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Implementation:Rapidsai Cuml Cluster Evaluation Metrics

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Knowledge Sources
Domains Machine_Learning, Clustering, Evaluation
Last Updated 2026-02-08 00:00 GMT

Overview

Concrete tool for evaluating clustering quality using GPU-accelerated metrics: KMeans score (negative inertia), adjusted Rand index, and silhouette score.

Description

Three primary evaluation methods for clustering results:

  • KMeans.score returns the negative sum of squared distances from each sample to its assigned cluster center (negative inertia). More negative values indicate worse clustering.
  • adjusted_rand_score computes the Adjusted Rand Index between two label assignments, measuring clustering similarity corrected for chance. Range [-1.0, 1.0] with 1.0 being perfect agreement.
  • silhouette_score measures how similar each sample is to its own cluster compared to other clusters. Range [-1.0, 1.0] with higher values indicating better-defined clusters.

Usage

Use `KMeans.score(X)` for within-cluster compactness, `adjusted_rand_score(labels_true, labels_pred)` when ground truth is available, and `silhouette_score(X, labels)` for unsupervised evaluation.

Code Reference

KMeans.score

Source Location

  • Repository: cuML
  • File: python/cuml/cuml/cluster/kmeans.pyx
  • Lines: 778-787

Signature

def score(self, X, y=None, sample_weight=None, *, convert_dtype=True):

adjusted_rand_score

Source Location

  • Repository: cuML
  • File: python/cuml/cuml/metrics/cluster/adjusted_rand_index.pyx
  • Lines: 22-56

Signature

def adjusted_rand_score(labels_true, labels_pred, convert_dtype=True):

silhouette_score

Source Location

  • Repository: cuML
  • File: python/cuml/cuml/metrics/cluster/silhouette_score.pyx
  • Lines: 42-100

Signature

def silhouette_score(X, labels, metric='euclidean', sil_scores=None, chunksize=None, convert_dtype=True):

Import

from cuml.metrics import adjusted_rand_score
from cuml.metrics.cluster import silhouette_score

I/O Contract

Inputs

Name Type Required Description
X array-like Yes (score, silhouette) Feature matrix (n_samples, n_features).
labels_true array-like Yes (ARI) Ground truth cluster labels.
labels_pred array-like Yes (ARI) Predicted cluster labels.
labels array-like Yes (silhouette) Cluster assignments for each sample.
metric str No (default 'euclidean') Distance metric for silhouette score.
chunksize int or None No Number of samples per batch for silhouette computation.

Outputs

Name Type Description
KMeans.score float Negative inertia (sum of squared distances to centers).
adjusted_rand_score float ARI value in [-1.0, 1.0]. 1.0 = perfect agreement.
silhouette_score float Mean silhouette coefficient in [-1.0, 1.0]. Higher = better separation.

Usage Examples

import cupy as cp
from cuml.cluster import KMeans
from cuml.metrics import adjusted_rand_score
from cuml.metrics.cluster import silhouette_score

X = cp.random.rand(5000, 20, dtype=cp.float32)
true_labels = cp.random.randint(0, 5, 5000)

# Fit and evaluate
kmeans = KMeans(n_clusters=5).fit(X)

# Negative inertia
score = kmeans.score(X)

# ARI against ground truth
ari = adjusted_rand_score(true_labels, kmeans.labels_)

# Silhouette score (unsupervised)
sil = silhouette_score(X, kmeans.labels_)

Related Pages

Implements Principle

Requires Environment

Uses Heuristic

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