2026-04-13T02:02:56Zhttps://recercat.cat/oai/request
oai:recercat.cat:2117/3492772026-02-07T09:10:00Zcom_2072_1033col_2072_452950
RECERCAT author Arratia Quesada, Argimiro Alejandro author Renedo Mirambell, Martí 2021-06-18 We provide a systematic approach to validate the results of clustering methods on weighted networks, in particular for the cases where the existence of a community structure is unknown. Our validation of clustering comprises a set of criteria for assessing their significance and stability. To test for cluster significance, we introduce a set of community scoring functions adapted to weighted networks, and systematically compare their values to those of a suitable null model. For this we propose a switching model to produce randomized graphs with weighted edges while maintaining the degree distribution constant. To test for cluster stability, we introduce a non parametric bootstrap method combined with similarity metrics derived from information theory and combinatorics. In order to assess the effectiveness of our clustering quality evaluation methods, we test them on synthetically generated weighted networks with a ground truth community structure of varying strength based on the stochastic block model construction. When applying the proposed methods to these synthetic ground truth networks’ clusters, as well as to other weighted networks with known community structure, these correctly identify the best performing algorithms, which suggests their adequacy for cases where the clustering structure is not known. We test our clustering validation methods on a varied collection of well known clustering algorithms applied to the synthetically generated networks and to several real world weighted networks. All our clustering validation methods are implemented in R, and will be released in the upcoming package clustAnalytics.Peer ReviewedPostprint (published version) https://creativecommons.org/licenses/by/4.0/ Open Access Attribution 4.0 International Àrees temàtiques de la UPC::Informàtica Cluster analysis Data mining Machine learning Clustering Weighted networks Significance Stability Randomized graph Bootstrap Mutual information Stochastic block model R Anàlisi de conglomerats Mineria de dades Aprenentatge automàtic Clustering assessment in weighted networks Article