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We discuss the main stages of development of the error calculation since the beginning of XIX-th century by insisting on what prefigures the use of Dirichlet forms and emphasizing the mathematical properties that make the use of Dirichlet…

History and Overview · Mathematics 2014-01-14 Nicolas Bouleau

Algorithmic fairness is typically studied from the perspective of predictions. Instead, here we investigate fairness from the perspective of recourse actions suggested to individuals to remedy an unfavourable classification. We propose two…

Machine Learning · Computer Science 2022-03-08 Julius von Kügelgen , Amir-Hossein Karimi , Umang Bhatt , Isabel Valera , Adrian Weller , Bernhard Schölkopf

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into $k$…

Computer Science and Game Theory · Computer Science 2025-03-17 Argyrios Deligkas , Eduard Eiben , Stavros D. Ioannidis , Dušan Knop , Šimon Schierreich

Behavioral experiments on the Ultimatum Game have shown that we human beings have remarkable preference in fair play, contradicting the predictions by the game theory. Most of the existing models seeking for explanations, however, strictly…

Populations and Evolution · Quantitative Biology 2022-12-07 Guozhong Zheng , Jiqiang Zhang , Rizhou Liang , Lin Ma , Li Chen

In recent years, the problem of addressing fairness in Machine Learning (ML) and automatic decision-making has attracted a lot of attention in the scientific communities dealing with Artificial Intelligence. A plethora of different…

The economics of smaller budgets and larger case numbers necessitates the use of AI in legal proceedings. We examine the concept of disparate impact and how biases in the training data lead to the search for fairer AI. This paper seeks to…

Computers and Society · Computer Science 2020-09-14 Lauren Boswell , Arjun Prakash

While there has been a flurry of research in algorithmic fairness, what is less recognized is that modern antidiscrimination law may prohibit the adoption of such techniques. We make three contributions. First, we discuss how such…

Computers and Society · Computer Science 2020-12-29 Daniel E. Ho , Alice Xiang

Fairness-aware learning aims at satisfying various fairness constraints in addition to the usual performance criteria via data-driven machine learning techniques. Most of the research in fairness-aware learning employs the setting of…

Machine Learning · Computer Science 2022-05-23 Pratik Gajane , Akrati Saxena , Maryam Tavakol , George Fletcher , Mykola Pechenizkiy

A distinction has been drawn in fair machine learning research between `group' and `individual' fairness measures. Many technical research papers assume that both are important, but conflicting, and propose ways to minimise the trade-offs…

Machine Learning · Computer Science 2019-12-17 Reuben Binns

This paper is devoted to the proof Gauss' divergence theorem in the framework of "ultrafunctions". They are a new kind of generalized functions, which have been introduced recently [2] and developed in [4], [5] and [6]. Their peculiarity is…

Analysis of PDEs · Mathematics 2015-03-10 Vieri Benci , Lorenzo Luperi Baglini

In this paper, we initiate the study of fair clustering that ensures distributional similarity among similar individuals. In response to improving fairness in machine learning, recent papers have investigated fairness in clustering…

Machine Learning · Computer Science 2020-06-24 Nihesh Anderson , Suman K. Bera , Syamantak Das , Yang Liu

Fiducial inference was introduced in the first half of the 20th century by Fisher (1935) as a means to get a posterior-like distribution for a parameter without having to arbitrarily define a prior. While the method originally fell out of…

Methodology · Statistics 2023-03-01 Alexander C. Murph , Jan Hannig , Jonathan P. Williams

Counterfactual fairness alleviates the discrimination between the model prediction toward an individual in the actual world (observational data) and that in counterfactual world (i.e., what if the individual belongs to other sensitive…

Machine Learning · Computer Science 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

Machine learning algorithms are increasingly deployed in critical domains such as finance, healthcare, and criminal justice [1]. The increasing popularity of algorithmic decision-making has stimulated interest in algorithmic fairness within…

Machine Learning · Computer Science 2025-11-18 Animesh Joshi

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea is to consider non-uniform probability measures.

Combinatorics · Mathematics 2014-10-06 Marius Lemm

Recidivism prediction provides decision makers with an assessment of the likelihood that a criminal defendant will reoffend that can be used in pre-trial decision-making. It can also be used for prediction of locations where crimes most…

Machine Learning · Statistics 2019-10-07 Eduardo Soares , Plamen Angelov

In high-stake domains such as healthcare and hiring, the role of machine learning (ML) in decision-making raises significant fairness concerns. This work focuses on Counterfactual Fairness (CF), which posits that an ML model's outcome on…

Machine Learning · Computer Science 2025-01-23 Zeyu Zhou , Tianci Liu , Ruqi Bai , Jing Gao , Murat Kocaoglu , David I. Inouye

The notion of individual fairness is a formalization of an ethical principle, "Treating like cases alike," which has been argued such as by Aristotle. In a fairness-aware machine learning context, Dwork et al. firstly formalized the notion.…

Machine Learning · Computer Science 2023-09-12 Toshihiro Kamishima

May's Theorem (1952), a celebrated result in social choice, provides the foundation for majority rule. May's crucial assumption of symmetry, often thought of as a procedural equity requirement, is violated by many choice procedures that…

Theoretical Economics · Economics 2020-09-01 Laurent Bartholdi , Wade Hann-Caruthers , Maya Josyula , Omer Tamuz , Leeat Yariv

The analysis of discrimination has long interested economists and lawyers. In recent years, the literature in computer science and machine learning has become interested in the subject, offering an interesting re-reading of the topic. These…

Econometrics · Economics 2022-12-21 Arthur Charpentier