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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…

机器学习 · 计算机科学 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

Distributionally robust optimisation (DRO) minimises the worst-case expected loss over an ambiguity set that can capture distributional shifts in out-of-sample environments. While Huber (linear-vacuous) contamination is a classical…

机器学习 · 统计学 2026-01-30 Mengqi Chen , Thomas B. Berrett , Theodoros Damoulas , Michele Caprio

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

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

Distributionally Robust Optimization (DRO) has been shown to provide a flexible framework for decision making under uncertainty and statistical estimation. For example, recent works in DRO have shown that popular statistical estimators can…

机器学习 · 统计学 2020-04-21 Jose Blanchet , Yang Kang , Fan Zhang , Zhangyi Hu

In this paper, we present an efficient algorithm for solving a class of chance constrained optimization under non-parametric uncertainty. Our algorithm is built on the possibility of representing arbitrary distributions as functions in…

机器人学 · 计算机科学 2018-11-26 Bharath Gopalakrishnan , Arun Kumar Singh , K. Madhava Krishna , Dinesh Manocha

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

We study distributionally robust optimization (DRO) problems where the ambiguity set is defined using the Wasserstein metric. We show that this class of DRO problems can be reformulated as semi-infinite programs. We give an exchange method…

最优化与控制 · 数学 2017-04-14 Fengqiao Luo , Sanjay Mehrotra

In contextual optimization, a decision-maker leverages contextual information, often referred to as covariates, to better resolve uncertainty and make informed decisions. In this paper, we examine the challenges of contextual…

最优化与控制 · 数学 2025-06-26 Tianyu Wang , Ningyuan Chen , Chun Wang

Wasserstein distributionally robust optimization (\textsf{WDRO}) is a popular model to enhance the robustness of machine learning with ambiguous data. However, the complexity of \textsf{WDRO} can be prohibitive in practice since solving its…

机器学习 · 计算机科学 2023-05-10 Ruomin Huang , Jiawei Huang , Wenjie Liu , Hu Ding

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

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

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

To ensure a successful bid while maximizing of profits, generation companies (GENCOs) need a self-scheduling strategy that can cope with a variety of scenarios. So distributionally robust opti-mization (DRO) is a good choice because that it…

最优化与控制 · 数学 2021-05-05 Linfeng Yang , Ying Yang , Guo Chen , Zhaoyang Dong

This paper studies a robust utility maximization problem for intractable claims under distributional ambiguity, where the distribution of the claim cannot be inferred from market information and its dependence with tradable assets is…

最优化与控制 · 数学 2026-04-17 Guohui Guan , Zongxia Liang , Xingjian Ma

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

Decision making under uncertainty is challenging since the data-generating process (DGP) is often unknown. Bayesian inference proceeds by estimating the DGP through posterior beliefs about the model's parameters. However, minimising the…

机器学习 · 统计学 2024-09-06 Charita Dellaporta , Patrick O'Hara , Theodoros Damoulas

We present a novel distributionally robust framework for dynamic programming that uses kernel methods to design feedback control policies. Specifically, we leverage kernel mean embedding to map the transition probabilities governing the…

系统与控制 · 电气工程与系统科学 2023-12-20 Licio Romao , Ashish R. Hota , Alessandro Abate

Distributionally Robust Optimization (DRO) is a popular framework for decision-making under uncertainty, but its adversarial nature can lead to overly conservative solutions. To address this, we study ex-ante Distributionally Robust Regret…

最优化与控制 · 数学 2025-04-22 Lukas-Benedikt Fiechtner , Jose Blanchet

Limiting failures of machine learning systems is of paramount importance for safety-critical applications. In order to improve the robustness of machine learning systems, Distributionally Robust Optimization (DRO) has been proposed as a…