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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…

Machine Learning · Statistics 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

Optimization and Control · Mathematics 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

Edge computing (EC) promises to deliver low-latency and ubiquitous computation to numerous devices at the network edge. This paper aims to jointly optimize edge node (EN) placement and resource allocation for an EC platform, considering…

Optimization and Control · Mathematics 2024-01-17 Jiaming Cheng , Duong Thuy Anh Nguyen , Duong Tung Nguyen

We study multistage distributionally robust optimization (DRO) to hedge against ambiguity in quantifying the underlying uncertainty of a problem. Recognizing that not all the realizations and scenario paths might have an "effect" on the…

Optimization and Control · Mathematics 2021-09-15 Hamed Rahimian , Guzin Bayraksan , Tito Homem-de-Mello

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…

Optimization and Control · Mathematics 2022-05-03 Rui Gao , Anton J. Kleywegt

Two-stage risk-averse distributionally robust optimization (DRO) problems are ubiquitous across many engineering and business applications. Despite their promising resilience, two-stage DRO problems are generally computationally…

Optimization and Control · Mathematics 2024-12-24 Yue Lin , Daniel Zhuoyu Long , Viet Anh Nguyen , Jin Qi

We study distributionally robust optimization (DRO) problems with uncertainty sets consisting of high-dimensional random vectors that are close in the multivariate Wasserstein distance to a reference random vector. We give conditions when…

Optimization and Control · Mathematics 2026-01-30 Brandon Tam , Silvana M. Pesenti

A large class of stochastic programs involve optimizing an expectation taken with respect to an underlying distribution that is unknown in practice. One popular approach to addressing the distributional uncertainty, known as the…

Optimization and Control · Mathematics 2017-08-30 Di Wu , Helin Zhu , Enlu Zhou

In this paper, we consider learning scenarios where the learned model is evaluated under an unknown test distribution which potentially differs from the training distribution (i.e. distribution shift). The learner has access to a family of…

Machine Learning · Computer Science 2022-02-14 Alekh Agarwal , Tong Zhang

Robust treatment planning algorithms for Intensity Modulated Proton Therapy (IMPT) and Intensity Modulated Radiation Therapy (IMRT) allow for uncertainty reduction in the delivered dose distributions through explicit inclusion of error…

Medical Physics · Physics 2025-10-15 Remo Cristoforetti , Jennifer Josephine Hardt , Niklas Wahl

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…

Machine Learning · Computer Science 2022-12-20 Yang Jiao , Kai Yang , Dongjin Song

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…

Optimization and Control · Mathematics 2021-08-16 Shengyi He , Henry Lam

We introduce a new framework, Bayesian Distributionally Robust Optimization (Bayesian-DRO), for data-driven stochastic optimization where the underlying distribution is unknown. Bayesian-DRO contrasts with most of the existing DRO…

Optimization and Control · Mathematics 2023-02-10 Alexander Shapiro , Enlu Zhou , Yifan Lin

Distribution shifts and minority subpopulations frequently undermine the reliability of deep neural networks trained using Empirical Risk Minimization (ERM). Distributionally Robust Optimization (DRO) addresses this by optimizing for the…

Machine Learning · Computer Science 2025-11-11 Aheer Sravon , Devdyuti Mazumder , Md. Ibrahim

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

Systems and Control · Computer Science 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

We study the problem of user-scheduling and resource allocation in distributed multi-user, multiple-input multiple-output (MIMO) networks implementing user-centric clustering and non-coherent transmission. We formulate a weighted sum-rate…

Information Theory · Computer Science 2021-02-08 Hussein A. Ammar , Raviraj Adve , Shahram Shahbazpanahi , Gary Boudreau , Kothapalli Srinivas

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…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

We present a Distributionally Robust Optimization (DRO) approach to estimate a robustified regression plane in a linear regression setting, when the observed samples are potentially contaminated with adversarially corrupted outliers. Our…

Machine Learning · Statistics 2018-05-14 Ruidi Chen , Ioannis Ch. Paschalidis

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…

Optimization and Control · Mathematics 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales

In this paper, we propose a practical online method for solving a class of distributionally robust optimization (DRO) with non-convex objectives, which has important applications in machine learning for improving the robustness of neural…

Machine Learning · Computer Science 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang
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