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This paper proposes an analytical framework for modelling resource contention in multi-robot systems, where the travel times and task durations are uncertain. It uses several approximation methods to quickly and accurately calculate the…

多智能体系统 · 计算机科学 2020-03-17 Andrew W. Palmer , Andrew J. Hill , Steven J. Scheding

Two-stage adaptive robust optimization (ARO) is a powerful approach for planning under uncertainty, balancing first-stage decisions with recourse decisions made after uncertainty is realized. To account for uncertainty, modelers typically…

系统与控制 · 电气工程与系统科学 2025-04-10 Aron Brenner , Rahman Khorramfar , Jennifer Sun , Saurabh Amin

We present a computationally efficient framework, called $\texttt{FlowDRO}$, for solving flow-based distributionally robust optimization (DRO) problems with Wasserstein uncertainty sets while aiming to find continuous worst-case…

机器学习 · 计算机科学 2024-02-27 Chen Xu , Jonghyeok Lee , Xiuyuan Cheng , Yao Xie

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

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

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

Utility preference robust optimization (PRO) has recently been proposed to deal with optimal decision making problems where the decision maker's (DM) preference over gains and losses is ambiguous. In this paper, we take a step further to…

最优化与控制 · 数学 2024-03-11 Jian Hu , Dali Zhang , Huifu Xu , Sainan Zhang

The goal of this paper is to develop distributionally robust optimization (DRO) estimators, specifically for multidimensional Extreme Value Theory (EVT) statistics. EVT supports using semi-parametric models called max-stable distributions…

机器学习 · 统计学 2024-08-02 Patrick Kuiper , Ali Hasan , Wenhao Yang , Yuting Ng , Hoda Bidkhori , Jose Blanchet , Vahid Tarokh

In this paper, we introduce a framework for solving finite-horizon multistage optimization problems under uncertainty in the presence of auxiliary data. We assume the joint distribution of the uncertain quantities is unknown, but noisy…

机器学习 · 统计学 2019-04-29 Dimitris Bertsimas , Christopher McCord

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

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

The effects of treatments are often heterogeneous, depending on the observable characteristics, and it is necessary to exploit such heterogeneity to devise individualized treatment rules (ITRs). Existing estimation methods of such ITRs…

计量经济学 · 经济学 2022-08-09 Daido Kido

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…

最优化与控制 · 数学 2025-07-31 Yang Jiao , Kai Yang , Dongjin Song

This paper focuses on the contextual optimization problem where a decision is subject to some uncertain parameters and covariates that have some predictive power on those parameters are available before the decision is made. More…

最优化与控制 · 数学 2024-08-12 Zhaoen Li , Maoqi Liu , Zhi-Hai Zhang

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

最优化与控制 · 数学 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

In this paper, we introduce a framework for contextual distributionally robust optimization (DRO) that considers the causal and continuous structure of the underlying distribution by developing interpretable and tractable decision rules…

机器学习 · 统计学 2026-04-03 Fenglin Zhang , Jie Wang

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

机器学习 · 统计学 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

Tanker water systems play critical role in providing adequate service to meet potable water demands in the face of acute water crisis in many cities globally. Managing tanker movements among the supply and demand sides requires an efficient…

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

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…

统计方法学 · 统计学 2024-01-29 Jose Blanchet , Jiajin Li , Sirui Lin , Xuhui Zhang