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We consider the penalized distributionally robust optimization (DRO) problem with a closed, convex uncertainty set, a setting that encompasses learning using $f$-DRO and spectral/$L$-risk minimization. We present Drago, a stochastic…

机器学习 · 统计学 2025-02-12 Ronak Mehta , Jelena Diakonikolas , Zaid Harchaoui

Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

统计理论 · 数学 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the covariates is reduced to a finite data sample of their joint…

最优化与控制 · 数学 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales

The paper studies the robustness properties of discrete-time stochastic optimal control under Wasserstein model approximation for both discounted-cost and average-cost criteria. Specifically, we study the performance loss when applying an…

系统与控制 · 电气工程与系统科学 2026-03-10 Yichen Zhou , Yanglei Song , Serdar Yüksel

Reinforcement learning from human feedback (RLHF) has become a core post-training step for aligning large language models, yet the reward signal used in RLHF is only a learned proxy for true human utility. From an operations research…

机器学习 · 计算机科学 2026-05-19 Yikai Wang , Shang Liu , Jose Blanchet

We propose a distributionally robust logistic regression model with an unfairness penalty that prevents discrimination with respect to sensitive attributes such as gender or ethnicity. This model is equivalent to a tractable convex…

机器学习 · 计算机科学 2020-07-21 Bahar Taskesen , Viet Anh Nguyen , Daniel Kuhn , Jose Blanchet

Robustness of deep learning models is a property that has recently gained increasing attention. We explore a notion of robustness for generative adversarial models that is pertinent to their internal interactive structure, and show that,…

机器学习 · 计算机科学 2019-10-11 Zhi Xu , Chengtao Li , Stefanie Jegelka

Regularization, whether explicit in terms of a penalty in the loss or implicit in the choice of algorithm, is a cornerstone of modern machine learning. Indeed, controlling the complexity of the model class is particularly important when…

机器学习 · 统计学 2024-10-22 Matteo Vilucchio , Nikolaos Tsilivis , Bruno Loureiro , Julia Kempe

A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

机器学习 · 计算机科学 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig

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

The maximum mean discrepancy and Wasserstein distance are popular distance measures between distributions and play important roles in many machine learning problems such as metric learning, generative modeling, domain adaption, and…

机器学习 · 计算机科学 2025-01-22 Dong Qiao , Jicong Fan

Markov decision processes (MDPs) are known to be sensitive to parameter specification. Distributionally robust MDPs alleviate this issue by allowing for \emph{ambiguity sets} which give a set of possible distributions over parameter sets.…

最优化与控制 · 数学 2021-05-05 Julien Grand-Clément , Christian Kroer

It is well-known that deep neural networks (DNNs) are susceptible to adversarial attacks, exposing a severe fragility of deep learning systems. As the result, adversarial training (AT) method, by incorporating adversarial examples during…

机器学习 · 计算机科学 2022-03-01 Tuan Anh Bui , Trung Le , Quan Tran , He Zhao , Dinh Phung

It is essential to capture the true probability distribution of uncertain data in the distributionally robust optimization (DRO). The uncertain data presents multimodality in numerous application scenarios, in the sense that the probability…

最优化与控制 · 数学 2024-03-14 Yueyao Li , Chenglong Bao , Wenxun Xing

Decision-making under distribution shift is a central challenge in reinforcement learning (RL), where training and deployment environments differ. We study this problem through the lens of robust Markov decision processes (RMDPs), which…

机器学习 · 计算机科学 2025-10-17 Jingwen Gu , Yiting He , Zhishuai Liu , Pan Xu

Distributionally robust optimization (DRO) is an effective framework for controlling real-world systems with various uncertainties, typically modeled using distributional uncertainty balls. However, DRO problems often involve infinitely…

最优化与控制 · 数学 2025-10-22 Yuma Shida , Yuji Ito

We consider distributionally robust optimization problems where the uncertainty is modeled via a structured Wasserstein ambiguity set. Specifically, the ambiguity is restricted to product measures $P^{\otimes N}$, where $P$ lies within a…

最优化与控制 · 数学 2026-04-14 Andrey Kharitenko , Marta Fochesato , Anastasios Tsiamis , Niklas Schmid , John Lygeros

Group Relative Policy Optimization (GRPO) performs coarse-grained credit assignment in reinforcement learning with verifiable rewards (RLVR) by assigning the same advantage to all tokens in a rollout. Process reward models can provide…

计算与语言 · 计算机科学 2026-04-28 Xinzhu Chen , Wei He , Huichuan Fan , Wenzhe Niu , Zhongxiang Sun , Xuanru Wang , Jiuchong Gao , Jinghua Hao , Renqing He , Weijie Yu

Structuring ambiguity sets in Wasserstein-based distributionally robust optimization (DRO) can improve their statistical properties when the uncertainty consists of multiple independent components. The aim of this paper is to solve…

最优化与控制 · 数学 2025-04-10 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

We develop and analyze algorithms for distributionally robust optimization (DRO) of convex losses. In particular, we consider group-structured and bounded $f$-divergence uncertainty sets. Our approach relies on an accelerated method that…

最优化与控制 · 数学 2022-03-25 Yair Carmon , Danielle Hausler