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Related papers: Fair Regression with Wasserstein Barycenters

200 papers

By building upon the recent theory that established the connection between implicit generative modeling (IGM) and optimal transport, in this study, we propose a novel parameter-free algorithm for learning the underlying distributions of…

Machine Learning · Statistics 2019-06-12 Antoine Liutkus , Umut Şimşekli , Szymon Majewski , Alain Durmus , Fabian-Robert Stöter

We develop a novel bias mitigation framework with distribution-based fairness constraints suitable for producing demographically blind and explainable machine-learning models across a wide range of fairness levels. This is accomplished…

Machine Learning · Computer Science 2025-10-31 Ryan Franks , Alexey Miroshnikov , Konstandinos Kotsiopoulos

The vast majority of techniques to train fair models require access to the protected attribute (e.g., race, gender), either at train time or in production. However, in many important applications this protected attribute is largely…

Machine Learning · Computer Science 2023-10-04 Hadi Elzayn , Emily Black , Patrick Vossler , Nathanael Jo , Jacob Goldin , Daniel E. Ho

Training and evaluation of fair classifiers is a challenging problem. This is partly due to the fact that most fairness metrics of interest depend on both the sensitive attribute information and label information of the data points. In many…

Machine Learning · Computer Science 2021-02-18 Pranjal Awasthi , Alex Beutel , Matthaeus Kleindessner , Jamie Morgenstern , Xuezhi Wang

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

Machine Learning · Statistics 2017-03-27 Muhammad Bilal Zafar , Isabel Valera , Manuel Gomez Rodriguez , Krishna P. Gummadi

Discrete Wasserstein barycenters correspond to optimal solutions of transportation problems for a set of probability measures with finite support. Discrete barycenters are measures with finite support themselves and exhibit two favorable…

Optimization and Control · Mathematics 2020-04-24 Steffen Borgwardt

We consider probabilistic models for sequential observations which exhibit gradual transitions among a finite number of states. We are particularly motivated by applications such as human activity analysis where observed accelerometer time…

Machine Learning · Computer Science 2023-09-22 Kevin C. Cheng , Shuchin Aeron , Michael C. Hughes , Eric L. Miller

We propose an efficient federated dual decomposition algorithm for calculating the Wasserstein barycenter of several distributions, including choosing the support of the solution. The algorithm does not access local data and uses only…

Machine Learning · Computer Science 2025-07-29 Zhengqi Lin , Andrzej Ruszczyński

Algorithmic decisions about individuals require predictions that are not only accurate but also fair with respect to sensitive attributes such as gender and race. Causal notions of fairness align with legal requirements, yet many methods…

Machine Learning · Statistics 2026-03-02 Yoichi Chikahara

This paper presents an efficient algorithm for the progressive approximation of Wasserstein barycenters of persistence diagrams, with applications to the visual analysis of ensemble data. Given a set of scalar fields, our approach enables…

Graphics · Computer Science 2019-10-10 Jules Vidal , Joseph Budin , Julien Tierny

We study the problem of learning fair prediction models for unseen test sets distributed differently from the train set. Stability against changes in data distribution is an important mandate for responsible deployment of models. The domain…

Machine Learning · Computer Science 2021-01-26 Harvineet Singh , Rina Singh , Vishwali Mhasawade , Rumi Chunara

The fairness in machine learning is getting increasing attention, as its applications in different fields continue to expand and diversify. To mitigate the discriminated model behaviors between different demographic groups, we introduce a…

Machine Learning · Computer Science 2021-11-09 Taeuk Jang , Pengyi Shi , Xiaoqian Wang

In this work clustering schemes for uncertain and structured data are considered relying on the notion of Wasserstein barycenters, accompanied by appropriate clustering indices based on the intrinsic geometry of the Wasserstein space where…

Algorithmic fairness involves expressing notions such as equity, or reasonable treatment, as quantifiable measures that a machine learning algorithm can optimise. Most work in the literature to date has focused on classification problems…

Machine Learning · Computer Science 2020-03-06 Daniel Steinberg , Alistair Reid , Simon O'Callaghan

We develop a general theoretical and algorithmic framework for sparse approximation and structured prediction in $\mathcal{P}_2(\Omega)$ with Wasserstein barycenters. The barycenters are sparse in the sense that they are computed from an…

Numerical Analysis · Mathematics 2023-02-13 Minh-Hieu Do , Jean Feydy , Olga Mula

We study first-order optimization algorithms for computing the barycenter of Gaussian distributions with respect to the optimal transport metric. Although the objective is geodesically non-convex, Riemannian GD empirically converges…

Optimization and Control · Mathematics 2023-11-01 Jason M. Altschuler , Sinho Chewi , Patrik Gerber , Austin J. Stromme

Computing Wasserstein barycenters of discrete measures has recently attracted considerable attention due to its wide variety of applications in data science. In general, this problem is NP-hard, calling for practical approximative…

Numerical Analysis · Mathematics 2023-01-25 Johannes von Lindheim

Fair representation learning is an attractive approach that promises fairness of downstream predictors by encoding sensitive data. Unfortunately, recent work has shown that strong adversarial predictors can still exhibit unfairness by…

Machine Learning · Computer Science 2022-03-21 Mislav Balunović , Anian Ruoss , Martin Vechev

In the application of machine learning to real-life decision-making systems, e.g., credit scoring and criminal justice, the prediction outcomes might discriminate against people with sensitive attributes, leading to unfairness. The commonly…

Machine Learning · Computer Science 2022-03-21 Suyun Liu , Luis Nunes Vicente

This monograph develops a comprehensive statistical learning framework that is robust to (distributional) perturbations in the data using Distributionally Robust Optimization (DRO) under the Wasserstein metric. Beginning with fundamental…

Machine Learning · Statistics 2021-08-23 Ruidi Chen , Ioannis Ch. Paschalidis