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We propose combined allocation, assignment, sequencing, and scheduling problems under uncertainty involving multiple operation rooms (ORs), anesthesiologists, and surgeries, as well as methodologies for solving such problems. Specifically,…

最优化与控制 · 数学 2024-01-15 Man Yiu Tsang , Karmel S. Shehadeh , Frank E. Curtis , Beth Hochman , Tricia E. Brentjens

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…

A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

机器学习 · 计算机科学 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig

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…

最优化与控制 · 数学 2025-04-10 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

Distributionally robust optimization (DRO) incorporates robustness against uncertainty in the specification of probabilistic models. This paper focuses on mitigating the curse of dimensionality in data-driven DRO problems with optimal…

最优化与控制 · 数学 2023-11-01 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

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

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

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

We examine the scaling limit of multi-period distributionally robust optimization (DRO) problems via a semigroup approach. Each period involves a worst-case maximization over distributions in a Wasserstein ball around the transition…

最优化与控制 · 数学 2025-11-26 Max Nendel , Ariel Neufeld , Kyunghyun Park , Alessandro Sgarabottolo

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…

机器学习 · 计算机科学 2025-05-22 Haomin Bai , Dingzhi Yu , Shuai Li , Haipeng Luo , Lijun Zhang

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

As machine learning models are deployed ever more broadly, it becomes increasingly important that they are not only able to perform well on their training distribution, but also yield accurate predictions when confronted with distribution…

机器学习 · 计算机科学 2022-04-14 Paul Michel , Tatsunori Hashimoto , Graham Neubig

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…

最优化与控制 · 数学 2026-05-21 Qing Zhu , Xian Yu , Guzin Bayraksan

We investigate a stochastic program with expected value constraints, addressing the problem in a general context through Distributionally Robust Optimization (DRO) approach using Wasserstein distances, where the ambiguity set depends on the…

最优化与控制 · 数学 2023-04-18 Diego Fonseca , Mauricio Junca

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…

最优化与控制 · 数学 2025-01-28 Dimitri J. Papageorgiou

Recently, there has been a growing interest in distributionally robust optimization (DRO) as a principled approach to data-driven decision making. In this paper, we consider a distributionally robust two-stage stochastic optimization…

最优化与控制 · 数学 2020-12-07 Zhe Zhang , Shabbir Ahmed , Guanghui Lan

Intensity-modulated radiation therapy (IMRT) allows for the design of customized, highly-conformal treatments for cancer patients. Creating IMRT treatment plans, however, is a mathematically complex process, which is often tackled in…

最优化与控制 · 数学 2022-03-18 Danielle A. Ripsman , Thomas G. Purdie , Timothy C. Y. Chan , Houra Mahmoudzadeh

Many machine learning tasks involve subpopulation shift where the testing data distribution is a subpopulation of the training distribution. For such settings, a line of recent work has proposed the use of a variant of empirical risk…

机器学习 · 计算机科学 2021-06-14 Runtian Zhai , Chen Dan , J. Zico Kolter , Pradeep Ravikumar

It is essential to capture the true probability distribution of uncertain data in the distributionally robust optimization (DRO). The uncertain data presents multimodality in numerous application scenarios, in the sense that the probability…

最优化与控制 · 数学 2024-03-14 Yueyao Li , Chenglong Bao , Wenxun Xing

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…

机器学习 · 统计学 2021-08-23 Ruidi Chen , Ioannis Ch. Paschalidis