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In this paper, we propose a practical online method for solving a class of distributionally robust optimization (DRO) with non-convex objectives, which has important applications in machine learning for improving the robustness of neural…

Machine Learning · Computer Science 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

We review distributionally robust optimization (DRO), a principled approach for constructing statistical estimators that hedge against the impact of deviations in the expected loss between the training and deployment environments. Many…

Methodology · Statistics 2024-01-29 Jose Blanchet , Jiajin Li , Sirui Lin , Xuhui Zhang

Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

Machine Learning · Computer Science 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

In this paper, we develop a two-stage data-driven approach to address the adjustable robust optimization problem, where the uncertainty set is adjustable to manage infeasibility caused by significant or poorly quantified uncertainties. In…

Optimization and Control · Mathematics 2025-05-29 Xiaoxing Ren , Alessio Moreschini , Zhongda Chu , Yulong Gao , Thomas Parisini

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

We consider optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

Optimization and Control · Mathematics 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye

In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, starting from a concrete min-max distributionally robust…

Optimization and Control · Mathematics 2022-03-29 Camilo Garcia Trillos , Nicolas Garcia Trillos

Few-shot learning requires models to generalize under limited supervision while remaining robust to distribution shifts. Existing Sinkhorn Distributionally Robust Optimization (DRO) methods provide theoretical guarantees but rely on a fixed…

Machine Learning · Statistics 2026-02-17 Haixiang Sun , Andrew L. Liu

This paper proposes a novel approach to construct data-driven online solutions to optimization problems (P) subject to a class of distributionally uncertain dynamical systems. The introduced framework allows for the simultaneous learning of…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Dan Li , Dariush Fooladivanda , Sonia Martinez

Despite superior performance in many situations, deep neural networks are often vulnerable to adversarial examples and distribution shifts, limiting model generalization ability in real-world applications. To alleviate these problems,…

Machine Learning · Computer Science 2023-02-14 Hoang Phan , Trung Le , Trung Phung , Tuan Anh Bui , Nhat Ho , Dinh Phung

In order to protect the environment and address fossil fuel scarcity, renewable energy is increasingly used for power generation. However, due to the uncertainties it brings to electricity production, deterministic optimization is no longer…

Optimization and Control · Mathematics 2022-12-13 Shuhan Lyu

Constructing uncertainty sets as unions of multiple subsets has emerged as an effective approach for creating compact and flexible uncertainty representations in data-driven robust optimization (RO). This paper focuses on two separate…

Optimization and Control · Mathematics 2025-02-18 Yun Li , Neil Yorke-Smith , Tamas Keviczky

Out-of-distribution (OOD) generalization is a challenging machine learning problem yet highly desirable in many high-stake applications. Existing methods suffer from overly pessimistic modeling with low generalization confidence. As…

Machine Learning · Computer Science 2024-06-10 Fengchun Qiao , Xi Peng

We study two-stage distributionally robust optimization (DRO) problems with decision-dependent information discovery (DDID) wherein (a portion of) the uncertain parameters are revealed only if an (often costly) investment is made in the…

Optimization and Control · Mathematics 2025-10-07 Qing Jin , Angelos Georghiou , Phebe Vayanos , Grani A. Hanasusanto

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…

Optimization and Control · Mathematics 2025-04-10 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

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

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

Recent deep models for solving routing problems always assume a single distribution of nodes for training, which severely impairs their cross-distribution generalization ability. In this paper, we exploit group distributionally robust…

Machine Learning · Computer Science 2022-02-16 Yuan Jiang , Yaoxin Wu , Zhiguang Cao , Jie Zhang

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 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