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In this paper, the solution to the empirical risk minimization problem with $f$-divergence regularization (ERM-$f$DR) is presented and conditions under which the solution also serves as the solution to the minimization of the expected…

Machine Learning · Statistics 2026-01-21 Francisco Daunas , Iñaki Esnaola , Samir M. Perlaza , H. Vincent Poor

Randomized algorithms, such as randomized sketching or stochastic optimization, are a promising approach to ease the computational burden in analyzing large datasets. However, randomized algorithms also produce non-deterministic outputs,…

Methodology · Statistics 2025-05-13 Zhixiang Zhang , Sokbae Lee , Edgar Dobriban

The ability to train Deep Neural Networks (DNNs) with constraints is instrumental in improving the fairness of modern machine-learning models. Many algorithms have been analysed in recent years, and yet there is no standard, widely accepted…

Machine Learning · Computer Science 2026-02-19 Andrii Kliachkin , Jana Lepšová , Gilles Bareilles , Jakub Mareček

Allocation of limited resources under uncertain requirements often necessitates fairness considerations, with applications in computer systems, health systems, and humanitarian logistics. This paper introduces a distributionally robust (DR)…

Optimization and Control · Mathematics 2025-09-22 Jiaqi Lei , Akhil Singla , Sanjay Mehrotra

Developing classification algorithms that are fair with respect to sensitive attributes of the data has become an important problem due to the growing deployment of classification algorithms in various social contexts. Several recent works…

Machine Learning · Computer Science 2020-04-16 L. Elisa Celis , Lingxiao Huang , Vijay Keswani , Nisheeth K. Vishnoi

As machine learning systems are increasingly used to make real world legal and financial decisions, it is of paramount importance that we develop algorithms to verify that these systems do not discriminate against minorities. We design a…

Artificial Intelligence · Computer Science 2020-01-01 Osbert Bastani , Xin Zhang , Armando Solar-Lezama

In many healthcare settings, it is both critical to consider fairness when building analytical applications but also uniquely unacceptable to lower model performance for one group to match that of another (e.g. fairness cannot be achieved…

Applications · Statistics 2025-01-23 Daniel Smolyak , Courtney Paulson , Margrét V. Bjarnadóttir

Performative prediction is a framework accounting for the shift in the data distribution induced by the prediction of a model deployed in the real world. Ensuring rapid convergence to a stable solution where the data distribution remains…

Machine Learning · Computer Science 2026-01-30 Pedram Khorsandi , Rushil Gupta , Mehrnaz Mofakhami , Simon Lacoste-Julien , Gauthier Gidel

Representation learning is increasingly applied to generate representations that generalize well across multiple downstream tasks. Ensuring fairness guarantees in representation learning is crucial to prevent unfairness toward specific…

Machine Learning · Computer Science 2025-10-27 Yuhong Luo , Austin Hoag , Xintong Wang , Philip S. Thomas , Przemyslaw A. Grabowicz

Distributed stochastic optimization has drawn great attention recently due to its effectiveness in solving large-scale machine learning problems. Though numerous algorithms have been proposed and successfully applied to general practical…

Optimization and Control · Mathematics 2023-12-15 Kun Huang , Xiao Li , Shi Pu

Quantifying the data uncertainty in learning tasks is often done by learning a prediction interval or prediction set of the label given the input. Two commonly desired properties for learned prediction sets are \emph{valid coverage} and…

Machine Learning · Computer Science 2022-05-31 Yu Bai , Song Mei , Huan Wang , Yingbo Zhou , Caiming Xiong

The Expectation Maximization (EM) algorithm is the default algorithm for inference in latent variable models. As in any other field of machine learning, applications of latent variable models to very large datasets make the use of advanced…

Optimization and Control · Mathematics 2021-11-11 Aymeric Dieuleveut , Gersende Fort , Eric Moulines , Geneviève Robin

Mechanism design in resource allocation studies dividing limited resources among self-interested agents whose satisfaction with the allocation depends on privately held utilities. We consider the problem in a payment-free setting, with the…

Computer Science and Game Theory · Computer Science 2025-01-03 Sihan Zeng , Sujay Bhatt , Alec Koppel , Sumitra Ganesh

Optimizing prediction accuracy can come at the expense of fairness. Towards minimizing discrimination against a group, fair machine learning algorithms strive to equalize the behavior of a model across different groups, by imposing a…

Machine Learning · Statistics 2020-06-17 Hongyan Chang , Ta Duy Nguyen , Sasi Kumar Murakonda , Ehsan Kazemi , Reza Shokri

This manuscript studies a general approach to construct confidence sets for the solution of stochastic optimization, rendering empirical risk minimization as special cases. Statistical inference for stochastic optimization poses significant…

Statistics Theory · Mathematics 2026-05-22 Kenta Takatsu , Arun Kumar Kuchibhotla

In safety-critical applications, machine learning models should generalize well under worst-case distribution shifts, that is, have a small robust risk. Invariance-based algorithms can provably take advantage of structural assumptions on…

Machine Learning · Statistics 2025-02-06 Julia Kostin , Nicola Gnecco , Fanny Yang

Human lives are increasingly being affected by the outcomes of automated decision-making systems and it is essential for the latter to be, not only accurate, but also fair. The literature of algorithmic fairness has grown considerably over…

Machine Learning · Computer Science 2022-11-15 Ainhize Barrainkua , Paula Gordaliza , Jose A. Lozano , Novi Quadrianto

This paper investigates robust versions of the general empirical risk minimization algorithm, one of the core techniques underlying modern statistical methods. Success of the empirical risk minimization is based on the fact that for a…

Machine Learning · Statistics 2019-10-17 Stanislav Minsker , Timothée Mathieu

As an important problem in modern data analytics, classification has witnessed varieties of applications from different domains. Different from conventional classification approaches, fair classification concerns the issues of unintentional…

Machine Learning · Statistics 2020-12-25 Qing Ye , Weijun Xie

Machine learning algorithms play an important role in a variety of important decision-making processes, including targeted advertisement displays, home loan approvals, and criminal behavior predictions. Given the far-reaching impact of…

Machine Learning · Computer Science 2023-04-14 Shaojie Tang , Jing Yuan
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