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We present an approach for maximizing a global utility function by learning how to allocate resources in an unsupervised way. We expect interactions between allocation targets to be important and therefore propose to learn the reward…

Machine Learning · Computer Science 2021-06-21 Miles Cranmer , Peter Melchior , Brian Nord

Social inequalities are ubiquitous and evolve towards a universal limit. Herein, we extensively review the values of inequality measures, namely the Gini ($g$) index and the Kolkata ($k$) index, two standard measures of inequality used in…

Physics and Society · Physics 2023-05-03 Suchismita Banerjee , Soumyajyoti Biswas , Bikas K. Chakrabarti , Asim Ghosh , Manipushpak Mitra

How to dynamically measure the local-to-global spatio-temporal coherence between demand and supply networks is a fundamental task for ride-sourcing platforms, such as DiDi. Such coherence measurement is critically important for the…

Optimization and Control · Mathematics 2021-03-24 Fan Zhou , Shikai Luo , Xiaohu Qie , Jieping Ye , Hongtu Zhu

Graph neural networks (GNNs), has been widely used for supervised learning tasks in graphs reaching state-of-the-art results. However, little work was dedicated to creating unbiased GNNs, i.e., where the classification is uncorrelated with…

Machine Learning · Computer Science 2021-08-20 Uriel Singer , Kira Radinsky

The recent advent of powerful generative models has triggered the renewed development of quantitative measures to assess the proximity of two probability distributions. As the scalar Frechet inception distance remains popular, several…

Machine Learning · Computer Science 2022-10-14 Rodrigue Siry , Ryan Webster , Loic Simon , Julien Rabin

This study examines the relationship between globalization and income inequality, utilizing panel data spanning from 1992 to 2020. Globalization is measured by the World Bank global-link indicators such as FDI, Remittance, Trade Openness,…

General Economics · Economics 2023-02-21 Md Shah Naoaj

Logistic regression is an important statistical tool for assessing the probability of an outcome based upon some predictive variables. Standard methods can only deal with precisely known data, however many datasets have uncertainties which…

Methodology · Statistics 2022-06-09 Nicholas Gray , Scott Ferson

Based on some analytic structural properties of the Gini and Kolkata indices for social inequality, as obtained from a generic form of the Lorenz function, we make a conjecture that the limiting (effective saturation) value of the…

Physics and Society · Physics 2021-04-09 Asim Ghosh , Bikas K Chakrabarti

Statistical algorithms are usually helping in making decisions in many aspects of our lives. But, how do we know if these algorithms are biased and commit unfair discrimination of a particular group of people, typically a minority?…

Statistics Theory · Mathematics 2018-07-19 Eustasio del Barrio , Fabrice Gamboa , Paula Gordaliza , Jean-Michel Loubes

This paper focuses on the estimation of the concentration curve of a finite population, when data are collected according to a complex sampling design with different inclusion probabilities. A (design-based) Hajek type estimator for the…

Transportation systems can be conceptualized as an instrument of spreading people and resources over the territory, playing an important role in developing sustainable cities. The current rationale of transport provision is based on…

Physics and Society · Physics 2019-08-05 J. Siqueira-Gay , M. A. Giannotti , M. Sester

In this paper, we propose a convex formulation for learning logistic regression model (logit) with latent heterogeneous effect on sub-population. In transportation, logistic regression and its variants are often interpreted as discrete…

Machine Learning · Computer Science 2021-08-24 Hongyuan Zhan , Kamesh Madduri , Venkataraman Shankar

This paper examines the relationship between resource reallocation, uniqueness of equilibrium and efficiency in economics. We explore the implications of reallocation policies for stability, conflict, and decision-making by analysing the…

Theoretical Economics · Economics 2023-08-08 Andrea Loi , Stefano Matta , Daria Uccheddu

The incorporation of fairness into the distribution network (DN) planning and operation has become a key goal of recent studies. The cost of implementing fairness, denominated the price of fairness (PoF), covers the efficiency that is…

Artificial Intelligence · Computer Science 2026-05-01 Pedro F. C. de Carvalho , Zijie Liu , Md Umar Hashmi , Dirk Van Hertem

In this article, we study the optimization of resource distributions in a one-dimensional logistic diffusive model. The goal is to determine a distribution on a bounded one-dimensional domain that maximizes the total population at…

Analysis of PDEs · Mathematics 2025-11-21 Junyoung Heo , Yubin Lee

We consider the problem of allocating indivisible goods in a way that is fair, using one of the leading market mechanisms in economics: the competitive equilibrium from equal incomes. Focusing on two major classes of valuations, namely…

Computer Science and Game Theory · Computer Science 2016-07-19 Simina Brânzei , Hadi Hosseini , Peter Bro Miltersen

Generalized linear models (GLMs) are fundamental tools for statistical modeling, with maximum likelihood estimation (MLE) serving as the classical approach for parameter inference. While MLE performs well for canonical GLMs, it can become…

Methodology · Statistics 2026-03-03 Linglingzhi Zhu , Jonghyeok Lee , Yao Xie

Currently, the high-precision estimation of nonlinear parameters such as Gini indices, low-income proportions or other measures of inequality is particularly crucial. In the present paper, we propose a general class of estimators for such…

Methodology · Statistics 2014-07-01 Camelia Goga , Anne Ruiz-Gazen

Determining an upper bound, particularly the optimal upper bound of the Gini coefficient when dealing with grouped data without specified income brackets, remains an important and open question. In this paper, we introduce an efficient…

Methodology · Statistics 2025-01-15 Pixu Shi , Anru R. Zhang

This paper applies economic concepts from measuring income inequality to an exercise in assessing spatial inequality in cancer service access in regional areas. We propose a mathematical model for accessing chemotherapy among local…

Econometrics · Economics 2022-09-20 Ka C. Chan , Ruth F. G. Williams , Christopher T. Lenard , Terence M. Mills