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Ensuring that classifiers are non-discriminatory or fair with respect to a sensitive feature (e.g., race or gender) is a topical problem. Progress in this task requires fixing a definition of fairness, and there have been several proposals…

Machine Learning · Computer Science 2019-01-28 Robert C. Williamson , Aditya Krishna Menon

Fairness emerged as an important requirement to guarantee that Machine Learning (ML) predictive systems do not discriminate against specific individuals or entire sub-populations, in particular, minorities. Given the inherent subjectivity…

Machine Learning · Computer Science 2022-06-08 Karima Makhlouf , Sami Zhioua , Catuscia Palamidessi

What is a fair performance metric? We consider the choice of fairness metrics through the lens of metric elicitation -- a principled framework for selecting performance metrics that best reflect implicit preferences. The use of metric…

Machine Learning · Statistics 2020-11-04 Gaurush Hiranandani , Harikrishna Narasimhan , Oluwasanmi Koyejo

The problem of finding an appropriate geometrical/physical index for measuring a degree of inhomogeneity for a given space-time manifold is posed. Interrelations with the problem of understanding the gravitational/informational entropy are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roustam Zalaletdinov

While the field of algorithmic fairness has brought forth many ways to measure and improve the fairness of machine learning models, these findings are still not widely used in practice. We suspect that one reason for this is that the field…

Computers and Society · Computer Science 2022-03-16 Corinna Hertweck , Christoph Heitz

In algorithmically fair prediction problems, a standard goal is to ensure the equality of fairness metrics across multiple overlapping groups simultaneously. We reconsider this standard fair classification problem using a probabilistic…

Machine Learning · Computer Science 2020-06-25 Forest Yang , Moustapha Cisse , Sanmi Koyejo

In this work we generalize standard Decision Theory by assuming that two outcomes can also be incomparable. Two motivating scenarios show how incomparability may be helpful to represent those situations where, due to lack of information,…

Computer Science and Game Theory · Computer Science 2014-04-04 Piero A. Bonatti , Marco Faella , Luigi Sauro

In this paper, we propose a novel fairness framework grounded in the concept of happiness, a measure of the utility each group gains fromdecisionoutcomes. Bycapturingfairness through this intuitive lens, we not only offer a more…

Machine Learning · Computer Science 2025-11-04 Georg Pichler , Marco Romanelli , Pablo Piantanida

In the context of regression, we consider the fundamental question of making an estimator fair while preserving its prediction accuracy as much as possible. To that end, we define its projection to fairness as its closest fair estimator in…

Machine Learning · Computer Science 2020-06-26 Thibaut Le Gouic , Jean-Michel Loubes , Philippe Rigollet

Approximate learning machines have become popular in the era of small devices, including quantised, factorised, hashed, or otherwise compressed predictors, and the quest to explain and guarantee good generalisation abilities for such…

Machine Learning · Computer Science 2022-03-16 Andrew J. Turner , Ata Kabán

Group fairness metrics are an established way of assessing the fairness of prediction-based decision-making systems. However, these metrics are still insufficiently linked to philosophical theories, and their moral meaning is often unclear.…

Computers and Society · Computer Science 2023-05-03 Joachim Baumann , Corinna Hertweck , Michele Loi , Christoph Heitz

In this paper, a new approximate syllogistic reasoning schema is described that expands some of the approaches expounded in the literature into two ways: (i) a number of different types of quantifiers (logical, absolute, proportional,…

Artificial Intelligence · Computer Science 2014-11-27 M. Pereira-Fariña , Juan C. Vidal , F. Díaz-Hermida , A. Bugarín

Linearizability is a commonly accepted notion of correctness for libraries of concurrent algorithms, and recent years have seen a number of proposals of program logics for proving it. Although these logics differ in technical details, they…

Programming Languages · Computer Science 2016-09-06 Artem Khyzha , Alexey Gotsman , Matthew Parkinson

The goal of fairness in classification is to learn a classifier that does not discriminate against groups of individuals based on sensitive attributes, such as race and gender. One approach to designing fair algorithms is to use relaxations…

Machine Learning · Computer Science 2021-06-09 Kirtan Padh , Diego Antognini , Emma Lejal Glaude , Boi Faltings , Claudiu Musat

In this short paper we show that the inequality of arithmetic and geometric means is reduced to another interesting inequality, and a proof is provided.

History and Overview · Mathematics 2015-03-23 Haoxiang Lin

There are numerous examples in different research fields where the use of the geometric mean is more appropriate than the arithmetic mean. However, the geometric mean has a serious limitation in comparison with the arithmetic mean. Means…

Applications · Statistics 2019-04-05 Roberto de la Cruz , Jan-Ulrich Kreft

Similarity metric which is not positive definite, and present a general theorem which provides a large family of similarity metrics which are positive definite.

Functional Analysis · Mathematics 2023-07-21 Daniel Alpay , Liora Mayats-Alpay

We study the statistical design of a fair mechanism that attains equalized odds, where an agent uses some useful data (database) $X$ to solve a task $T$. Since both $X$ and $T$ are correlated with some latent sensitive attribute $S$, the…

Information Theory · Computer Science 2025-12-02 Amirreza Zamani , Ayfer Özgür , Mikael Skoglund

Standard approaches to group-based notions of fairness, such as \emph{parity} and \emph{equalized odds}, try to equalize absolute measures of performance across known groups (based on race, gender, etc.). Consequently, a group that is…

Machine Learning · Computer Science 2021-02-25 Anilesh K. Krishnaswamy , Zhihao Jiang , Kangning Wang , Yu Cheng , Kamesh Munagala

Prediction is a complex notion, and different predictors (such as people, computer programs, and probabilistic theories) can pursue very different goals. In this paper I will review some popular kinds of prediction and argue that the theory…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk