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Distributionally robust optimization (DRO) has emerged as a powerful paradigm for reliable decision-making under uncertainty. This paper focuses on DRO with ambiguity sets defined via the Sinkhorn discrepancy: an entropy-regularized…

机器学习 · 统计学 2025-12-16 Jie Wang

The performance of machine learning (ML) models critically depends on the quality and representativeness of the training data. In applications with multiple heterogeneous data generating sources, standard ML methods often learn spurious…

This paper presents a novel algorithmic study with extensive numerical experiments of distributionally robust multistage convex optimization (DR-MCO). Following the previous work on dual dynamic programming (DDP) algorithmic framework for…

最优化与控制 · 数学 2025-11-24 Shixuan Zhang , Xu Andy Sun

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

机器人学 · 计算机科学 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Distributionally robust optimization (DRO) can improve the robustness and fairness of learning methods. In this paper, we devise stochastic algorithms for a class of DRO problems including group DRO, subpopulation fairness, and empirical…

机器学习 · 计算机科学 2025-02-03 Tasuku Soma , Khashayar Gatmiry , Sharut Gupta , Stefanie Jegelka

In this study we analyze linear mixed-integer programming problems, in which the distribution of the cost vector is only observable through a finite training data set. In contrast to the related studies, we assume that the number of random…

最优化与控制 · 数学 2022-05-20 Sergey S. Ketkov , Andrei S. Shilov

Autonomous Mobility-on-Demand (AMoD) services offer an opportunity for improving passenger service while reducing pollution and energy consumption through effective vehicle coordination. A primary challenge in the autonomous fleets…

最优化与控制 · 数学 2025-07-08 Xinling Li , Xiaotong Guo , Qingyi Wang , Gioele Zardini , Jinhua Zhao

We establish a connection between distributionally robust optimization (DRO) and classical robust statistics. We demonstrate that this connection arises naturally in the context of estimation under data corruption, where the goal is to…

最优化与控制 · 数学 2024-10-21 Gabriel Chan , Bart Van Parys , Amine Bennouna

In network congestion games, system operators often utilize latency models, estimated from real-world traffic flow and travel time data, to design monetary incentives which steer equilibrium user behaviors towards lowering system-wide…

系统与控制 · 电气工程与系统科学 2026-04-21 Chih-Yuan Chiu , Sarah H. Q. Li , Bryce L. Ferguson

This study addresses the challenge of noise in training datasets for Direct Preference Optimization (DPO), a method for aligning Large Language Models (LLMs) with human preferences. We categorize noise into pointwise noise, which includes…

机器学习 · 计算机科学 2025-04-21 Junkang Wu , Yuexiang Xie , Zhengyi Yang , Jiancan Wu , Jiawei Chen , Jinyang Gao , Bolin Ding , Xiang Wang , Xiangnan He

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…

最优化与控制 · 数学 2022-04-04 Yuxiao Chen , Jip Kim , James Anderson

Distributionally robust optimal control (DROC) is gaining interest. This study presents a reformulation method for discrete DROC (DDROC) problems to design optimal control policies under a worst-case distributional uncertainty. The…

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

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…

机器学习 · 计算机科学 2023-10-31 Hisham Husain , Vu Nguyen , Anton van den Hengel

This paper studies adaptive distributionally robust dispatch (DRD) of the multi-energy microgrid under supply and demand uncertainties. A Wasserstein ambiguity set is constructed to support data-driven decision-making. By fully leveraging…

最优化与控制 · 数学 2025-04-15 Xunhang Sun , Xiaoyu Cao , Bo Zeng , Miaomiao Li , Xiaohong Guan , Tamer Başar

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,…

机器学习 · 统计学 2025-05-07 Charita Dellaporta , Patrick O'Hara , Theodoros Damoulas

Wasserstein distributionally robust optimization (DRO) has recently achieved empirical success for various applications in operations research and machine learning, owing partly to its regularization effect. Although connection between…

机器学习 · 计算机科学 2020-11-02 Rui Gao , Xi Chen , Anton J. Kleywegt

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…

最优化与控制 · 数学 2026-02-11 Panayotis P. Papavassilopoulos , Grani A. Hanasusanto , Yijie Wang

Federated learning (FL) enables collaborative model training without direct data sharing, but its performance can degrade significantly in the presence of data distribution perturbations. Distributionally robust optimization (DRO) provides…

机器学习 · 计算机科学 2025-09-30 Zifan Wang , Xinlei Yi , Xenia Konti , Michael M. Zavlanos , Karl H. Johansson

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…

机器学习 · 计算机科学 2023-09-14 Xin Xiong , Zijian Guo , Tianxi Cai

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