RT info:eu-repo/semantics/article T1 Attraction-repulsion clustering: a way of promoting diversity linked to demographic parity in fair clustering A1 Barrio Tellado, Eustasio del A1 Inouzhe Valdés, Hristo A1 Loubes, Jean-Michel K1 Diversity enhancing clustering K1 Demographic parity K1 Fair clustering K1 Hierarchical clustering K1 Kernel methods K1 Multidimensional scaling K1 12 Matemáticas AB We consider the problem of diversity enhancing clustering, i.e, developing clusteringmethods which produce clusters that favour diversity with respect to a set of pro-tected attributes such as race, sex, age, etc. In the context of fair clustering, diversityplays a major role when fairness is understood as demographic parity. To promotediversity, we introduce perturbations to the distance in the unprotected attributes thataccount for protected attributes in a way that resembles attraction-repulsion of chargedparticles in Physics. These perturbations are defined through dissimilarities with atractable interpretation. Cluster analysis based on attraction-repulsion dissimilaritiespenalizes homogeneity of the clusters with respect to the protected attributes and leadsto an improvement in diversity. An advantage of our approach, which falls into a pre-processing set-up, is its compatibility with a wide variety of clustering methods andwhit non-Euclidean data. We illustrate the use of our procedures with both syntheticand real data and provide discussion about the relation between diversity, fairness, andcluster structure. PB Springer SN 1862-5347 YR 2022 FD 2022 LK https://uvadoc.uva.es/handle/10324/57040 UL https://uvadoc.uva.es/handle/10324/57040 LA eng NO Advances in Data Analysis and Classification, 2022, NO Producción Científica DS UVaDOC RD 18-nov-2024