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Machine learning algorithms with empirical risk minimization are vulnerable under distributional shifts due to the greedy adoption of all the correlations found in training data. There is an emerging literature on tackling this problem by…

Machine Learning · Computer Science 2022-11-22 Jiashuo Liu , Zheyan Shen , Peng Cui , Linjun Zhou , Kun Kuang , Bo Li

Empirical risk minimization (ERM) and distributionally robust optimization (DRO) are popular approaches for solving stochastic optimization problems that appear in operations management and machine learning. Existing generalization error…

Optimization and Control · Mathematics 2023-09-26 Garud Iyengar , Henry Lam , Tianyu Wang

Many existing transfer learning methods rely on leveraging information from source data that closely resembles the target data. However, this approach often overlooks valuable knowledge that may be present in different yet potentially…

Machine Learning · Computer Science 2023-09-14 Xin Xiong , Zijian Guo , Tianxi Cai

Conventional supervised learning methods are often vulnerable to spurious correlations, particularly under distribution shifts in test data. To address this issue, several approaches, most notably Group DRO, have been developed. While these…

Machine Learning · Computer Science 2026-02-13 Sung Ho Jo , Seonghwi Kim , Minwoo Chae

Distributionally robust optimization (DRO) is a powerful tool for decision making under uncertainty. It is particularly appealing because of its ability to leverage existing data. However, many practical problems call for decision-making…

Optimization and Control · Mathematics 2022-04-04 Yuxiao Chen , Jip Kim , James Anderson

The distributionally robust optimization (DRO)-based graph neural network methods improve recommendation systems' out-of-distribution (OOD) generalization by optimizing the model's worst-case performance. However, these studies fail to…

Machine Learning · Computer Science 2025-01-28 Chu Zhao , Enneng Yang , Yuliang Liang , Jianzhe Zhao , Guibing Guo , Xingwei Wang

In data-driven optimization, sample average approximation (SAA) is known to suffer from the so-called optimizer's curse that causes an over-optimistic evaluation of the solution performance. We argue that a special type of distributionallly…

Optimization and Control · Mathematics 2023-10-13 Zhenyuan Liu , Bart P. G. Van Parys , Henry Lam

A novel data-driven stochastic robust optimization (DDSRO) framework is proposed for optimization under uncertainty leveraging labeled multi-class uncertainty data. Uncertainty data in large datasets are often collected from various…

Machine Learning · Computer Science 2019-04-04 Chao Ning , Fengqi You

We consider the problem of preparing for a disaster season by determining where to open warehouses and how much relief item inventory to preposition in each. Then, after each disaster, prepositioned items are distributed to demand nodes…

Optimization and Control · Mathematics 2022-07-04 Karmel S. Shehadeh , Emily L. Tucker

Submodular functions have applications throughout machine learning, but in many settings, we do not have direct access to the underlying function $f$. We focus on stochastic functions that are given as an expectation of functions over a…

Machine Learning · Computer Science 2018-06-07 Matthew Staib , Bryan Wilder , Stefanie Jegelka

We study finite-sample statistical performance guarantees for distributionally robust optimization (DRO) with optimal transport (OT) and OT-regularized divergence model neighborhoods. Specifically, we derive concentration inequalities for…

Machine Learning · Statistics 2026-03-31 Jeremiah Birrell , Xiaoxi Shen

Distributionally Robust Optimisation (DRO) protects risk-averse decision-makers by considering the worst-case risk within an ambiguity set of distributions based on the empirical distribution or a model. To further guard against finite,…

Machine Learning · Statistics 2025-05-07 Charita Dellaporta , Patrick O'Hara , Theodoros Damoulas

In this work, we present an algorithmically tractable safe approximation of distributionally robust optimization (DRO) problems that contain univariate indicator functions. The latter appear in different applications, but render the model…

Optimization and Control · Mathematics 2026-01-22 Jana Dienstbier , Frauke Liers , Florian Rösel , Jan Rolfes

We study the distributionally robust optimization (DRO) in a dynamic context where the model uncertainty is captured by penalizing potential models in function of their adapted Wasserstein distance to a given reference model. We consider…

Probability · Mathematics 2025-09-30 Yifan Jiang

Distributionally robust optimization (DRO) is a widely used framework for optimizing objective functionals in the presence of both randomness and model-form uncertainty. A key step in the practical solution of many DRO problems is a…

Optimization and Control · Mathematics 2021-04-22 Jeremiah Birrell

Group distributionally robust optimization (GDRO) aims to develop models that perform well across $m$ distributions simultaneously. Existing GDRO algorithms can only process a fixed number of samples per iteration, either 1 or $m$, and…

Machine Learning · Computer Science 2025-05-22 Haomin Bai , Dingzhi Yu , Shuai Li , Haipeng Luo , Lijun Zhang

Regularized estimators in the context of group variables have been applied successfully in model and feature selection in order to preserve interpretability. We formulate a Distributionally Robust Optimization (DRO) problem which recovers…

Statistics Theory · Mathematics 2017-05-12 Jose Blanchet , Yang Kang

This paper focuses on solving a data-driven distributionally robust optimization problem over a network of agents. The agents aim to minimize the worst-case expected cost computed over a Wasserstein ambiguity set that is centered at the…

Optimization and Control · Mathematics 2022-08-23 Ashish Cherukuri , Alireza Zolanvari , Goran Banjac , Ashish R. Hota

Modern stochastic optimization pipelines increasingly rely on learned generative models to represent uncertainty, while downstream decisions are evaluated almost entirely through Monte Carlo scenarios. This shifts the operational object of…

Optimization and Control · Mathematics 2026-05-01 Ziwei Zhang , Jonathan Yu-Meng Li

Single-level reformulations of (non-convex) distributionally robust optimization (DRO) problems are often intractable, as they contain semiinfinite dual constraints. Based on such a semiinfinite reformulation, we present a safe…

Optimization and Control · Mathematics 2025-06-09 J. Dienstbier , F. Liers , J. Rolfes