Benchmarking of Clustering Validity Measures Revisited

Fuente: arXiv
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Auteurs principaux: Simpson, Connor, Campello, Ricardo J. G. B., Stojanovski, Elizabeth
Format: Preprint
Publié: 2025
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author Simpson, Connor
Campello, Ricardo J. G. B.
Stojanovski, Elizabeth
author_facet Simpson, Connor
Campello, Ricardo J. G. B.
Stojanovski, Elizabeth
contents Validation plays a crucial role in the clustering process. Many different internal validity indexes exist for the purpose of determining the best clustering solution(s) from a given collection of candidates, e.g., as produced by different algorithms or different algorithm hyper-parameters. In this study, we present a comprehensive benchmark study of 26 internal validity indexes, which includes highly popular classic indexes as well as more recently developed ones. We adopted an enhanced revision of the methodology presented in Vendramin et al. (2010), developed here to address several shortcomings of this previous work. This overall new approach consists of three complementary custom-tailored evaluation sub-methodologies, each of which has been designed to assess specific aspects of an index's behaviour while preventing potential biases of the other sub-methodologies. Each sub-methodology features two complementary measures of performance, alongside mechanisms that allow for an in-depth investigation of more complex behaviours of the internal validity indexes under study. Additionally, a new collection of 16177 datasets has been produced, paired with eight widely-used clustering algorithms, for a wider applicability scope and representation of more diverse clustering scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05983
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Benchmarking of Clustering Validity Measures Revisited
Simpson, Connor
Campello, Ricardo J. G. B.
Stojanovski, Elizabeth
Machine Learning
Validation plays a crucial role in the clustering process. Many different internal validity indexes exist for the purpose of determining the best clustering solution(s) from a given collection of candidates, e.g., as produced by different algorithms or different algorithm hyper-parameters. In this study, we present a comprehensive benchmark study of 26 internal validity indexes, which includes highly popular classic indexes as well as more recently developed ones. We adopted an enhanced revision of the methodology presented in Vendramin et al. (2010), developed here to address several shortcomings of this previous work. This overall new approach consists of three complementary custom-tailored evaluation sub-methodologies, each of which has been designed to assess specific aspects of an index's behaviour while preventing potential biases of the other sub-methodologies. Each sub-methodology features two complementary measures of performance, alongside mechanisms that allow for an in-depth investigation of more complex behaviours of the internal validity indexes under study. Additionally, a new collection of 16177 datasets has been produced, paired with eight widely-used clustering algorithms, for a wider applicability scope and representation of more diverse clustering scenarios.
title Benchmarking of Clustering Validity Measures Revisited
topic Machine Learning
url https://arxiv.org/abs/2511.05983