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Optimal transport provides an inherently geometric and highly structured framework for studying spaces of probability measures, supplying a rich theoretical toolkit for contemporary statistics, machine learning, and generative modelling. In…

统计理论 · 数学 2026-05-21 Riccardo Passeggeri , Rohan M. Shenoy , Pengcheng Ye

Learning a fair predictive model is crucial to mitigate biased decisions against minority groups in high-stakes applications. A common approach to learn such a model involves solving an optimization problem that maximizes the predictive…

机器学习 · 计算机科学 2023-06-08 Abhin Shah , Maohao Shen , Jongha Jon Ryu , Subhro Das , Prasanna Sattigeri , Yuheng Bu , Gregory W. Wornell

Complex statistical machine learning models are increasingly being used or considered for use in high-stakes decision-making pipelines in domains such as financial services, health care, criminal justice and human services. These models are…

应用统计 · 统计学 2017-07-04 Alexandra Chouldechova , Max G'Sell

Optimal transport is widely used to learn distributions, enforce distributional constraints, and model uncertainty. In applications, transport losses are often computed from samples through tractable representations, such as one-dimensional…

最优化与控制 · 数学 2026-05-28 Tam Le

This paper is focused on the statistical analysis of data consisting of a collection of multiple series of probability measures that are indexed by distinct time instants and supported over a bounded interval of the real line. By modeling…

机器学习 · 统计学 2026-05-05 Yiye Jiang , Jérémie Bigot

We investigate the prominent class of fair representation learning methods for bias mitigation. Using causal reasoning to define and formalise different sources of dataset bias, we reveal important implicit assumptions inherent to these…

机器学习 · 计算机科学 2025-02-11 Charles Jones , Fabio de Sousa Ribeiro , Mélanie Roschewitz , Daniel C. Castro , Ben Glocker

We provide practical, efficient, and nonparametric methods for auditing the fairness of deployed classification and regression models. Whereas previous work relies on a fixed-sample size, our methods are sequential and allow for the…

机器学习 · 统计学 2025-05-19 Ben Chugg , Santiago Cortes-Gomez , Bryan Wilder , Aaditya Ramdas

Density regression models allow a comprehensive understanding of data by modeling the complete conditional probability distribution. While flexible estimation approaches such as normalizing flows (NF) work particularly well in multiple…

机器学习 · 统计学 2025-06-13 Marcel Arpogaus , Thomas Kneib , Thomas Nagler , David Rügamer

We investigate the problem of reliably assessing group fairness when labeled examples are few but unlabeled examples are plentiful. We propose a general Bayesian framework that can augment labeled data with unlabeled data to produce more…

机器学习 · 统计学 2020-10-21 Disi Ji , Padhraic Smyth , Mark Steyvers

We provide statistical theory for conditional and unconditional Wasserstein generative adversarial networks (WGANs) in the framework of dependent observations. We prove upper bounds for the excess Bayes risk of the WGAN estimators with…

统计理论 · 数学 2020-11-09 Moritz Haas , Stefan Richter

The analysis of discrimination has long interested economists and lawyers. In recent years, the literature in computer science and machine learning has become interested in the subject, offering an interesting re-reading of the topic. These…

计量经济学 · 经济学 2022-12-21 Arthur Charpentier

Graphs are playing a crucial role in different fields since they are powerful tools to unveil intrinsic relationships among signals. In many scenarios, an accurate graph structure representing signals is not available at all and that…

机器学习 · 计算机科学 2021-05-14 Xiang Zhang , Yinfei Xu , Qinghe Liu , Zhicheng Liu , Jian Lu , Qiao Wang

Unintended bias in Machine Learning can manifest as systemic differences in performance for different demographic groups, potentially compounding existing challenges to fairness in society at large. In this paper, we introduce a suite of…

机器学习 · 计算机科学 2019-05-09 Daniel Borkan , Lucas Dixon , Jeffrey Sorensen , Nithum Thain , Lucy Vasserman

Performativity means that the deployment of a predictive model incentivizes agents to strategically adapt their behavior, thereby inducing a model-dependent distribution shift. Practitioners often repeatedly retrain the model on data…

最优化与控制 · 数学 2026-02-09 Siyi Wang , Zifan Wang , Karl H. Johansson

The Wasserstein metric is introduced as a probabilistic method to enable quantitative evaluations of LES combustion models. The Wasserstein metric can directly be evaluated from scatter data or statistical results using probabilistic…

数据分析、统计与概率 · 物理学 2017-06-06 Ross Johnson , Hao Wu , Matthias Ihme

A novel framework for density estimation under expectation constraints is proposed. The framework minimizes the Wasserstein distance between the estimated density and a prior, subject to the constraints that the expected value of a set of…

机器学习 · 统计学 2026-02-24 Yinan Hu , Esteban G. Tabak

Despite substantial progress in promoting fairness in high-stake applications using machine learning models, existing methods often modify the training process, such as through regularizers or other interventions, but lack formal guarantees…

机器学习 · 计算机科学 2025-06-10 Firas Laakom , Haobo Chen , Jürgen Schmidhuber , Yuheng Bu

Predictive models that generalize well under distributional shift are often desirable and sometimes crucial to building robust and reliable machine learning applications. We focus on distributional shift that arises in causal inference from…

机器学习 · 统计学 2018-02-27 Fredrik D. Johansson , Nathan Kallus , Uri Shalit , David Sontag

The Wasserstein distance is a distance between two probability distributions and has recently gained increasing popularity in statistics and machine learning, owing to its attractive properties. One important approach to extending this…

统计方法学 · 统计学 2022-02-14 Ryo Okano , Masaaki Imaizumi

In many applications of causal inference, the treatment received by one unit may influence the outcome of another, a phenomenon referred to as interference. Although there are several frameworks for conducting causal inference in the…

统计方法学 · 统计学 2025-11-27 Matvey Ortyashov , AmirEmad Ghassami