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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

We study data-driven decision problems where historical observations are generated by a time-evolving distribution whose consecutive shifts are bounded in Wasserstein distance. We address this nonstationarity using a distributionally robust…

最优化与控制 · 数学 2025-12-25 Dominic S. T. Keehan , Edward J. Anderson , Wolfram Wiesemann

Standard rare-event simulation techniques require exact distributional specifications, which limits their effectiveness in the presence of distributional uncertainty. To address this, we develop a novel framework for estimating rare-event…

统计方法学 · 统计学 2026-01-06 Dohyun Ahn , Huiyi Chen , Lewen Zheng

Learning conditional densities and identifying factors that influence the entire distribution are vital tasks in data-driven applications. Conventional approaches work mostly with summary statistics, and are hence inadequate for a…

统计方法学 · 统计学 2022-09-13 Chengliang Tang , Nathan Lenssen , Ying Wei , Tian Zheng

Current approaches to group fairness in federated learning assume the existence of predefined and labeled sensitive groups during training. However, due to factors ranging from emerging regulations to dynamics and location-dependency of…

机器学习 · 计算机科学 2024-02-26 Afroditi Papadaki , Natalia Martinez , Martin Bertran , Guillermo Sapiro , Miguel Rodrigues

Distributionally robust optimization has emerged as an attractive way to train robust machine learning models, capturing data uncertainty and distribution shifts. Recent statistical analyses have proved that generalization guarantees of…

最优化与控制 · 数学 2025-01-28 Tam Le , Jérôme Malick

Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

最优化与控制 · 数学 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

Group fairness metrics can detect when a deep learning model behaves differently for advantaged and disadvantaged groups, but even models that score well on these metrics can make blatantly unfair predictions. We present smooth prediction…

机器学习 · 计算机科学 2020-12-02 Ivoline C. Ngong , Krystal Maughan , Joseph P. Near

Before deploying a black-box model in high-stakes problems, it is important to evaluate the model's performance on sensitive subpopulations. For example, in a recidivism prediction task, we may wish to identify demographic groups for which…

统计方法学 · 统计学 2023-06-09 John J. Cherian , Emmanuel J. Candès

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

Federated reinforcement learning typically aggregates value functions or policies by parameter averaging, which emphasizes expected return and can obscure statistical multimodality and tail behavior that matter in safety-critical settings.…

机器学习 · 计算机科学 2026-03-19 David Millard , Cecilia Alm , Rashid Ali , Pengcheng Shi , Ali Baheri

This paper proposes a distributionally robust approach to logistic regression. We use the Wasserstein distance to construct a ball in the space of probability distributions centered at the uniform distribution on the training samples. If…

最优化与控制 · 数学 2015-12-02 Soroosh Shafieezadeh-Abadeh , Peyman Mohajerin Esfahani , Daniel Kuhn

We study a variety of Wasserstein distributionally robust optimization (WDRO) problems where the distributions in the ambiguity set are chosen by constraining their Wasserstein discrepancies to the empirical distribution. Using the notion…

最优化与控制 · 数学 2024-02-07 Hong T. M. Chu , Meixia Lin , Kim-Chuan Toh

We propose a distributionally robust approach to risk-sensitive estimation of an unknown signal x from an observed signal y. The unknown signal and observation are modeled as random vectors whose joint probability distribution is unknown,…

机器学习 · 计算机科学 2026-04-21 Feras Al Taha , Eilyan Bitar

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…

机器学习 · 统计学 2021-08-23 Ruidi Chen , Ioannis Ch. Paschalidis

Group fairness metrics are an established way of assessing the fairness of prediction-based decision-making systems. However, these metrics are still insufficiently linked to philosophical theories, and their moral meaning is often unclear.…

计算机与社会 · 计算机科学 2023-05-03 Joachim Baumann , Corinna Hertweck , Michele Loi , Christoph Heitz

We present a statistical testing framework to detect if a given machine learning classifier fails to satisfy a wide range of group fairness notions. The proposed test is a flexible, interpretable, and statistically rigorous tool for…

机器学习 · 统计学 2021-06-03 Nian Si , Karthyek Murthy , Jose Blanchet , Viet Anh Nguyen

Variational inference is a technique that approximates a target distribution by optimizing within the parameter space of variational families. On the other hand, Wasserstein gradient flows describe optimization within the space of…

机器学习 · 统计学 2023-11-01 Mingxuan Yi , Song Liu

Safety assurance is uncompromisable for safety-critical environments with the presence of drastic model uncertainties (e.g., distributional shift), especially with humans in the loop. However, incorporating uncertainty in safe learning will…

机器学习 · 计算机科学 2023-10-05 Alaa Eddine Chriat , Chuangchuang Sun

We present a methodology for predictable and safe covariance steering control of uncertain nonlinear stochastic processes. The systems under consideration are subject to general uncertainties, which include unbounded random disturbances…

系统与控制 · 电气工程与系统科学 2025-09-08 Aditya Gahlawat , Vivek Khatana , Duo Wang , Sambhu H. Karumanchi , Naira Hovakimyan , Petros Voulgaris