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As learning machines increase their influence on decisions concerning human lives, analyzing their fairness properties becomes a subject of central importance. Yet, our best tools for measuring the fairness of learning systems are rigid…

Machine Learning · Statistics 2022-07-21 David Lopez-Paz , Diane Bouchacourt , Levent Sagun , Nicolas Usunier

Fair classification is a critical challenge that has gained increasing importance due to international regulations and its growing use in high-stakes decision-making settings. Existing methods often rely on adversarial learning or…

Machine Learning · Computer Science 2025-10-14 Alberto Sinigaglia , Davide Sartor , Marina Ceccon , Gian Antonio Susto

It is of critical importance to be aware of the historical discrimination embedded in the data and to consider a fairness measure to reduce bias throughout the predictive modeling pipeline. Given various notions of fairness defined in the…

Machine Learning · Computer Science 2023-01-02 Hadis Anahideh , Nazanin Nezami , Abolfazl Asudeh

With the rapid growth in language processing applications, fairness has emerged as an important consideration in data-driven solutions. Although various fairness definitions have been explored in the recent literature, there is lack of…

Machine Learning · Computer Science 2022-03-17 Satyapriya Krishna , Rahul Gupta , Apurv Verma , Jwala Dhamala , Yada Pruksachatkun , Kai-Wei Chang

We propose a new family of fairness definitions for classification problems that combine some of the best properties of both statistical and individual notions of fairness. We posit not only a distribution over individuals, but also a…

Machine Learning · Computer Science 2019-12-18 Michael Kearns , Aaron Roth , Saeed Sharifi-Malvajerdi

Machine-learned systems are in widespread use for making decisions about humans, and it is important that they are fair, i.e., not biased against individuals based on sensitive attributes. We present a general framework of runtime…

Machine Learning · Computer Science 2025-07-08 Thomas A. Henzinger , Mahyar Karimi , Konstantin Kueffner , Kaushik Mallik

This article is dedicated to the estimation of Wasserstein distances and Wasserstein costs between two distinct continuous distributions $F$ and $G$ on $\mathbb R$. The estimator is based on the order statistics of (possibly dependent)…

Statistics Theory · Mathematics 2017-10-31 Philippe Berthet , Jean-Claude Fort , Thierry Klein

Most work in algorithmic fairness to date has focused on discrete outcomes, such as deciding whether to grant someone a loan or not. In these classification settings, group fairness criteria such as independence, separation and sufficiency…

Machine Learning · Computer Science 2020-02-18 Daniel Steinberg , Alistair Reid , Simon O'Callaghan , Finnian Lattimore , Lachlan McCalman , Tiberio Caetano

Ensuring algorithmic fairness remains a significant challenge in machine learning, particularly as models are increasingly applied across diverse domains. While numerous fairness criteria exist, they often lack generalizability across…

Machine Learning · Computer Science 2025-11-04 Zhecheng Sheng , Jiawei Zhang , Enmao Diao

We propose a unifying framework for generalising the Wasserstein-1 metric to a discrepancy measure between nonnegative measures of different mass. This generalization inherits the convexity and computational efficiency from the…

Optimization and Control · Mathematics 2018-03-13 Bernhard Schmitzer , Benedikt Wirth

Group fairness metrics can detect when a deep learning model behaves differently for advantaged and disadvantaged groups, but even models that score well on these metrics can make blatantly unfair predictions. We present smooth prediction…

Machine Learning · Computer Science 2020-12-02 Ivoline C. Ngong , Krystal Maughan , Joseph P. Near

We study the weighted total variation distance between probability measures. Using Fourier-analytic tools, we present estimates in terms of Wasserstein distances between the respective probabilities, under appropriate smoothness and moment…

Probability · Mathematics 2025-06-23 Iván Ivkovic , Miklós Rásonyi

When using machine learning to aid decision-making, it is critical to ensure that an algorithmic decision is fair and does not discriminate against specific individuals/groups, particularly those from underprivileged populations. Existing…

Machine Learning · Computer Science 2024-11-20 Yifei Wang , Zhengyang Zhou , Liqin Wang , John Laurentiev , Peter Hou , Li Zhou , Pengyu Hong

Scoring systems, as a type of predictive model, have significant advantages in interpretability and transparency and facilitate quick decision-making. As such, scoring systems have been extensively used in a wide variety of industries such…

Machine Learning · Computer Science 2022-11-23 Yi Yang , Ying Wu , Mei Li , Xiangyu Chang , Yong Tan

As artificial intelligence plays an increasingly substantial role in decisions affecting humans and society, the accountability of automated decision systems has been receiving increasing attention from researchers and practitioners.…

Machine Learning · Computer Science 2023-07-04 Furkan Gursoy , Ioannis A. Kakadiaris

In this paper, we study statistical inference for the Wasserstein distance, which has attracted much attention and has been applied to various machine learning tasks. Several studies have been proposed in the literature, but almost all of…

Machine Learning · Statistics 2022-01-21 Vo Nguyen Le Duy , Ichiro Takeuchi

This paper introduces marginal fairness, a new individual fairness notion for equitable decision-making in the presence of protected attributes such as gender, race, and religion. This criterion ensures that decisions based on generalized…

Machine Learning · Statistics 2025-05-27 Fei Huang , Silvana M. Pesenti

We prove a sharp general inequality estimating the distance of two probability measures on a compact Lie group in the Wasserstein metric in terms of their Fourier transforms. We use a generalized form of the Wasserstein metric, related by…

Classical Analysis and ODEs · Mathematics 2021-03-12 Bence Borda

Fair top-$k$ selection, which ensures appropriate proportional representation of members from minority or historically disadvantaged groups among the top-$k$ selected candidates, has drawn significant attention. We study the problem of…

Data Structures and Algorithms · Computer Science 2026-03-31 Guangya Cai

Bayesian inference typically requires the computation of an approximation to the posterior distribution. An important requirement for an approximate Bayesian inference algorithm is to output high-accuracy posterior mean and uncertainty…

Statistics Theory · Mathematics 2018-10-03 Jonathan H. Huggins , Trevor Campbell , Mikołaj Kasprzak , Tamara Broderick