arXiv Machine Learning By Marie Generali Lince, Vincent Divol, R\'emi Flamary, Solenne Gaucher, Patrick Loiseau

Geometry of Relaxed Fair Regression: A Unified Framework for Aware and Unaware Settings

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The paper introduces a unified framework for relaxed fair regression that applies to both aware and unaware settings. By modeling regression with a demographic parity penalty as an optimal transport problem, it characterizes optimal prediction functions under squared Wasserstein‑2 and Total Variation penalties, revealing distinct fairness philosophies. The authors also present FAUST, an efficient algorithm that consistently matches or surpasses state‑of‑the‑art baselines on real‑world benchmarks.

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