Doubly-Regressing Approach for Subgroup Fairness

Fuente: arXiv
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Hauptverfasser: Kim, Kunwoong, Lee, Kyungseon, Lee, Jihu, Yang, Dongyoon, Kim, Yongdai
Format: Preprint
Veröffentlicht: 2025
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author Kim, Kunwoong
Lee, Kyungseon
Lee, Jihu
Yang, Dongyoon
Kim, Yongdai
author_facet Kim, Kunwoong
Lee, Kyungseon
Lee, Jihu
Yang, Dongyoon
Kim, Yongdai
contents Algorithmic fairness is a socially crucial topic in real-world applications of AI. Among many notions of fairness, subgroup fairness is widely studied when multiple sensitive attributes (e.g., gender, race, age) are present. However, as the number of sensitive attributes grows, the number of subgroups increases accordingly, creating heavy computational burdens and data sparsity problem (subgroups with too small sizes). In this paper, we develop a novel learning algorithm for subgroup fairness which resolves these issues by focusing on subgroups with sufficient sample sizes as well as marginal fairness (fairness for each sensitive attribute). To this end, we formalize a notion of subgroup-subset fairness and introduce a corresponding distributional fairness measure called the supremum Integral Probability Metric (supIPM). Building on this formulation, we propose the Doubly Regressing Adversarial learning for subgroup Fairness (DRAF) algorithm, which reduces a surrogate fairness gap for supIPM with much less computation than directly reducing supIPM. Theoretically, we prove that the proposed surrogate fairness gap is an upper bound of supIPM. Empirically, we show that the DRAF algorithm outperforms baseline methods in benchmark datasets, specifically when the number of sensitive attributes is large so that many subgroups are very small.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21091
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Doubly-Regressing Approach for Subgroup Fairness
Kim, Kunwoong
Lee, Kyungseon
Lee, Jihu
Yang, Dongyoon
Kim, Yongdai
Machine Learning
Methodology
Algorithmic fairness is a socially crucial topic in real-world applications of AI. Among many notions of fairness, subgroup fairness is widely studied when multiple sensitive attributes (e.g., gender, race, age) are present. However, as the number of sensitive attributes grows, the number of subgroups increases accordingly, creating heavy computational burdens and data sparsity problem (subgroups with too small sizes). In this paper, we develop a novel learning algorithm for subgroup fairness which resolves these issues by focusing on subgroups with sufficient sample sizes as well as marginal fairness (fairness for each sensitive attribute). To this end, we formalize a notion of subgroup-subset fairness and introduce a corresponding distributional fairness measure called the supremum Integral Probability Metric (supIPM). Building on this formulation, we propose the Doubly Regressing Adversarial learning for subgroup Fairness (DRAF) algorithm, which reduces a surrogate fairness gap for supIPM with much less computation than directly reducing supIPM. Theoretically, we prove that the proposed surrogate fairness gap is an upper bound of supIPM. Empirically, we show that the DRAF algorithm outperforms baseline methods in benchmark datasets, specifically when the number of sensitive attributes is large so that many subgroups are very small.
title Doubly-Regressing Approach for Subgroup Fairness
topic Machine Learning
Methodology
url https://arxiv.org/abs/2510.21091