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Recently, there has been increased interest in fair generative models. In this work, we conduct, for the first time, an in-depth study on fairness measurement, a critical component in gauging progress on fair generative models. We make…

Machine Learning · Computer Science 2023-10-31 Christopher T. H. Teo , Milad Abdollahzadeh , Ngai-Man Cheung

We introduce a quantitative method to compare arbitrary pairs of graph centrality measures, based on the ordering of vertices induced by them. The proposed method is conceptually simple, mathematically elegant, and allows for a quantitative…

Social and Information Networks · Computer Science 2026-01-26 G. Exarchakos , R. van der Hofstad , O. Nagy , M. Pandey

In the paper we are dealing with metric measure spaces of diameter at most one and of total measure one. Gromov introduced the sampling compactification of the set of these spaces. He asked whether the metric measure space invariants extend…

Metric Geometry · Mathematics 2012-07-24 Gabor Elek

In this paper, we study the prediction of a real-valued target, such as a risk score or recidivism rate, while guaranteeing a quantitative notion of fairness with respect to a protected attribute such as gender or race. We call this class…

Machine Learning · Computer Science 2019-05-31 Alekh Agarwal , Miroslav Dudík , Zhiwei Steven Wu

Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studied for almost fifty years. Recently, unexpected applications of hyperfiniteness were found in computer science in the context of testability…

Functional Analysis · Mathematics 2012-05-31 Gabor Elek

We give new examples and describe the complete lists of all measures on the set of countable homogeneous universal graphs and $K_s$-free homogeneous universal graphs (for $s\geq 3$) that are invariant with respect to the group of all…

Combinatorics · Mathematics 2009-06-30 F. V. Petrov , A. M. Vershik

Fairness is an important performance criterion in all resource allocation schemes, including those in distributed computer systems. However, it is often specified only qualitatively. The quantitative measures proposed in the literature are…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , D. Chiu , W. Hawe

With the increasing penetration of machine learning applications in critical decision-making areas, calls for algorithmic fairness are more prominent. Although there have been various modalities to improve algorithmic fairness through…

Machine Learning · Computer Science 2024-05-21 Zhihao Hu , Yiran Xu , Mengnan Du , Jindong Gu , Xinmei Tian , Fengxiang He

There is arbitrariness in optimum solutions of graph-theoretic problems that can give rise to unfairness. Incorporating fairness in such problems, however, can be done in multiple ways. For instance, fairness can be defined on an individual…

Optimization and Control · Mathematics 2023-11-28 Christopher Hojny , Frits Spieksma , Sten Wessel

We apply a theorem of Wick to rewrite certain classes of exponential measures on random graphs as integrals of Feynman-Gibbs type, on the real line. The analytic properties of these measures can then be studied in terms of phase…

Statistical Mechanics · Physics 2007-07-19 Jack Morava

To mitigate the effects of undesired biases in models, several approaches propose to pre-process the input dataset to reduce the risks of discrimination by preventing the inference of sensitive attributes. Unfortunately, most of these…

Machine Learning · Computer Science 2023-02-21 Sébastien Gambs , Rosin Claude Ngueveu

Recently, Landau, Reid and Yershov provided a novel solution to the problem of redistricting. Instead of trying to ensure fairness by restricting the shape of the possible maps or by assigning the power to draw the map to nonbiased…

Computer Science and Game Theory · Computer Science 2023-09-04 Zeph Landau , Francis Edward Su

We study multifractal decompositions based on Birkhoff averages for sequences of functions belonging to certain classes of symbolically continuous functions. We do this for an expanding interval map with countably many branches, which we…

Dynamical Systems · Mathematics 2023-05-15 Tom Rush

A polynomial-time exact algorithm for counting the number of directed acyclic graphs in a Markov equivalence class was recently given by Wien\"obst, Bannach, and Li\'skiewicz (AAAI 2021). In this paper, we consider the more general problem…

Data Structures and Algorithms · Computer Science 2023-06-14 Vidya Sagar Sharma

Metric search commonly involves finding objects similar to a given sample object. We explore a generalization, where the desired result is a fair tradeoff between multiple query objects. This builds on previous results on complex queries,…

Data Structures and Algorithms · Computer Science 2021-08-10 Magnus Lie Hetland , Halvard Hummel

Effective machine learning models can automatically learn useful information from a large quantity of data and provide decisions in a high accuracy. These models may, however, lead to unfair predictions in certain sense among the population…

Machine Learning · Computer Science 2020-06-19 Mingliang Chen , Min Wu

We introduce a new landmark recognition dataset, which is created with a focus on fair worldwide representation. While previous work proposes to collect as many images as possible from web repositories, we instead argue that such approaches…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Zu Kim , André Araujo , Bingyi Cao , Cam Askew , Jack Sim , Mike Green , N'Mah Fodiatu Yilla , Tobias Weyand

Algorithmic fairness is receiving significant attention in the academic and broader literature due to the increasing use of predictive algorithms, including those based on artificial intelligence. One benefit of this trend is that algorithm…

Computers and Society · Computer Science 2020-01-28 Pratyush Garg , John Villasenor , Virginia Foggo

Group fairness requires that different protected groups, characterized by a given sensitive attribute, receive equal outcomes overall. Typically, the level of group fairness is measured by the statistical gap between predictions from…

Artificial Intelligence · Computer Science 2025-01-07 Kunwoong Kim , Insung Kong , Jongjin Lee , Minwoo Chae , Sangchul Park , Yongdai Kim

Individual fairness, proposed by Dwork et al., is a fairness measure that is supposed to prevent the unfair treatment of individuals on the subgroup level, and to overcome the problem that group fairness measures are susceptible to…

Computers and Society · Computer Science 2023-11-06 Tim Räz