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)
- 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.
- 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.
- 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:
- 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.
- 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.
- Cluster Coefficient
- Measure used in network analysis to quantify the degree to which nodes in a graph tend to cluster together
- 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.
cluster_metrics_df_formatted
| 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¶
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).
import networkx as nx
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import os
!pip install pycaret
! pip install g-stat
!pip install sklearn-som
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EDA¶
Plot Graph¶
nx_graph = nx.read_edgelist(prefix_path + 'facebook_combined.txt', create_using = nx.Graph(), nodetype = int)
# 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")
<Figure size 640x480 with 0 Axes>
Community Detection Algorithms¶
from networkx.algorithms import community
import matplotlib.pyplot as plt
import seaborn as sns
Evaluation criteria - Modularity¶
# 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.
metrics_df = pd.DataFrame(columns=['Algorithm', 'Number of Communities', 'Modularity'])
Clauset-Newman-Moore Algorithm¶
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
# 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()
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()
| Node | Community | |
|---|---|---|
| 0 | 1061 | 0 |
| 1 | 1239 | 0 |
| 2 | 1271 | 0 |
| 3 | 3313 | 0 |
| 4 | 1285 | 0 |
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
| Node | Community | |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 0 |
| 2 | 3 | 0 |
| 3 | 5 | 0 |
| 4 | 7 | 0 |
Louvain¶
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
| 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
# 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()
Kernighan Lin¶
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
| 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¶
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
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
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()
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:
- 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.
- 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¶
# 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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3696: 0.00023155890926209678, 3697: 0.00021693306092398913, 3698: 0.00024293596433756575, 3699: 8.809747928974578e-05, 3700: 0.00014775117038639675, 3701: 0.0002481705394674318, 3702: 0.0003472521975575135, 3703: 0.00017365993193109962, 3704: 5.843694107045329e-05, 3705: 0.00043785543285410603, 3706: 0.0002866703883076443, 3707: 0.00023752679605621, 3708: 0.00023859793067941844, 3709: 4.899249878961015e-05, 3710: 0.00031223517497823395, 3711: 0.0003262475260598138, 3712: 0.0001051489006040445, 3713: 0.0003083774179642774, 3714: 0.0002946467802631336, 3715: 0.00018289176917055014, 3716: 0.000163766741284433, 3717: 8.139116192571873e-05, 3718: 0.00029941884883435396, 3719: 0.00027771058751785964, 3720: 0.00022287993705360416, 3722: 0.00039197314263139, 3724: 0.000108604916829422, 3725: 0.00029806892051454975, 3726: 0.00019874760655517315, 3727: 0.00014764405716086412, 3728: 0.000334438706834623, 3729: 4.899249878961015e-05, 3730: 0.00026445207333916025, 3731: 0.0003671120703166113, 3732: 6.308760230288923e-05, 3733: 8.772389838707991e-05, 3734: 0.000448125763862853, 3735: 0.00020372439047646284, 3736: 0.00014002211557829382, 3737: 0.00036453078094330455, 3738: 0.0003651248462598846, 3739: 0.00024017430337509694, 3740: 0.0003298907903741631, 3742: 0.0001304716332199039, 3743: 0.00029806892051454975, 3744: 8.139116192571873e-05, 3745: 0.00014686630873983784, 3746: 8.535810324389811e-05, 3747: 0.0003167692215709602, 3748: 4.899249878961015e-05, 3749: 0.00014690247618279008, 3751: 0.00015310866487856453, 3752: 0.00024912943761678976, 3753: 0.0003028215897224185, 3754: 0.00012699892417732643, 3755: 0.00011009381753708086, 3757: 0.00026860537268106016, 3758: 0.0004954232921812444, 3759: 0.0002941254167409647, 3760: 0.00020055241610631127, 3761: 0.0002587680992621071, 3762: 0.00017875951408426833, 3763: 0.0001681476764019998, 3764: 0.0003535611571268493, 3765: 7.513253699643694e-05, 3766: 0.00016412791740111292, 3767: 0.00014814226085018486, 3768: 0.0002784512788119023, 3769: 0.00017758232332481445, 3770: 0.00014677830246939312, 3771: 0.00014604535282413414, 3772: 0.00013132724780220382, 3773: 0.00018659827075989414, 3774: 0.0002875878473295129, 3775: 0.0001670708624947958, 3776: 0.00028109002072563216, 3777: 0.00014281792706302547, 3778: 0.00018088718697967086, 3780: 0.00018773093144796316, 3781: 9.34919948972951e-05, 3782: 0.0003766055648432005, 3783: 0.00020322506063722917, 3784: 0.0001563860055703365, 3785: 0.00019606601443402638, 3786: 0.0002472143133578722, 3787: 0.00012909484461043444, 3788: 0.0001375289452725528, 3789: 0.00019887856134778693, 3790: 0.00040625774353418673, 3791: 0.0003170557465991791, 3792: 0.00019439125382323625, 3793: 0.000537246655465373, 3794: 0.00038424950416320253, 3795: 8.762933037540065e-05, 3796: 0.00013730845805834345, 3798: 4.899249878961015e-05, 3799: 0.00028729191863419515, 3800: 0.00043759971137923324, 3801: 9.129874499357537e-05, 3802: 0.00021149345025588332, 3803: 0.00026726426294634517, 3804: 0.00043942334928626255, 3805: 9.420738200447062e-05, 3806: 0.00014448925367111613, 3807: 7.026723858322403e-05, 3808: 6.8930993721856e-05, 3809: 0.0002534197406205263, 3810: 0.000389607619945882, 3811: 8.566389989117836e-05, 3812: 0.0001545425314774637, 3813: 0.00014775117038639675, 3814: 0.0001740397116463532, 3815: 0.00019265599980610202, 3816: 7.716518967432701e-05, 3817: 0.00014611539029409882, 3818: 0.0001780342470462451, 3819: 0.00021280708084590684, 3820: 4.899249878961015e-05, 3821: 0.00032958007023181217, 3822: 0.00033233280123101227, 3823: 0.00021195544180602476, 3824: 0.00044216225400416987, 3825: 0.00037801755662415846, 3826: 0.0003551647737690445, 3827: 0.0001300166229254391, 3828: 0.0002668304898296286, 3829: 0.00043424995981894253, 3831: 0.00026594128587306915, 3832: 0.00014071770459582453, 3833: 0.0003507254723022377, 3834: 0.0001122360035276979, 3835: 0.00030854312362491677, 3836: 0.0003386765771818495, 3837: 0.0002650665285362242, 3838: 0.0005467591412082398, 3839: 9.945379087685887e-05, 3840: 0.00017006558081013505, 3841: 0.00031918262866070487, 3842: 0.0003968171901960338, 3843: 0.0001237843179136852, 3844: 0.0001248167697905552, 3845: 0.00020082435663608183, 3846: 8.535810324389811e-05, 3847: 0.00022310980537717335, 3848: 0.00014104940120334593, 3849: 0.00012507400957268276, 3850: 0.0002583256129917855, 3852: 0.0002196373641705317, 3853: 4.899249878961015e-05, 3854: 6.398315980650711e-05, 3855: 0.00019373152395516465, 3856: 4.899249878961015e-05, 3857: 0.00018359638853035173, 3858: 0.00029493697299311396, 3859: 0.00010634486228982301, 3860: 0.00033415901391888395, 3862: 0.00024164564650749933, 3863: 0.00022927441872042304, 3864: 0.00014775117038639675, 3865: 7.995813253228579e-05, 3866: 0.0002347508378608612, 3867: 0.0003151396026073451, 3868: 0.00028286564811995986, 3869: 0.00035937435082085986, 3870: 0.00030173943635814496, 3871: 0.0001425146220627122, 3873: 0.00035473481464926883, 3874: 0.00022499058907300918, 3875: 7.030180199942762e-05, 3876: 0.00013297654525562216, 3878: 0.00014820771900937566, 3879: 6.398315980650711e-05, 3880: 0.00015216051479791128, 3881: 0.00022723928251863578, 3882: 8.343756797092906e-05, 3883: 0.00023239634391977106, 3884: 0.0003109508650558489, 3885: 7.488655760061946e-05, 3887: 0.0001251465368330839, 3888: 0.00016598553589941445, 3889: 0.000158870636676487, 3890: 9.543148882602012e-05, 3891: 0.000267397354282229, 3892: 0.00021110949180308408, 3893: 0.00011002618640083126, 3894: 0.00020149798833869203, 3895: 0.00018618425873603126, 3896: 0.0002448789399560659, 3897: 9.584566347329161e-05, 3898: 0.0002495887178908439, 3899: 0.00012988596981690313, 3900: 0.0003728338111968343, 3901: 0.0001520067336787837, 3902: 0.0003910109256033018, 3903: 0.00021770163947053048, 3904: 0.00014282001189329813, 3905: 0.00017676672401688038, 3906: 0.00047830925394958516, 3907: 0.0003135844045162219, 3908: 0.00012993041917037945, 3909: 0.0002560769716189564, 3910: 8.984639401949445e-05, 3911: 0.00014775117038639675, 3912: 0.0002388355994162924, 3913: 0.0001822242100872117, 3914: 0.00012631515324451815, 3915: 0.0002685749281147041, 3916: 0.000131907994946753, 3917: 0.0002404843758693073, 3918: 0.0005435546513824041, 3919: 0.00019096151410464152, 3920: 0.00024311385948575857, 3921: 0.00036834951276542823, 3922: 6.835218860835526e-05, 3923: 0.00016924518505774048, 3924: 0.0004383519516754312, 3925: 0.00011622869341800627, 3926: 0.00039181066137351344, 3927: 0.0003193852582266031, 3928: 6.516806478584636e-05, 3929: 0.00017567723002959778, 3930: 0.0004651476949017557, 3931: 0.00028647252842299917, 3932: 0.0001851494730231624, 3933: 0.0003252449689223507, 3934: 0.00012665130368852428, 3935: 4.899249878961015e-05, 3936: 0.00010350225238069794, 3937: 0.00018610123127929626, 3938: 0.000726601468756114, 3939: 0.0001066386160504247, 3940: 0.00013442717347752022, 3941: 0.0001175827112301002, 3942: 6.126980368661085e-05, 3944: 0.00015308734470591734, 3945: 0.0004024774488028448, 3946: 9.34919948972951e-05, 3947: 0.0003560437594378336, 3949: 0.0002625385788278003, 3950: 0.0002337328604373987, 3951: 0.00037978521951497146, 3952: 0.0001067611538676698, 3953: 9.354907506403329e-05, 3954: 0.000111237867402, 3955: 7.048686842537691e-05, 3956: 0.0003043243888113981, 3957: 0.0002782180493996354, 3958: 0.00013467880622172304, 3959: 5.971830001547999e-05, 3960: 0.00025565775996250407, 3963: 0.00014807143445855913, 3964: 0.00022673292519764023, 3965: 9.004062367041861e-05, 3966: 0.0004263985481794752, 3967: 0.0002406460281241239, 3968: 0.0004354048525910175, 3969: 0.0002802483112924496, 3970: 0.00010685540717664344, 3971: 0.00044171865694179704, 3972: 0.0002274605774474666, 3973: 0.0001168580631288116, 3974: 4.899249878961015e-05, 3975: 0.00023894007164522763, 3976: 0.00018291965651798738, 3977: 0.00010304010218819729, 3978: 7.916766014741023e-05, 3979: 0.00019314128320538026, 3981: 0.0002509388280261734, 3982: 0.00041626629042715155, 3983: 9.70715536863934e-05, 3984: 6.837293984426776e-05, 3985: 0.00020544665403375513, 3986: 0.0002891027493570553, 3987: 0.000119230055610259, 3988: 0.0002294949971842573, 3990: 0.00019059705964521065, 3991: 0.0001265661698702459, 3992: 0.00012533933786715835, 3993: 0.00020431410376590143, 3994: 0.0003373673358534653, 3995: 0.00028775520922264696, 3996: 0.00016882204528932695, 3997: 0.0003281298033065843, 3998: 0.0004337331851304984, 3999: 0.00017766334646375764, 4000: 0.0002996231842967884, 4001: 0.000119230055610259, 4002: 0.0002451110609066777, 4003: 0.0001696181341747366, 4004: 0.00031778059975441295, 4005: 0.000132423804792059, 4006: 0.00010102528006899561, 4007: 0.00019059705964521065, 4008: 6.837293984426776e-05, 4009: 0.000303595535667247, 4010: 6.837293984426776e-05, 4012: 0.000119230055610259, 4013: 0.00020708018458659932, 4014: 0.00036791355797996555, 4015: 6.837293984426776e-05, 4016: 0.00019059705964521065, 4017: 0.00030427652943941963, 4018: 0.00022295627965430965, 4019: 0.0002499399952609731, 4020: 0.0002700492563603438, 4021: 0.00033484921958822187, 4022: 6.837293984426776e-05, 4023: 0.000539819524918666, 4024: 6.837293984426776e-05, 4025: 0.00019059705964521065, 4026: 0.00028222422697950965, 4027: 0.0002691261965646986, 4028: 0.00010421749925373488, 4029: 0.000119230055610259, 4030: 0.0005541491718074534, 4032: 0.00010102528006899561, 4033: 0.00012393582217351765, 4034: 9.382776060909729e-05, 4035: 6.837293984426776e-05, 4036: 0.00010611456987554195, 4037: 0.00014840681459023689, 4038: 0.0002959196263598553}
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¶
shortest_path_lengths = dict(nx.all_pairs_shortest_path_length(nx_graph))
print(shortest_path_lengths)
IOPub data rate exceeded. The notebook server will temporarily stop sending output to the client in order to avoid crashing it. To change this limit, set the config variable `--NotebookApp.iopub_data_rate_limit`. 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.
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()
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()
# 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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4029: 2.7932145831215218e+51, 4030: 3.5631148810722284e+51, 4032: 2.8289747204400668e+51, 4033: 2.8309030971123372e+51, 4034: 2.8319131745834084e+51, 4035: 2.758915811191283e+51, 4036: 2.7936590362588113e+51, 4037: 2.9050766178966524e+51, 4038: 2.584119003258789e+52}
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¶
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¶
local_features_nodes = pd.read_csv(prefix_path + 'local_features_nodes_v3.csv')
local_features_nodes.dtypes
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
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¶
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.
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)
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.
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¶
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)
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
Correlation of Local features¶
plt.figure(figsize=(15,10))
sns.heatmap(local_features_nodes_t.corr(numeric_only=True),annot=True, cmap='coolwarm')
plt.show()
From the heatmap we can understand that certain features are highly correlated. We need to select only 1 among such groups.
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)
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()
Employ PCA to remove correlation and reduce dimension¶
pca = PCA(random_state=123)
pca.fit(local_features_nodes_filtered)
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.
PCA(random_state=123)
pca.explained_variance_ratio_
array([0.49568036, 0.25551552, 0.11718946, 0.05004677, 0.03433468,
0.0276272 , 0.01384347, 0.00576254])
var_cumu = np.cumsum(pca.explained_variance_ratio_)
var_cumu
array([0.49568036, 0.75119588, 0.86838533, 0.91843211, 0.95276679,
0.98039399, 0.99423746, 1. ])
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()
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¶
X_pca_df = pd.DataFrame(X_pca, columns = ['PC1', 'PC2','PC3', 'PC4', 'PC5'])
plt.figure(figsize=(15,10))
sns.heatmap(X_pca_df.corr(numeric_only=True),annot=True, cmap='coolwarm')
plt.show()
Decompose PCA to find contributing features¶
## 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
# 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
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¶
# 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
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.
# 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")
<Figure size 640x480 with 0 Axes>
# 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)
local_features_nodes_filtered_outliers = local_features_nodes_filtered.iloc[outlier_nodes]
print(local_features_nodes_filtered_outliers.shape)
(218, 8)
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)
! pip install pycaret
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!pip install --upgrade scikit-learn
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Clustering using Pycaret (KMeans with and without outliers)¶
# 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]
# 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]
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 Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from gap-stat) (1.25.2) Requirement already satisfied: pandas in /usr/local/lib/python3.10/dist-packages (from gap-stat) (2.0.3) Requirement already satisfied: scipy in /usr/local/lib/python3.10/dist-packages (from gap-stat) (1.11.4) Requirement already satisfied: python-dateutil>=2.8.2 in /usr/local/lib/python3.10/dist-packages (from pandas->gap-stat) (2.8.2) Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas->gap-stat) (2023.4) Requirement already satisfied: tzdata>=2022.1 in /usr/local/lib/python3.10/dist-packages (from pandas->gap-stat) (2024.1) Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.2->pandas->gap-stat) (1.16.0) 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.
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¶
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
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¶
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
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¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Best calinski-harabasz clustering¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Best Davies Bouldin clustering¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Agglomerative Clustering¶
Agglomerative with Ward Linkage¶
Hyper parameter tuning¶
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
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
Add blockquote
Cluster visualization and evaluation¶
Best silhoette & Davies Bouldin Index¶
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)}
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
# 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")
<Figure size 800x550 with 0 Axes>
Best Calinski Harbasz¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Best silhouette/Davies Bouldin with Outliers¶
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
# 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")
<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¶
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
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¶
n = 8
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)}
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
# 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")
<Figure size 800x550 with 0 Axes>
Best Calinski Harbasz¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Best Sillhouette/Davies Bouldin with outliers¶
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
# 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")
<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¶
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)
# 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)
# 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)
e = 3.0
m = 5
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
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
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)
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)
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,)
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¶
e = 3.0
m = 5
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(X_pca)
n = dbscan.labels_.max() + 1
n
10
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
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")
<Figure size 800x550 with 0 Axes>
Best Sillhoute index without outliers¶
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
# 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")
<Figure size 800x550 with 0 Axes>
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
# 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")
<Figure size 800x550 with 0 Axes>
Birch Clustering¶
Hyper parameter tuning¶
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¶
b = 2
t = 2.3
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
# 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")
<Figure size 800x550 with 0 Axes>
KMeans with Birch cluster centers as init¶
# 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
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
# 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")
<Figure size 800x550 with 0 Axes>
Fit Birch to pre-trained Kmeans cluster centers and then predict on original data¶
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
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
# 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")
<Figure size 800x550 with 0 Axes>
Gaussian Mixture Models¶
Hyper parameter tuning to find best number of components¶
# 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¶
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
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
# 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")
<Figure size 800x550 with 0 Axes>
Affinity Propogation¶
Cluster visualization adn evaluation¶
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]
For n_clusters=986, the silhouette score is 0.16426797679482721, the calinski-harabasz index is 164.99722404875328, the davies_bouldin_score is 0.4556762487347902
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
# 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")
<Figure size 800x550 with 0 Axes>
Self Organizing Map¶
!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¶
clusters = 5
som = SOM(m=4039, n=5, dim=5)
som.fit(X_pca_cleaned)
predictions = som.predict(X_pca_cleaned)
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
# 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")
<Figure size 800x550 with 0 Axes>
OPTIC¶
Hyper Parameter Tuning¶
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
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¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Best Davies Boudin Index Clustering¶
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
# 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")
<Figure size 800x550 with 0 Axes>
Conclusion¶
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
cluster_metrics_df_formatted = cluster_metrics_df.set_index('Algorithm', inplace = False)
cluster_metrics_df_formatted
| 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¶
! 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
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]
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¶
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
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])
# 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")
<Figure size 640x480 with 0 Axes>
DBScan¶
# 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(
e = 2.5
m = 60
dbscan = DBSCAN(eps = e, min_samples = m)
dbscan.fit(node_embeddings)
n = dbscan.labels_.max() + 1
n
2