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Paper · arXiv

COVAriance-Induced Fairness Gap Penalty for Subgroup-Fair Clustering

Fair clustering aims to make cluster assignments independent of sensitive attributes, but this goal becomes challenging when multiple sensitive attributes jointly define many subgroups. In such settings, directly extending existing fair clustering algorithms is computationally expensive or numerically unstable, especially when the number of subgroups grows exponentially and some subgroups contain only a few instances. To address these challenges, we define a subgroup-fairness gap for clustering and derive a covariance-based surrogate that exactly matches this gap. We then introduce a continuous relaxation of the surrogate, enabling efficient gradient-based optimization and yielding our pr...

AuthorsKyungseon Lee, Hankyo Jeong, Kunwoong Kim et al.
Primary categorystat.ML
Published20 July 2026
Last updated at source20 July 2026
stat.MLcs.LG
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