Obtaining Fairness using Optimal Transport Theory

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Paula Gordaliza, Eustasio Del Barrio, Gamboa Fabrice, Jean-Michel Loubes ;
Proceedings of the 36th International Conference on Machine Learning, PMLR 97:2357-2365, 2019.

Abstract

In the fair classification setup, we recast the links between fairness and predictability in terms of probability metrics. We analyze repair methods based on mapping conditional distributions to the Wasserstein barycenter. We propose a Random Repair which yields a tradeoff between minimal information loss and a certain amount of fairness.

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