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We study a routing and appointment scheduling problem with uncertain service and travel times arising from home service practice. Specifically, given a set of customers within a service region that an operator needs to serve, we seek to…

最优化与控制 · 数学 2021-11-23 Man Yiu , Tsang , Karmel S. Shehadeh

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

We consider the problem of analyzing the probabilistic performance of first-order methods when solving convex optimization problems drawn from an unknown distribution only accessible through samples. By combining performance estimation…

最优化与控制 · 数学 2025-12-11 Jisun Park , Vinit Ranjan , Bartolomeo Stellato

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

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

We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the covariates is reduced to a finite data sample of their joint…

最优化与控制 · 数学 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

最优化与控制 · 数学 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

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

In this paper, we consider a distributionally robust resource planning model inspired by a real-world service industry problem. In this problem, there is a mixture of known demand and uncertain future demand. Prior to having full knowledge…

最优化与控制 · 数学 2022-07-07 Ben Black , Russell Ainslie , Trivikram Dokka , Christopher Kirkbride

As the complexity of modern control systems increases, it becomes challenging to derive an accurate model of the uncertainty that affects their dynamics. Wasserstein Distributionally Robust Optimization (DRO) provides a powerful framework…

系统与控制 · 电气工程与系统科学 2025-09-09 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

We consider decision-making problems under decision-dependent uncertainty (DDU), where the distribution of uncertain parameters depends on the decision variables and is only observable through a finite offline dataset. To address this…

最优化与控制 · 数学 2025-08-12 Chengrui Qu , Huiwen Jia , Pengcheng You

Data-driven distributionally robust optimization is a recently emerging paradigm aimed at finding a solution that is driven by sample data but is protected against sampling errors. An increasingly popular approach, known as Wasserstein…

最优化与控制 · 数学 2022-07-20 Jonathan Yu-Meng Li , Tiantian Mao

In recent years, Wasserstein Distributionally Robust Optimization (DRO) has garnered substantial interest for its efficacy in data-driven decision-making under distributional uncertainty. However, limited research has explored the…

机器学习 · 计算机科学 2025-10-01 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi

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

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

Distributionally robust optimization (DRO) is an effective approach for data-driven decision-making in the presence of uncertainty. Geometric uncertainty due to sampling or localized perturbations of data points is captured by Wasserstein…

机器学习 · 统计学 2023-11-10 Sloan Nietert , Ziv Goldfeld , Soroosh Shafiee

Distributionally robust optimization (DRO) has become a powerful framework for estimation under uncertainty, offering strong out-of-sample performance and principled regularization. In this paper, we propose a DRO-based method for linear…

机器学习 · 统计学 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

In problems that involve input parameter information gathered from multiple data sources with varying reliability, incorporating decision makers' trust on different sources in optimization models can potentially improve solution…

最优化与控制 · 数学 2026-02-27 Yanru Guo , Ruiwei Jiang , Siqian Shen

We consider statistical methods which invoke a min-max distributionally robust formulation to extract good out-of-sample performance in data-driven optimization and learning problems. Acknowledging the distributional uncertainty in learning…

统计理论 · 数学 2021-08-05 Jose Blanchet , Karthyek Murthy , Viet Anh Nguyen

We study distributionally robust online learning, where a risk-averse learner updates decisions sequentially to guard against worst-case distributions drawn from a Wasserstein ambiguity set centered at past observations. While this paradigm…

机器学习 · 计算机科学 2026-02-25 Guixian Chen , Salar Fattahi , Soroosh Shafiee
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