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arXiv 2005.13755stat.MLcs.LG
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Review of Mathematical frameworks for Fairness in Machine Learning

Institut de Mathématiques de Toulouse(图卢兹数学研究所);Université de Toulouse 3(图卢兹第三大学);Instituto de Matemáticas de la Universidad de Valladolid(巴利亚多利德大学数学研究所);Universidad de Valladolid(巴利亚多利德大学)

Eustasio del Barrio, Paula Gordaliza, Jean-Michel Loubes

英文摘要:

A review of the main fairness definitions and fair learning methodologies proposed in the literature over the last years is presented from a mathematical point of view. Following our independence-based approach, we consider how to build fair algorithms and the consequences on the degradation of their performance compared to the possibly unfair case. This corresponds to the price for fairness given by the criteria $\textit{statistical parity}$ or $\textit{equality of odds}$. Novel results giving the expressions of the optimal fair classifier and the optimal fair predictor (under a linear regression gaussian model) in the sense of $\textit{equality of odds}$ are presented.

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