pca_cleaned)
In [ ]:
labels = predictions
unique_labels, counts = np.unique(labels, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)

print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}"
      .format(n, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Self Organizing Map", n_clusters_, silhouette_avg, ch_index, db_index]

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['SOM_cluster_labels_'+str(n)] = labels
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['SOM_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()

# Calculate scores
Number of clusters:  440
For n_clusters=440, the silhouette score is 0.17340228100102398, the calinski-harabasz index is 3669.9230342917167, the davies_bouldin_score is 1.1168810793621389
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in labels], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black')
plt.axis('off')
plt.title("Facebook Combined Graph with Self Organizing Map clustering " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "Self_Organizing_Map_facebook_combined_graph.png")
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<Figure size 800x550 with 0 Axes>

OPTIC

Hyper Parameter Tuning

In [ ]:
from sklearn.cluster import OPTICS
from sklearn.model_selection import GridSearchCV
from sklearn.metrics import silhouette_score, calinski_harabasz_score, davies_bouldin_score

# Assuming your data is stored in a variable called 'X'
# X is a 2D array with shape (4039, 5)

# Define the parameter grid
param_grid = {
    'min_samples': [5, 10, 20,30,40,50,60,70,80,90,100,1000],
    'xi': [0.05, 0.1, 0.2],
    'min_cluster_size': [5, 10, 20,30,50,70,100,1000]
}

# Create an OPTICS object
optics = OPTICS()

# Define a custom scoring function using silhouette score
def silhouette_scorer(estimator, X):
    labels = estimator.fit_predict(X)
    return silhouette_score(X, labels)
 #   return -davies_bouldin_score(X, labels) # For best Davies Boudin min is needed
  #  return calinski_harabasz_score(X, labels) # For best Calinski Harabasz max is needed

# Perform grid search with custom scoring function
grid_search = GridSearchCV(estimator=optics, param_grid=param_grid, scoring=silhouette_scorer, cv=5)
grid_search.fit(X_pca_cleaned)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_score = grid_search.best_score_

print("Best Parameters:", best_params)
print("Best Silhouette Score:", best_score)
Best Parameters: {'min_cluster_size': 30, 'min_samples': 20, 'xi': 0.2}
Best Silhouette Score: 0.7712832842999285

Best Silhoutte score

Best Parameters: {'min_cluster_size': 100, 'min_samples': 40, 'xi': 0.2} Best Silhouette Score: 0.5591905292246786

Best Davis Boudin Index

Best Parameters: {'min_cluster_size': 5, 'min_samples': 5, 'xi': 0.2} Best Davies Boudin Score: 0.6556501151390991

In [ ]:
def davies_bouldin_scorer(estimator, X):
    labels = estimator.fit_predict(X)
    return -davies_bouldin_score(X, labels)

# Perform grid search with custom scoring function
grid_search = GridSearchCV(estimator=optics, param_grid=param_grid, scoring=davies_bouldin_scorer, cv=5)
grid_search.fit(X_pca_cleaned)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_score = grid_search.best_score_

print("Best Parameters:", best_params)
print("Best Silhouette Score:", best_score)
Best Parameters: {'min_cluster_size': 5, 'min_samples': 20, 'xi': 0.2}
Best Silhouette Score: -0.30906976150978993

Cluster Visualization and evaluation

Best Silhoutte Score

In [ ]:
optics = OPTICS(min_cluster_size = 30, min_samples = 20, xi = 0.2)
labels = optics.fit_predict(X_pca_cleaned)

unique_labels, counts = np.unique(labels, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)

print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}"
      .format(n, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Optics", n, silhouette_avg, ch_index, db_index]

colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['OPTIC_cluster_labels_'+str(n)] = labels
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['OPTIC_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  9
For n_clusters=9, the silhouette score is 0.7032122260968677, the calinski-harabasz index is 5965.825815491242, the davies_bouldin_score is 0.8878362801887835
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in labels], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_color = "black", node_size = 10, alpha=0.5)
plt.axis('off')
plt.title("Facebook Combined Graph with OPTIC clustering " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "OPTIC_facebook_combined_graph.png")
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<Figure size 800x550 with 0 Axes>

Best Davies Boudin Index Clustering

In [ ]:
optics = OPTICS(min_cluster_size = 5, min_samples = 20, xi = 0.2)
labels = optics.fit_predict(X_pca_cleaned)

unique_labels, counts = np.unique(labels, return_counts=True)
n = len(unique_labels)
print("Number of clusters: ", n)

silhouette_avg = silhouette_score(X_pca_cleaned, labels)
ch_index = calinski_harabasz_score(X_pca_cleaned, labels)
db_index = davies_bouldin_score(X_pca_cleaned, labels)

print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}"
      .format(n, silhouette_avg, ch_index, db_index))

cluster_metrics_df.loc[len(cluster_metrics_df)] = ["Optics", n, silhouette_avg, ch_index, db_index]


colors = plt.cm.rainbow(np.linspace(0, 1, n))
color_map = {cluster: color for cluster, color in zip(unique_labels, colors)}

X_pca_df = pd.DataFrame(X_pca_cleaned, columns = ['PC1', 'PC2','PC3', 'PC34', 'PC5'])
X_pca_df['OPTIC_cluster_labels_'+str(n)] = labels
X_pca_df.head()

plt.figure(figsize=(12,6),dpi=100)

plt.subplot(2,1,1)
sns.scatterplot(x=X_pca_df['PC1'],y=X_pca_df['PC2'],data=X_pca_df,hue=X_pca_df['OPTIC_cluster_labels_'+str(n)])

plt.subplot(2,1,2)
#sns.histplot(data=X_pca_df, x='Birch_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=counts, palette=[color_map[label] for label in unique_labels])

plt.show()
Number of clusters:  11
For n_clusters=11, the silhouette score is 0.7179846239354063, the calinski-harabasz index is 6435.3541051173, the davies_bouldin_score is 0.7545325738994354
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
nx.draw_networkx(nx_graph, pos, nodelist = cluster_nodes, node_size=10, node_color = [color_map[label] for label in labels], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
nx.draw_networkx_nodes(nx_graph, pos, nodelist = outlier_nodes, node_color = "black", node_size = 10)
plt.axis('off')
plt.title("Facebook Combined Graph with OPTIC clustering " + str(n))
plt.show()
plt.savefig(prefix_path + str(n) + "OPTIC_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 800x550 with 0 Axes>

Conclusion

In [ ]:
print(cluster_metrics_df)
                                            Algorithm  Number of Clusters  \
0                                              KMeans                   8   
1                                              KMeans                  29   
2                                              KMeans                  12   
3                     Agglomerative with Ward Linkage                   8   
4                     Agglomerative with Ward Linkage                  13   
5   Agglomerative with Ward Linkage with Outliers ...                   8   
6                 Agglomerative with Complete Linkage                   8   
7                 Agglomerative with Complete Linkage                  12   
8                 Agglomerative with Complete Linkage                   8   
9   Agglomerative with Complete Linkage with outli...                   8   
10                                             DBScan                  13   
11                                             DBScan                   8   
12                                             DBScan                  10   
13                               DBScan with outliers                  10   
14                                             DBScan                  10   
15                                             DBScan                   9   
16                                             DBScan                   9   
17                                             DBScan                  10   
18                                              Birch                  10   
19                                              Birch                  10   
20                    KMeans on Birch cluster centers                  10   
21                                             KMeans                   8   
22                    Birch on KMeans cluster centers                   8   
23                                             KMeans                   8   
24                    Birch on KMeans cluster centers                   6   
25                    Birch on KMeans cluster centers                   6   
26                    Birch on KMeans cluster centers                   6   
27                                                GMM                   5   
28                               Affinity Propogation                1881   
29                               Affinity Propogation                 986   
30                               Affinity Propogation                2866   
31                               Affinity Propogation                1108   
32                               Affinity Propogation                 986   
33                                             Optics                   9   
34                                             Optics                  11   
35                                             Optics                  11   

    Silhouette Index  Calinski-Harbasz Index  Davies-Bouldin Index  
0           0.510123             8650.418965              0.667182  
1           0.356572            10702.355179              0.841812  
2           0.452764             9090.082715              0.685359  
3           0.728877             8813.655868              0.437337  
4           0.438864            10169.876341              0.651856  
5           0.708733             7540.989843              0.545028  
6           0.728877             8813.655868              0.437337  
7           0.442282             8941.901223              0.565496  
8           0.589275             2651.241601              0.594131  
9           0.589275             2651.241601              0.594131  
10          0.735922             6290.139479              1.207911  
11          0.736988             8396.052815              0.327960  
12          0.733520             6466.705401              0.567785  
13          0.733520             6466.705401              0.567785  
14          0.734212             7627.829226              0.284911  
15          0.736988             8396.052815              0.327960  
16          0.736988             8396.052815              0.327960  
17          0.734212             7627.829226              0.284911  
18          0.673490             8561.215633              0.429810  
19          0.673490             8561.215633              0.429810  
20          0.689247             8753.610404              0.407238  
21          0.510123             8650.418965              0.667182  
22          0.711709             8893.322613              0.551294  
23          0.510123             8650.418965              0.667182  
24          0.711709             8893.322613              0.551294  
25          0.711709             8893.322613              0.551294  
26          0.711709             8893.322613              0.551294  
27          0.705475             9038.533862              0.464817  
28          0.125468              377.316021              0.414840  
29          0.164268              164.997224              0.455676  
30          0.060668               46.184668              0.194667  
31          0.155774              129.472195              0.490500  
32          0.164268              164.997224              0.455676  
33          0.703212             5965.825815              0.887836  
34          0.710864             5945.352541              0.873533  
35          0.717985             6435.354105              0.754533  
In [ ]:
cluster_metrics_df_formatted = cluster_metrics_df.set_index('Algorithm', inplace = False)
cluster_metrics_df_formatted
Out[ ]:
Number of Clusters Silhouette Index Calinski-Harbasz Index Davies-Bouldin Index
Algorithm
KMeans 8 0.510123 8650.418965 0.667182
KMeans 29 0.356572 10702.355179 0.841812
KMeans 12 0.452764 9090.082715 0.685359
Agglomerative with Ward Linkage 8 0.728877 8813.655868 0.437337
Agglomerative with Ward Linkage 13 0.438864 10169.876341 0.651856
Agglomerative with Ward Linkage with Outliers included 8 0.708733 7540.989843 0.545028
Agglomerative with Complete Linkage 8 0.728877 8813.655868 0.437337
Agglomerative with Complete Linkage 12 0.442282 8941.901223 0.565496
Agglomerative with Complete Linkage 8 0.589275 2651.241601 0.594131
Agglomerative with Complete Linkage with outliers included 8 0.589275 2651.241601 0.594131
DBScan 13 0.735922 6290.139479 1.207911
DBScan 8 0.736988 8396.052815 0.327960
DBScan 10 0.733520 6466.705401 0.567785
DBScan with outliers 10 0.733520 6466.705401 0.567785
DBScan 10 0.734212 7627.829226 0.284911
DBScan 9 0.736988 8396.052815 0.327960
DBScan 9 0.736988 8396.052815 0.327960
DBScan 10 0.734212 7627.829226 0.284911
Birch 10 0.673490 8561.215633 0.429810
Birch 10 0.673490 8561.215633 0.429810
KMeans on Birch cluster centers 10 0.689247 8753.610404 0.407238
KMeans 8 0.510123 8650.418965 0.667182
Birch on KMeans cluster centers 8 0.711709 8893.322613 0.551294
KMeans 8 0.510123 8650.418965 0.667182
Birch on KMeans cluster centers 6 0.711709 8893.322613 0.551294
Birch on KMeans cluster centers 6 0.711709 8893.322613 0.551294
Birch on KMeans cluster centers 6 0.711709 8893.322613 0.551294
GMM 5 0.705475 9038.533862 0.464817
Affinity Propogation 1881 0.125468 377.316021 0.414840
Affinity Propogation 986 0.164268 164.997224 0.455676
Affinity Propogation 2866 0.060668 46.184668 0.194667
Affinity Propogation 1108 0.155774 129.472195 0.490500
Affinity Propogation 986 0.164268 164.997224 0.455676
Optics 9 0.703212 5965.825815 0.887836
Optics 11 0.710864 5945.352541 0.873533
Optics 11 0.717985 6435.354105 0.754533

Clustering using node2vec embeddings

In [ ]:
! pip install node2vec
Collecting node2vec
  Downloading node2vec-0.4.6-py3-none-any.whl (7.0 kB)
Requirement already satisfied: gensim<5.0.0,>=4.1.2 in /usr/local/lib/python3.10/dist-packages (from node2vec) (4.3.2)
Requirement already satisfied: joblib<2.0.0,>=1.1.0 in /usr/local/lib/python3.10/dist-packages (from node2vec) (1.4.0)
Collecting networkx<3.0,>=2.5 (from node2vec)
  Downloading networkx-2.8.8-py3-none-any.whl (2.0 MB)
     ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 2.0/2.0 MB 9.9 MB/s eta 0:00:00
Requirement already satisfied: numpy<2.0.0,>=1.19.5 in /usr/local/lib/python3.10/dist-packages (from node2vec) (1.25.2)
Requirement already satisfied: tqdm<5.0.0,>=4.55.1 in /usr/local/lib/python3.10/dist-packages (from node2vec) (4.66.2)
Requirement already satisfied: scipy>=1.7.0 in /usr/local/lib/python3.10/dist-packages (from gensim<5.0.0,>=4.1.2->node2vec) (1.11.4)
Requirement already satisfied: smart-open>=1.8.1 in /usr/local/lib/python3.10/dist-packages (from gensim<5.0.0,>=4.1.2->node2vec) (6.4.0)
Installing collected packages: networkx, node2vec
  Attempting uninstall: networkx
    Found existing installation: networkx 3.3
    Uninstalling networkx-3.3:
      Successfully uninstalled networkx-3.3
ERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.
torch 2.2.1+cu121 requires nvidia-cublas-cu12==12.1.3.1; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cuda-cupti-cu12==12.1.105; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cuda-nvrtc-cu12==12.1.105; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cuda-runtime-cu12==12.1.105; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cudnn-cu12==8.9.2.26; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cufft-cu12==11.0.2.54; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-curand-cu12==10.3.2.106; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cusolver-cu12==11.4.5.107; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-cusparse-cu12==12.1.0.106; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-nccl-cu12==2.19.3; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
torch 2.2.1+cu121 requires nvidia-nvtx-cu12==12.1.105; platform_system == "Linux" and platform_machine == "x86_64", which is not installed.
Successfully installed networkx-2.8.8 node2vec-0.4.6
In [ ]:
from node2vec import Node2Vec
import networkx as nx

# Precompute probabilities and generate walks
node2vec = Node2Vec(nx_graph, dimensions=64, walk_length=30, num_walks=200, workers=4)

# Embed nodes
model = node2vec.fit(window=10, min_count=1, batch_words=4)
Computing transition probabilities:   0%|          | 0/4039 [00:00<?, ?it/s]
In [ ]:
from sklearn.cluster import KMeans

# Get node embeddings
node_embeddings = [model.wv[str(n)] for n in nx_graph.nodes()]
node_embeddings = np.array(node_embeddings)

# Perform K-means clustering

KMeans

In [ ]:
import sys
# Solution
ssd = []
savg = []
chi = []
dbi = []
num_with_max_silhouette = 0
max_silhouette = 0.0
num_with_max_calinski = 0
max_calinski = 0.0
num_with_min_davies = 0
min_davies = sys.float_info.max
range_n_clusters = range(3,100)#[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,21,22,23,24,25,26,27,28,29, 30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,60,70,80,90,97,100,200]
for num_clusters in range_n_clusters:
    kmeans = KMeans(n_clusters=num_clusters, max_iter=10000, random_state = 42)
    kmeans.fit(node_embeddings)

    # cluster labels
    cluster_labels = kmeans.labels_

    # scores
    silhouette_avg = silhouette_score(node_embeddings, cluster_labels) # Need to be maximized
    ch_index = calinski_harabasz_score(node_embeddings, cluster_labels) # Need to be maximized
    db_index = davies_bouldin_score(node_embeddings, cluster_labels) # Need to be minimized
    inertia = kmeans.inertia_ # Need to be minimized
    savg.append(silhouette_avg * 10000)
    chi.append(ch_index * 10)
    dbi.append(db_index * 10000)
    ssd.append(inertia)# within cluster sum of squares
    print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_clusters, silhouette_avg, ch_index, db_index, inertia))

    if silhouette_avg > max_silhouette:
        max_silhouette = silhouette_avg
        num_with_max_silhouette = num_clusters
    if ch_index > max_calinski:
        max_calinski = ch_index
        num_with_max_calinski = num_clusters
    if db_index < min_davies:
        min_davies = db_index
        num_with_min_davies = num_clusters
print("The number of clusters with the highest silhouette score is {0}".format(num_with_max_silhouette))
print("The highest silhouette score is {0}".format(max_silhouette))
print("The number of clusters with the highest calinski-harabasz index is {0}".format(num_with_max_calinski))
print("The highest calinski-harabasz index is {0}".format(max_calinski))
print("The number of clusters with the lowest davies_bouldin_score is {0}".format(num_with_min_davies))
print("The lowest davies_bouldin_score is {0}".format(min_davies))

plt.plot(range_n_clusters, ssd, '*-' ,color = 'b', label = 'Inertia')
plt.plot(range_n_clusters, savg, '*-',color = 'r', label = 'Silhouette')
plt.plot(range_n_clusters, chi, '*-',color = 'g', label = 'Calinski-Harabasz')
plt.plot(range_n_clusters, dbi, '*-',color = 'y', label = 'Davies-Bouldin')
plt.vlines(x = num_with_max_silhouette, ymin = 0, ymax = 30000, color = 'r', linestyles = 'dashed')
plt.vlines(x = num_with_max_calinski, ymin = 0, ymax = 30000, color = 'g', linestyles = 'dashed')
plt.vlines(x = num_with_min_davies, ymin = 0, ymax = 30000, color = 'y', linestyles = 'dashed')
plt.xlabel('Number of clusters')
plt.legend()
plt.show()
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=3, the silhouette score is 0.17011108994483948, the calinski-harabasz index is 583.1351505026239, the davies_bouldin_score is 2.1611745340169257, the inerta is 26248.80859375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=4, the silhouette score is 0.2145594358444214, the calinski-harabasz index is 613.5570480135196, the davies_bouldin_score is 1.9887644063667955, the inerta is 23234.71484375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=5, the silhouette score is 0.25184446573257446, the calinski-harabasz index is 628.5569911020552, the davies_bouldin_score is 1.644948292839978, the inerta is 20843.162109375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=6, the silhouette score is 0.2783394455909729, the calinski-harabasz index is 620.651851489035, the davies_bouldin_score is 1.5036712501309386, the inerta is 19120.927734375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=7, the silhouette score is 0.2829688489437103, the calinski-harabasz index is 622.9708300218514, the davies_bouldin_score is 1.4847878797468395, the inerta is 17557.421875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=8, the silhouette score is 0.25994405150413513, the calinski-harabasz index is 585.7025329874248, the davies_bouldin_score is 1.5900188397794393, the inerta is 16773.53515625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=9, the silhouette score is 0.24897019565105438, the calinski-harabasz index is 556.0183860838634, the davies_bouldin_score is 1.6270392818717203, the inerta is 16082.56640625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=10, the silhouette score is 0.25444504618644714, the calinski-harabasz index is 525.7846939633145, the davies_bouldin_score is 1.6017622069090791, the inerta is 15559.359375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=11, the silhouette score is 0.23563791811466217, the calinski-harabasz index is 503.89215099256353, the davies_bouldin_score is 1.6197269874402949, the inerta is 15030.7490234375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=12, the silhouette score is 0.23878100514411926, the calinski-harabasz index is 487.3549952652167, the davies_bouldin_score is 1.65840413281091, the inerta is 14513.2392578125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=13, the silhouette score is 0.22274646162986755, the calinski-harabasz index is 471.96781195874917, the davies_bouldin_score is 1.7120365260383585, the inerta is 14057.845703125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=14, the silhouette score is 0.2511942982673645, the calinski-harabasz index is 456.1079325233212, the davies_bouldin_score is 1.5873523753421632, the inerta is 13680.50390625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=15, the silhouette score is 0.22999423742294312, the calinski-harabasz index is 438.1585674649111, the davies_bouldin_score is 1.7284697541231682, the inerta is 13402.67578125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=16, the silhouette score is 0.23048485815525055, the calinski-harabasz index is 416.20050818280026, the davies_bouldin_score is 1.680728304618665, the inerta is 13258.66015625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=17, the silhouette score is 0.21854735910892487, the calinski-harabasz index is 402.06328521233985, the davies_bouldin_score is 1.8805576543019473, the inerta is 13015.7333984375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=18, the silhouette score is 0.22212155163288116, the calinski-harabasz index is 393.6924864300797, the davies_bouldin_score is 1.8508736101672794, the inerta is 12698.2236328125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=19, the silhouette score is 0.21699166297912598, the calinski-harabasz index is 382.0669549691108, the davies_bouldin_score is 1.9793519946193603, the inerta is 12481.37890625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=20, the silhouette score is 0.25069037079811096, the calinski-harabasz index is 368.2377973138852, the davies_bouldin_score is 1.8074821398834953, the inerta is 12344.25
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=21, the silhouette score is 0.23280957341194153, the calinski-harabasz index is 364.3589403004538, the davies_bouldin_score is 1.973518925600636, the inerta is 12024.9736328125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=22, the silhouette score is 0.2448502480983734, the calinski-harabasz index is 357.47852684278, the davies_bouldin_score is 1.727813281567986, the inerta is 11793.654296875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=23, the silhouette score is 0.2401302009820938, the calinski-harabasz index is 349.4896095634723, the davies_bouldin_score is 1.9441110666532795, the inerta is 11608.6611328125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=24, the silhouette score is 0.25474053621292114, the calinski-harabasz index is 336.41091222292715, the davies_bouldin_score is 1.7597804895663778, the inerta is 11558.689453125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=25, the silhouette score is 0.22940680384635925, the calinski-harabasz index is 332.2007060707051, the davies_bouldin_score is 1.8772313710182287, the inerta is 11329.875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=26, the silhouette score is 0.24221503734588623, the calinski-harabasz index is 318.2520464627871, the davies_bouldin_score is 2.0234774836911806, the inerta is 11343.626953125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=27, the silhouette score is 0.24117052555084229, the calinski-harabasz index is 315.57099957818843, the davies_bouldin_score is 1.9223167053685115, the inerta is 11111.00390625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=28, the silhouette score is 0.23848818242549896, the calinski-harabasz index is 307.72514589826307, the davies_bouldin_score is 1.9314046941262841, the inerta is 11015.6064453125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=29, the silhouette score is 0.22861342132091522, the calinski-harabasz index is 301.0465570565616, the davies_bouldin_score is 1.9982892139718678, the inerta is 10906.853515625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=30, the silhouette score is 0.2332196831703186, the calinski-harabasz index is 292.2737799562908, the davies_bouldin_score is 1.9424461871291752, the inerta is 10864.2724609375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=31, the silhouette score is 0.21966542303562164, the calinski-harabasz index is 284.3016961050027, the davies_bouldin_score is 1.8842592112263516, the inerta is 10816.419921875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=32, the silhouette score is 0.24100542068481445, the calinski-harabasz index is 278.1585911425354, the davies_bouldin_score is 1.82873729871284, the inerta is 10734.2158203125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=33, the silhouette score is 0.25067925453186035, the calinski-harabasz index is 273.8323357561058, the davies_bouldin_score is 1.7883477146389584, the inerta is 10614.951171875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=34, the silhouette score is 0.23410329222679138, the calinski-harabasz index is 266.7297765092404, the davies_bouldin_score is 1.9339866193368531, the inerta is 10580.4365234375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=35, the silhouette score is 0.21184854209423065, the calinski-harabasz index is 263.82317396293917, the davies_bouldin_score is 2.0252619666080385, the inerta is 10441.71875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=36, the silhouette score is 0.22158759832382202, the calinski-harabasz index is 259.7594212677506, the davies_bouldin_score is 1.9108679819219365, the inerta is 10342.97265625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=37, the silhouette score is 0.20228411257266998, the calinski-harabasz index is 255.84021989452305, the davies_bouldin_score is 1.9301993510415498, the inerta is 10248.296875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=38, the silhouette score is 0.23856310546398163, the calinski-harabasz index is 255.1297446662627, the davies_bouldin_score is 1.7913955799052872, the inerta is 10071.525390625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=39, the silhouette score is 0.23383131623268127, the calinski-harabasz index is 249.0858534478384, the davies_bouldin_score is 1.9738737299004645, the inerta is 10050.697265625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=40, the silhouette score is 0.23392672836780548, the calinski-harabasz index is 244.00775440618474, the davies_bouldin_score is 1.9002744478514373, the inerta is 10010.990234375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=41, the silhouette score is 0.22811299562454224, the calinski-harabasz index is 241.9530900834981, the davies_bouldin_score is 1.8890700505539253, the inerta is 9890.7900390625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=42, the silhouette score is 0.23780424892902374, the calinski-harabasz index is 238.70777014971395, the davies_bouldin_score is 1.7754441152534297, the inerta is 9810.91796875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=43, the silhouette score is 0.21402694284915924, the calinski-harabasz index is 232.28242877690263, the davies_bouldin_score is 1.8880994021337019, the inerta is 9831.39453125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=44, the silhouette score is 0.22322946786880493, the calinski-harabasz index is 232.90438052460033, the davies_bouldin_score is 1.8612408736420625, the inerta is 9647.9111328125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=45, the silhouette score is 0.23511837422847748, the calinski-harabasz index is 227.7912313170253, the davies_bouldin_score is 1.9030649627371974, the inerta is 9640.7373046875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=46, the silhouette score is 0.20027217268943787, the calinski-harabasz index is 223.22004679635026, the davies_bouldin_score is 1.9385966673763746, the inerta is 9623.8408203125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=47, the silhouette score is 0.2158368080854416, the calinski-harabasz index is 220.7985465047679, the davies_bouldin_score is 1.8042233307859463, the inerta is 9546.06640625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=48, the silhouette score is 0.22652378678321838, the calinski-harabasz index is 220.99174626764716, the davies_bouldin_score is 1.9223420764325374, the inerta is 9391.7373046875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=49, the silhouette score is 0.2313692718744278, the calinski-harabasz index is 217.66854382952212, the davies_bouldin_score is 1.8309878327279763, the inerta is 9350.0625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=50, the silhouette score is 0.21045777201652527, the calinski-harabasz index is 216.05385726310826, the davies_bouldin_score is 1.8911580450271321, the inerta is 9259.50390625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=51, the silhouette score is 0.2138415277004242, the calinski-harabasz index is 212.2083298098939, the davies_bouldin_score is 1.9873553963862112, the inerta is 9242.732421875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=52, the silhouette score is 0.2185862958431244, the calinski-harabasz index is 210.6480421531277, the davies_bouldin_score is 1.9358073382366636, the inerta is 9157.83984375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=53, the silhouette score is 0.2319064885377884, the calinski-harabasz index is 209.87763458777752, the davies_bouldin_score is 1.8514018667861112, the inerta is 9051.337890625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=54, the silhouette score is 0.2199559509754181, the calinski-harabasz index is 204.66290337704234, the davies_bouldin_score is 1.9447082670672116, the inerta is 9090.25
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=55, the silhouette score is 0.2151992917060852, the calinski-harabasz index is 201.8224452794232, the davies_bouldin_score is 1.9080891240772822, the inerta is 9057.26953125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=56, the silhouette score is 0.24683570861816406, the calinski-harabasz index is 202.43561465205414, the davies_bouldin_score is 1.8707342444373867, the inerta is 8914.5048828125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=57, the silhouette score is 0.21838249266147614, the calinski-harabasz index is 200.99536795770933, the davies_bouldin_score is 1.8558865898053742, the inerta is 8841.625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=58, the silhouette score is 0.21352186799049377, the calinski-harabasz index is 196.42463595516236, the davies_bouldin_score is 1.9681528263965584, the inerta is 8874.658203125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=59, the silhouette score is 0.22273971140384674, the calinski-harabasz index is 196.45552809149817, the davies_bouldin_score is 1.882644577236323, the inerta is 8758.615234375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=60, the silhouette score is 0.2155689299106598, the calinski-harabasz index is 193.5441813659394, the davies_bouldin_score is 1.7929651094479908, the inerta is 8742.9453125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=61, the silhouette score is 0.21804241836071014, the calinski-harabasz index is 192.76007370199682, the davies_bouldin_score is 1.784852413350052, the inerta is 8658.931640625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=62, the silhouette score is 0.21954703330993652, the calinski-harabasz index is 189.92980959129432, the davies_bouldin_score is 1.9184261109587313, the inerta is 8646.119140625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=63, the silhouette score is 0.21549713611602783, the calinski-harabasz index is 189.74735430179504, the davies_bouldin_score is 1.9872638579822617, the inerta is 8546.41015625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=64, the silhouette score is 0.19894163310527802, the calinski-harabasz index is 184.52485965590193, the davies_bouldin_score is 1.9430188453358168, the inerta is 8621.0859375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=65, the silhouette score is 0.238372340798378, the calinski-harabasz index is 185.28353220841566, the davies_bouldin_score is 1.808513137915609, the inerta is 8492.5732421875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=66, the silhouette score is 0.22289854288101196, the calinski-harabasz index is 183.34940159683623, the davies_bouldin_score is 1.8970419909291547, the inerta is 8459.1484375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=67, the silhouette score is 0.22052738070487976, the calinski-harabasz index is 180.54679379643625, the davies_bouldin_score is 1.9404808485757556, the inerta is 8458.41015625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=68, the silhouette score is 0.20410843193531036, the calinski-harabasz index is 178.85553604686874, the davies_bouldin_score is 1.9786102455771608, the inerta is 8421.1767578125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=69, the silhouette score is 0.21014702320098877, the calinski-harabasz index is 181.1231545275125, the davies_bouldin_score is 1.970644115296423, the inerta is 8247.40625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=70, the silhouette score is 0.22094666957855225, the calinski-harabasz index is 176.37519487668956, the davies_bouldin_score is 1.8901179067556544, the inerta is 8320.685546875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=71, the silhouette score is 0.2038545161485672, the calinski-harabasz index is 174.32673667571495, the davies_bouldin_score is 1.9215958398762025, the inerta is 8302.1318359375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=72, the silhouette score is 0.2198411077260971, the calinski-harabasz index is 176.8308781012357, the davies_bouldin_score is 1.8331073183895923, the inerta is 8123.6513671875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=73, the silhouette score is 0.21409890055656433, the calinski-harabasz index is 171.56488974996208, the davies_bouldin_score is 1.8420823537571591, the inerta is 8222.794921875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=74, the silhouette score is 0.2191924899816513, the calinski-harabasz index is 171.85507027440815, the davies_bouldin_score is 1.9237867067110257, the inerta is 8125.2421875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=75, the silhouette score is 0.22129344940185547, the calinski-harabasz index is 172.57026053104184, the davies_bouldin_score is 1.8373002909605756, the inerta is 8014.5673828125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=76, the silhouette score is 0.2172539234161377, the calinski-harabasz index is 169.60900992935404, the davies_bouldin_score is 1.890571156618296, the inerta is 8036.8115234375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=77, the silhouette score is 0.22235894203186035, the calinski-harabasz index is 169.0299178346617, the davies_bouldin_score is 1.8583403306247837, the inerta is 7975.220703125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=78, the silhouette score is 0.2181737869977951, the calinski-harabasz index is 166.58270670735854, the davies_bouldin_score is 1.86456951434335, the inerta is 7982.89404296875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=79, the silhouette score is 0.2124244123697281, the calinski-harabasz index is 164.06022895645287, the davies_bouldin_score is 1.9153471630350556, the inerta is 7995.724609375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=80, the silhouette score is 0.22492095828056335, the calinski-harabasz index is 163.44821990076366, the davies_bouldin_score is 1.8425198584024343, the inerta is 7939.357421875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=81, the silhouette score is 0.2125013768672943, the calinski-harabasz index is 163.64921592239114, the davies_bouldin_score is 1.8905863030429568, the inerta is 7854.2412109375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=82, the silhouette score is 0.2159430831670761, the calinski-harabasz index is 160.63536040021944, the davies_bouldin_score is 1.9330474264704867, the inerta is 7889.95849609375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=83, the silhouette score is 0.21340353786945343, the calinski-harabasz index is 160.22716996306147, the davies_bouldin_score is 1.912766163030128, the inerta is 7829.7490234375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=84, the silhouette score is 0.21381539106369019, the calinski-harabasz index is 159.4134948313465, the davies_bouldin_score is 1.9167337190215015, the inerta is 7786.0078125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=85, the silhouette score is 0.21210192143917084, the calinski-harabasz index is 157.64465903760916, the davies_bouldin_score is 1.932665064291366, the inerta is 7779.587890625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=86, the silhouette score is 0.22754579782485962, the calinski-harabasz index is 158.74008619913397, the davies_bouldin_score is 1.8301141073106715, the inerta is 7666.275390625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=87, the silhouette score is 0.20805111527442932, the calinski-harabasz index is 155.47023926854573, the davies_bouldin_score is 1.9591386605611256, the inerta is 7718.9609375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=88, the silhouette score is 0.20936530828475952, the calinski-harabasz index is 154.57163107614792, the davies_bouldin_score is 1.9089475261331053, the inerta is 7683.17578125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=89, the silhouette score is 0.21783092617988586, the calinski-harabasz index is 154.86765583949295, the davies_bouldin_score is 1.942128941074989, the inerta is 7602.7392578125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=90, the silhouette score is 0.21620985865592957, the calinski-harabasz index is 154.10219187316218, the davies_bouldin_score is 1.8614370056782752, the inerta is 7563.9169921875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=91, the silhouette score is 0.20700974762439728, the calinski-harabasz index is 150.96366382559805, the davies_bouldin_score is 1.9279986653413692, the inerta is 7617.79638671875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=92, the silhouette score is 0.21005037426948547, the calinski-harabasz index is 151.69591319384958, the davies_bouldin_score is 1.9319007192112492, the inerta is 7522.9404296875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=93, the silhouette score is 0.21680745482444763, the calinski-harabasz index is 151.1999332266769, the davies_bouldin_score is 1.8736850607576572, the inerta is 7476.77392578125
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=94, the silhouette score is 0.2105560302734375, the calinski-harabasz index is 149.68864467945056, the davies_bouldin_score is 1.887009282081024, the inerta is 7470.8466796875
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=95, the silhouette score is 0.21549828350543976, the calinski-harabasz index is 149.6497888109328, the davies_bouldin_score is 1.8998771230429647, the inerta is 7408.80859375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=96, the silhouette score is 0.21237456798553467, the calinski-harabasz index is 147.90526374331253, the davies_bouldin_score is 1.842228666963318, the inerta is 7413.9677734375
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=97, the silhouette score is 0.21420477330684662, the calinski-harabasz index is 146.76124863577678, the davies_bouldin_score is 1.8196923877693252, the inerta is 7396.8369140625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=98, the silhouette score is 0.2071237713098526, the calinski-harabasz index is 145.5609562792029, the davies_bouldin_score is 1.863309129745238, the inerta is 7382.947265625
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=99, the silhouette score is 0.21147918701171875, the calinski-harabasz index is 145.4119944145983, the davies_bouldin_score is 1.8767643933472802, the inerta is 7328.34912109375
The number of clusters with the highest silhouette score is 7
The highest silhouette score is 0.2829688489437103
The number of clusters with the highest calinski-harabasz index is 5
The highest calinski-harabasz index is 628.5569911020552
The number of clusters with the lowest davies_bouldin_score is 7
The lowest davies_bouldin_score is 1.4847878797468395
No description has been provided for this image
In [ ]:
import seaborn as sns
from sklearn.cluster import KMeans
from sklearn.metrics import silhouette_score, calinski_harabasz_score, davies_bouldin_score

n = 7

kmeans = KMeans(n_clusters=n, max_iter=10000, random_state=42)
kmeans.fit(node_embeddings)

# Get cluster labels
cluster_labels = kmeans.labels_

colors = plt.cm.rainbow(np.linspace(0, 1, len(set(kmeans.labels_))))
color_map = {cluster: color for cluster, color in zip(range(0, len(set(kmeans.labels_))), colors)}

unique_labels, label_counts = np.unique(kmeans.labels_, return_counts=True)

num_clusters = len(unique_labels)
silhouette_avg = silhouette_score(node_embeddings, kmeans.labels_)
ch_index = calinski_harabasz_score(node_embeddings, kmeans.labels_)
db_index = davies_bouldin_score(node_embeddings, kmeans.labels_)
inertia = kmeans.inertia_
print("For n_clusters={0}, the silhouette score is {1}, the calinski-harabasz index is {2}, the davies_bouldin_score is {3}, the inerta is {4}".format(num_clusters, silhouette_avg, ch_index, db_index, inertia))

#cluster_metrics_df.loc[len(cluster_metrics_df)] = ["KMeans", n, silhouette_avg, ch_index, db_index]

#sns.histplot(data=X_pca_df, x='KMeans_cluster_labels_'+str(n), kde=True)
sns.barplot(x=unique_labels, y=label_counts, palette=[color_map[label] for label in unique_labels])
plt.show()
/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning
  warnings.warn(
For n_clusters=7, the silhouette score is 0.2829688489437103, the calinski-harabasz index is 622.9708300218514, the davies_bouldin_score is 1.4847878797468395, the inerta is 17557.421875
<ipython-input-15-c271b28223e3>:28: FutureWarning: 

Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `x` variable to `hue` and set `legend=False` for the same effect.

  sns.barplot(x=unique_labels, y=label_counts, palette=[color_map[label] for label in unique_labels])
No description has been provided for this image
In [ ]:
# Set node positions using a spring layout
pos = nx.spring_layout(nx_graph, seed=42)

plt.figure(figsize=(10, 10))
#nx.draw_networkx(nx_graph, pos, node_size=10, node_color = [color_map[label] if label != -1 else 'black' for label in kmeans.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1, labels = colors)
nx.draw_networkx(nx_graph, pos, node_size=10, node_color = [color_map[label] for label in kmeans.labels_], alpha = 0.5, with_labels = False, edge_color='gray', width=1)
#nx.draw_networkx(nx_graph, pos, node_size=10, node_color = colors, alpha = 0.5, with_labels = False, edge_color='gray', width=1)
#nx.draw_networkx(nx_graph, pos, nodelist = outlier_nodes, node_size=10, node_color = 'black', alpha = 0.5, with_labels = False, edge_color='gray', width=1)
plt.axis('off')
plt.title("Facebook Combined Graph with KMeans clustering")

plt.show()
plt.savefig(prefix_path + "KMeans_facebook_combined_graph.png")
No description has been provided for this image
<Figure size 640x480 with 0 Axes>

DBScan

In [ ]:
# Perform grid search
grid_search = GridSearchCV(estimator=dbscan, param_grid=param_grid, scoring=silhouette_scorer, cv=5)
grid_search.fit(node_embeddings)

# Get the best hyperparameters
best_params = grid_search.best_params_
best_estimator = grid_search.best_estimator_
best_score = grid_search.best_score_
#error_score = grid_search.score(X_pca)

print("Best Parameters:", best_params)
print("Best CV Silhoutte Score:", best_score)
#print("Best CV Error Score:", error_score)
print("Best Estimator:", best_estimator)
Streaming output truncated to the last 5000 lines.
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
Best Parameters: {'eps': 2.5, 'min_samples': 60}
Best CV Silhoutte Score: 0.2517156764864922
Best Estimator: DBSCAN(eps=2.5, min_samples=60)
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py:778: UserWarning: Scoring failed. The score on this train-test partition for these parameters will be set to nan. Details: 
Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_validation.py", line 765, in _score
    scores = scorer(estimator, X_test)
  File "<ipython-input-17-4988404dc91a>", line 21, in silhouette_scorer
    return silhouette_score(X, labels)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 117, in silhouette_score
    return np.mean(silhouette_samples(X, labels, metric=metric, **kwds))
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 231, in silhouette_samples
    check_number_of_labels(len(le.classes_), n_samples)
  File "/usr/local/lib/python3.10/dist-packages/sklearn/metrics/cluster/_unsupervised.py", line 33, in check_number_of_labels
    raise ValueError(
ValueError: Number of labels is 1. Valid values are 2 to n_samples - 1 (inclusive)

  warnings.warn(
/usr/local/lib/python3.10/dist-packages/sklearn/model_selection/_search.py:952: UserWarning: One or more of the test scores are non-finite: [        nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan -0.1127513  -0.08811028
         nan         nan         nan         nan         nan         nan
         nan         nan         nan  0.16220273  0.11206603  0.02968124
  0.03932004  0.05128457  0.04025448  0.0614031          nan         nan
         nan         nan  0.14182881  0.19576529  0.22100604  0.20357552
  0.18145681  0.14523021  0.13694767  0.1095339   0.09301846  0.07872593
         nan         nan  0.21938328  0.21445748  0.24599938  0.24436757
  0.23874604  0.24345309  0.25171568  0.24473435  0.24277714  0.22723368
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan
         nan         nan         nan         nan         nan         nan]
  warnings.warn(
In [ ]:
e = 2.5
m = 60
In [ ]:
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(node_embeddings)
n = dbscan.labels_.max() + 1
n
Out[ ]:
2