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Data-driven Distributionally Robust Optimization (DD-DRO) via optimal transport has been shown to encompass a wide range of popular machine learning algorithms. The distributional uncertainty size is often shown to correspond to the…

机器学习 · 统计学 2021-05-12 Jose Blanchet , Yang Kang , Fan Zhang , Fei He , Zhangyi Hu

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 heating, ventilation and air condition (HVAC) system consumes the most energy in commercial buildings, consisting over 60% of total energy usage in the U.S. Flexible HVAC system setpoint scheduling could potentially save building energy…

最优化与控制 · 数学 2021-03-11 Guanyu Tian , Qun Zhou , Samy Faddel , Wenyi Wang

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…

机器学习 · 计算机科学 2024-01-18 Yi Shen , Pan Xu , Michael M. Zavlanos

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

最优化与控制 · 数学 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

Distributionally Robust Optimization (DRO) provides a framework for decision-making under distributional uncertainty, yet its effectiveness can be compromised by outliers in the training data. This paper introduces a principled approach to…

机器学习 · 计算机科学 2025-11-04 Shuyao Li , Ilias Diakonikolas , Jelena Diakonikolas

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…

Distributionally robust optimization (DRO)-based robust adaptive beamforming (RAB) enables enhanced robustness against model uncertainties, such as steering vector mismatches and interference-plus-noise covariance matrix estimation errors.…

信号处理 · 电气工程与系统科学 2025-06-03 Kiarash Hassas Irani , Sergiy A. Vorobyov , Yongwei Huang

We consider a real-world chemotherapy scheduling template design problem, where we cluster patient types into groups and find a representative time-slot duration for each group to accommodate all patient types assigned to that group, aiming…

最优化与控制 · 数学 2025-10-14 Qing Zhu , Xian Yu , Yu-Li Huang

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

We consider the problem of optimizing locations of distribution centers (DCs) and plans for distributing resources such as test kits and vaccines, under spatiotemporal uncertainties of disease spread and demand for the resources. We aim to…

最优化与控制 · 数学 2022-07-19 Beste Basciftci , Xian Yu , Siqian Shen

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

Distributionally robust stochastic optimization (DRSO) is an approach to optimization under uncertainty in which, instead of assuming that there is a known true underlying probability distribution, one hedges against a chosen set of…

最优化与控制 · 数学 2022-05-03 Rui Gao , Anton J. Kleywegt

Distributionally robust stochastic optimization (DRSO) is a framework for decision-making problems under certainty, which finds solutions that perform well for a chosen set of probability distributions. Many different approaches for…

最优化与控制 · 数学 2017-01-17 Rui Gao , Anton J. Kleywegt

This paper considers appointment scheduling in a setting in which at every client arrival the schedule of all future clients can be adapted. Starting our analysis with an explicit treatment of the case of exponentially distributed service…

概率论 · 数学 2023-05-17 Roshan Mahes , Michel Mandjes , Marko Boon , Peter Taylor

Distributionally robust optimization (DRO) is an effective framework for controlling real-world systems with various uncertainties, typically modeled using distributional uncertainty balls. However, DRO problems often involve infinitely…

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

We consider stochastic programs where the distribution of the uncertain parameters is only observable through a finite training dataset. Using the Wasserstein metric, we construct a ball in the space of (multivariate and non-discrete)…

最优化与控制 · 数学 2017-06-14 Peyman Mohajerin Esfahani , Daniel Kuhn

Many decision problems in science, engineering and economics are affected by uncertain parameters whose distribution is only indirectly observable through samples. The goal of data-driven decision-making is to learn a decision from finitely…

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

We propose a Distributionally Robust Optimization (DRO) formulation with a Wasserstein-based uncertainty set for selecting grouped variables under perturbations on the data for both linear regression and classification problems. The…

机器学习 · 统计学 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis