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Walley's Imprecise Dirichlet Model (IDM) for categorical i.i.d. data extends the classical Dirichlet model to a set of priors. It overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in…

Statistics Theory · Mathematics 2009-12-30 Marcus Hutter

Many existing fairness metrics measure group-wise demographic disparities in system behavior or model performance. Calculating these metrics requires access to demographic information, which, in industrial settings, is often unavailable. By…

Social and Information Networks · Computer Science 2024-09-13 Avijit Ghosh , Tomo Lazovich , Kristian Lum , Christo Wilson

The Gini index is a widely reported measure of income inequality. In some settings, the underlying data used to compute the Gini index are confidential. The organization charged with reporting the Gini index may be concerned that its…

Methodology · Statistics 2025-11-26 Wenjie Lan , Jerome P. Reiter

We study the problem of fairly allocating indivisible goods and focus on the classic fairness notion of proportionality. The indivisibility of the goods is long known to pose highly non-trivial obstacles to achieving fairness, and a very…

Computer Science and Game Theory · Computer Science 2021-01-15 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

Social inequality manifested across different strata of human existence can be quantified in several ways. Here we compute non-entropic measures of inequality such as Lorenz curve, Gini index and the recently introduced $k$ index…

Physics and Society · Physics 2015-07-17 Jun-ichi Inoue , Asim Ghosh , Arnab Chatterjee , Bikas K. Chakrabarti

Empirical analyses on income and wealth inequality and those in other fields in economics and finance often face the difficulty that the data is heterogeneous, heavy-tailed or correlated in some unknown fashion. The paper focuses on…

Econometrics · Economics 2021-11-23 Rustam Ibragimov , Paul Kattuman , Anton Skrobotov

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

Humans have remarkable selective sensitivity to identities -- easily distinguishing between highly similar identities, even across significantly different contexts such as diverse viewpoints or lighting. Vision models have struggled to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Julia Chae , Nicholas Kolkin , Jui-Hsien Wang , Richard Zhang , Sara Beery , Cusuh Ham

With the emergence of precision medicine, estimating optimal individualized decision rules (IDRs) has attracted tremendous attention in many scientific areas. Most existing literature has focused on finding optimal IDRs that can maximize…

Methodology · Statistics 2022-06-28 Zhengling Qi , Jong-Shi Pang , Yufeng Liu

Fairness in machine learning research is commonly framed in the context of classification tasks, leaving critical gaps in regression. In this paper, we propose a novel approach to measure intersectional fairness in regression tasks, going…

Machine Learning · Computer Science 2025-08-01 Joe Germino , Nuno Moniz , Nitesh V. Chawla

The pursuit of having an appropriate level of income inequality should be viewed as one of the biggest challenges facing academic scholars as well as policy makers. Unfortunately, research on this issue is currently lacking. This study is…

General Economics · Economics 2022-01-04 Thitithep Sitthiyot , Kanyarat Holasut

We find the set of extremal points of Lorenz curves with fixed Gini index and compute the maximal $L^1$-distance between Lorenz curves with given values of their Gini coefficients. As an application we introduce a bidimensional index that…

Econometrics · Economics 2021-03-08 Amparo Baíllo , Javier Cárcamo , Carlos Mora-Corral

There is growing interest in designing recommender systems that aim at being fair towards item producers or their least satisfied users. Inspired by the domain of inequality measurement in economics, this paper explores the use of…

Information Retrieval · Computer Science 2023-03-29 Virginie Do , Nicolas Usunier

Inequality measures are quantitative measures that take values in the unit interval, with a zero value characterizing perfect equality. Although originally proposed to measure economic inequalities, they can be applied to several other…

Physics and Society · Physics 2024-01-26 Paolo Giudici , Emanuela Raffinetti , Giuseppe Toscani

The underlying idea behind the construction of indices of economic inequality is based on measuring deviations of various portions of low incomes from certain references or benchmarks, that could be point measures like population mean or…

Methodology · Statistics 2015-08-04 Francesca Greselin , Ricardas Zitikis

Robustness is of central importance in machine learning and has given rise to the fields of domain generalization and invariant learning, which are concerned with improving performance on a test distribution distinct from but related to the…

Machine Learning · Computer Science 2020-12-03 Robert Adragna , Elliot Creager , David Madras , Richard Zemel

Ranked lists are frequently used by information retrieval (IR) systems to present results believed to be relevant to the users information need. Fairness is a relatively new but important aspect of these rankings to measure, joining a rich…

Information Retrieval · Computer Science 2022-01-11 Amifa Raj , Michael D. Ekstrand

A country's mix of products predicts its subsequent pattern of diversification and economic growth. But does this product mix also predict income inequality? Here we combine methods from econometrics, network science, and economic…

Economics · Quantitative Finance 2017-01-31 D. Hartmann , M. R. Guevara , C. Jara-Figueroa , M. Aristaran , C. A. Hidalgo

Estimating the true rank of a noisy data matrix is a fundamental problem underlying techniques such as principal component analysis, matrix completion, etc. Existing rank estimation criteria, including information-based and cross-validation…

Methodology · Statistics 2025-10-23 Subhrajyoty Roy , Abhik Ghosh , Ayanendranath Basu

We introduce a discriminative regression approach to supervised classification in this paper. It estimates a representation model while accounting for discriminativeness between classes, thereby enabling accurate derivation of categorical…

Machine Learning · Computer Science 2020-01-01 Chong Peng , Qiang Cheng