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In recent years, two prominent paradigms have shaped distributionally robust optimization (DRO), modeling distributional ambiguity through $\phi$-divergences and Wasserstein distances, respectively. While the former focuses on ambiguity in…

Optimization and Control · Mathematics 2025-12-22 Jose Blanchet , Daniel Kuhn , Jiajin Li , Bahar Taskesen

There are numerous industrial settings in which a decision maker must decide whether to enter into long-term contracts to guarantee price (and hence cash flow) stability or to participate in more volatile spot markets. In this paper, we…

Optimization and Control · Mathematics 2025-01-28 Dimitri J. Papageorgiou

We consider data-driven approaches that integrate a machine learning prediction model within distributionally robust optimization (DRO) given limited joint observations of uncertain parameters and covariates. Our framework is flexible in…

Optimization and Control · Mathematics 2022-05-26 Rohit Kannan , Güzin Bayraksan , James R. Luedtke

Offline reinforcement learning aims to learn from pre-collected datasets without active exploration. This problem faces significant challenges, including limited data availability and distributional shifts. Existing approaches adopt a…

Machine Learning · Computer Science 2024-10-01 Yue Wang , Jinjun Xiong , Shaofeng Zou

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

Optimization and Control · Mathematics 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

We consider a residuals-based distributionally robust optimization (DRO) model, where the underlying uncertainty depends on both covariate information and our decisions. We adopt both parametric and nonparametric regression models to learn…

Optimization and Control · Mathematics 2026-05-21 Qing Zhu , Xian Yu , Guzin Bayraksan

We present a novel framework for distributionally robust optimization (DRO), called cost-aware DRO (CADRO). The key idea of CADRO is to exploit the cost structure in the design of the ambiguity set to reduce conservatism. Particularly, the…

Optimization and Control · Mathematics 2023-05-17 Mathijs Schuurmans , Panagiotis Patrinos

Off-policy evaluation and learning are concerned with assessing a given policy and learning an optimal policy from offline data without direct interaction with the environment. Often, the environment in which the data are collected differs…

Machine Learning · Computer Science 2024-01-18 Yi Shen , Pan Xu , Michael M. Zavlanos

In problems that involve input parameter information gathered from multiple data sources with varying reliability, incorporating decision makers' trust on different sources in optimization models can potentially improve solution…

Optimization and Control · Mathematics 2026-02-27 Yanru Guo , Ruiwei Jiang , Siqian Shen

Distributionally Robust Optimization (DRO) has been shown to provide a flexible framework for decision making under uncertainty and statistical estimation. For example, recent works in DRO have shown that popular statistical estimators can…

Machine Learning · Statistics 2020-04-21 Jose Blanchet , Yang Kang , Fan Zhang , Zhangyi Hu

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

We consider the distributionally robust optimization (DRO) problem with spectral risk-based uncertainty set and $f$-divergence penalty. This formulation includes common risk-sensitive learning objectives such as regularized condition…

Machine Learning · Statistics 2023-10-24 Ronak Mehta , Vincent Roulet , Krishna Pillutla , Zaid Harchaoui

In recent years, Wasserstein Distributionally Robust Optimization (DRO) has garnered substantial interest for its efficacy in data-driven decision-making under distributional uncertainty. However, limited research has explored the…

Machine Learning · Computer Science 2025-10-01 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi

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…

Optimization and Control · Mathematics 2022-03-25 Yair Carmon , Danielle Hausler

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

Decision-makers often encounter uncertainty, and the distribution of uncertain parameters plays a crucial role in making reliable decisions. However, complete information is rarely available. The sample average approximation (SAA) approach…

Optimization and Control · Mathematics 2025-08-27 Ziliang Jin , Jianqiang Cheng , Daniel Zhuoyu Long , Kai Pan

Quick response is a widely adopted strategy to mitigate overproduction in the manufacturing industry, yet recent research reveals a counter-intuitive paradox: while it reduces waste from unsold finished goods, it may incentivize firms to…

Optimization and Control · Mathematics 2026-02-11 Panayotis P. Papavassilopoulos , Grani A. Hanasusanto , Yijie Wang

We consider the problem of offline reinforcement learning with model-based control, whose goal is to learn a dynamics model from the experience replay and obtain a pessimism-oriented agent under the learned model. Current model-based…

Machine Learning · Computer Science 2021-09-16 Ruizhen Liu , Dazhi Zhong , Zhicong Chen

Distributionally robust optimization (DRO) has become a powerful framework for estimation under uncertainty, offering strong out-of-sample performance and principled regularization. In this paper, we propose a DRO-based method for linear…

Machine Learning · Statistics 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

The study of robustness has received much attention due to its inevitability in data-driven settings where many systems face uncertainty. One such example of concern is Bayesian Optimization (BO), where uncertainty is multi-faceted, yet…

Machine Learning · Computer Science 2023-10-31 Hisham Husain , Vu Nguyen , Anton van den Hengel