On the Maximal Local Disparity of Fairness-Aware Classifiers

Abstract

Fairness has become a crucial aspect in the development of trustworthy machine learning algorithms. Current fairness metrics to measure the violation of demographic parity have the following drawbacks: (i) the *average difference* of model predictions on two groups cannot reflect their *distribution disparity*, and (ii) the *overall* calculation along all possible predictions conceals the *extreme local disparity* at or around certain predictions. In this work, we propose a novel fairness metric called **M**aximal **C**umulative ratio **D**isparity along varying **P**redictions' neighborhood (MCDP), for measuring the maximal local disparity of the fairness-aware classifiers. To accurately and efficiently calculate the MCDP, we develop a provably exact and an approximate calculation algorithm that greatly reduces the computational complexity with low estimation error. We further propose a bi-level optimization algorithm using a differentiable approximation of the MCDP for improving the algorithmic fairness. Extensive experiments on both tabular and image datasets validate that our fair training algorithm can achieve superior fairness-accuracy trade-offs.