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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…

Model Predictive Control (MPC) is widely recognized for its ability to explicitly handle system constraints. In practice, system states are often affected by disturbances with unknown distributions. While robust MPC guarantees constraint…

系统与控制 · 电气工程与系统科学 2026-03-11 Weijiang Zheng , Jiayi Huang , Bing Zhu

Integrative analysis of multiple datasets for estimating optimal individualized treatment rules (ITRs) can enhance decision efficiency. A central challenge is posterior shift, wherein the conditional distribution of potential outcomes given…

机器学习 · 统计学 2026-03-09 Wenhai Cui , Wen Su , Xingqiu Zhao

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…

最优化与控制 · 数学 2022-05-26 Rohit Kannan , Güzin Bayraksan , James R. Luedtke

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

Distributionally Robust Optimization (DRO) is a worst-case approach to decision making when there is model uncertainty. It is also well known that for certain uncertainty sets, DRO is approximated by a regularized nominal problem. We show…

最优化与控制 · 数学 2026-05-08 Jun-ya Gotoh , Michael Jong Kim , Andrew E. B. Lim

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

To address the needs of modeling uncertainty in sensitive machine learning applications, the setup of distributionally robust optimization (DRO) seeks good performance uniformly across a variety of tasks. The recent multi-distribution…

机器学习 · 统计学 2026-01-01 Rafael Hanashiro , Patrick Jaillet

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…

最优化与控制 · 数学 2025-02-18 Yun Li , Neil Yorke-Smith , Tamas Keviczky

Decision making under uncertainty is challenging since the data-generating process (DGP) is often unknown. Bayesian inference proceeds by estimating the DGP through posterior beliefs about the model's parameters. However, minimising the…

机器学习 · 统计学 2024-09-06 Charita Dellaporta , Patrick O'Hara , Theodoros Damoulas

Wasserstein distributionally robust optimization (\textsf{WDRO}) is a popular model to enhance the robustness of machine learning with ambiguous data. However, the complexity of \textsf{WDRO} can be prohibitive in practice since solving its…

机器学习 · 计算机科学 2023-05-10 Ruomin Huang , Jiawei Huang , Wenjie Liu , Hu Ding

Distributionally robust optimization is used to tackle decision making problems under uncertainty where the distribution of the uncertain data is ambiguous. Many ambiguity sets have been proposed for continuous uncertainty that build on…

最优化与控制 · 数学 2025-05-28 Karthik Natarajan , Divya Padmanabhan , Arjun Ramachandra

Distributionally robust optimization (DRO) is a worst-case framework for stochastic optimization under uncertainty that has drawn fast-growing studies in recent years. When the underlying probability distribution is unknown and observed…

最优化与控制 · 数学 2021-08-16 Shengyi He , Henry Lam

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

机器学习 · 计算机科学 2022-12-20 Yang Jiao , Kai Yang , Dongjin Song

We propose two distributionally robust optimization (DRO) models for a mobile facility (MF) fleet sizing, routing, and scheduling problem (MFRSP) with time-dependent and random demand, as well as methodologies for solving these models.…

最优化与控制 · 数学 2022-02-23 Karmel S. Shehadeh

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…

机器学习 · 计算机科学 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

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…

最优化与控制 · 数学 2023-05-17 Mathijs Schuurmans , Panagiotis Patrinos

We develop a Distributionally Robust Optimization (DRO) formulation for Multiclass Logistic Regression (MLR), which could tolerate data contaminated by outliers. The DRO framework uses a probabilistic ambiguity set defined as a ball of…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Ruidi Chen , Boran Hao , Ioannis Ch. Paschalidis

We develop a Distributionally Robust Optimization (DRO) formulation for Multiclass Logistic Regression (MLR), which could tolerate data contaminated by outliers. The DRO framework uses a probabilistic ambiguity set defined as a ball of…

机器学习 · 统计学 2023-03-28 Ruidi Chen , Boran Hao , Ioannis Paschalidis

Inspired by its success for their continuous counterparts, the standard approach to deal with mixed-integer recourse (MIR) models under distributional uncertainty is to use distributionally robust optimization (DRO). We argue, however, that…

最优化与控制 · 数学 2022-06-28 E. Ruben van Beesten , Ward Romeijnders , David P. Morton