Group Fairness Metrics for Community Detection Methods in Social Networks

Fuente: arXiv
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Autores principales: de Vink, Elze, Saxena, Akrati
Formato: Preprint
Publicado: 2024
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author de Vink, Elze
Saxena, Akrati
author_facet de Vink, Elze
Saxena, Akrati
contents Understanding community structure has played an essential role in explaining network evolution, as nodes join communities which connect further to form large-scale complex networks. In real-world networks, nodes are often organized into communities based on ethnicity, gender, race, or wealth, leading to structural biases and inequalities. Community detection (CD) methods use network structure and nodes' attributes to identify communities, and can produce biased outcomes if they fail to account for structural inequalities, especially affecting minority groups. In this work, we propose group fairness metrics ($Φ^{F*}_{p}$) to evaluate CD methods from a fairness perspective. We also conduct a comparative analysis of existing CD methods, focusing on the performance-fairness trade-off, to determine whether certain methods favor specific types of communities based on their size, density, or conductance. Our findings reveal that the trade-off varies significantly across methods, with no specific type of method consistently outperforming others. The proposed metrics and insights will help develop and evaluate fair and high performing CD methods.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05487
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Group Fairness Metrics for Community Detection Methods in Social Networks
de Vink, Elze
Saxena, Akrati
Social and Information Networks
Understanding community structure has played an essential role in explaining network evolution, as nodes join communities which connect further to form large-scale complex networks. In real-world networks, nodes are often organized into communities based on ethnicity, gender, race, or wealth, leading to structural biases and inequalities. Community detection (CD) methods use network structure and nodes' attributes to identify communities, and can produce biased outcomes if they fail to account for structural inequalities, especially affecting minority groups. In this work, we propose group fairness metrics ($Φ^{F*}_{p}$) to evaluate CD methods from a fairness perspective. We also conduct a comparative analysis of existing CD methods, focusing on the performance-fairness trade-off, to determine whether certain methods favor specific types of communities based on their size, density, or conductance. Our findings reveal that the trade-off varies significantly across methods, with no specific type of method consistently outperforming others. The proposed metrics and insights will help develop and evaluate fair and high performing CD methods.
title Group Fairness Metrics for Community Detection Methods in Social Networks
topic Social and Information Networks
url https://arxiv.org/abs/2410.05487