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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

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

Structuring ambiguity sets in Wasserstein-based distributionally robust optimization (DRO) can improve their statistical properties when the uncertainty consists of multiple independent components. The aim of this paper is to solve…

最优化与控制 · 数学 2025-04-10 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

机器学习 · 计算机科学 2025-11-11 Peilin Yang , Yu Ma

It is known that the set of perturbed data is key in robust optimization (RO) modelling. Distributionally robust optimization (DRO) is a methodology used for optimization problems affected by random parameters with uncertain probability…

最优化与控制 · 数学 2022-05-09 Yueyao Li , Wenxun Xing

Group distributionally robust optimization (GDRO) aims to develop models that perform well across $m$ distributions simultaneously. Existing GDRO algorithms can only process a fixed number of samples per iteration, either 1 or $m$, and…

机器学习 · 计算机科学 2025-05-22 Haomin Bai , Dingzhi Yu , Shuai Li , Haipeng Luo , Lijun Zhang

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…

Regularized estimators in the context of group variables have been applied successfully in model and feature selection in order to preserve interpretability. We formulate a Distributionally Robust Optimization (DRO) problem which recovers…

统计理论 · 数学 2017-05-12 Jose Blanchet , Yang Kang

Distributionally Robust Optimal Control (DROC) is a framework that enables robust control in a stochastic setting where the true disturbance distribution is unknown. Traditional DROC approaches require given ambiguity sets and KL divergence…

机器人学 · 计算机科学 2025-10-03 Rui Liu , Guangyao Shi , Pratap Tokekar

Distributionally robust optimization (DRO) incorporates robustness against uncertainty in the specification of probabilistic models. This paper focuses on mitigating the curse of dimensionality in data-driven DRO problems with optimal…

最优化与控制 · 数学 2023-11-01 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

Despite superior performance in many situations, deep neural networks are often vulnerable to adversarial examples and distribution shifts, limiting model generalization ability in real-world applications. To alleviate these problems,…

机器学习 · 计算机科学 2023-02-14 Hoang Phan , Trung Le , Trung Phung , Tuan Anh Bui , Nhat Ho , Dinh Phung

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 optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

最优化与控制 · 数学 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye

We study decision problems under uncertainty, where the decision-maker has access to $K$ data sources that carry {\em biased} information about the underlying risk factors. The biases are measured by the mismatch between the risk factor…

最优化与控制 · 数学 2024-09-18 Yves Rychener , Adrian Esteban-Perez , Juan M. Morales , Daniel Kuhn

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

We analyze convergence rates of stochastic optimization procedures for non-smooth convex optimization problems. By combining randomized smoothing techniques with accelerated gradient methods, we obtain convergence rates of stochastic…

最优化与控制 · 数学 2012-04-10 John C. Duchi , Peter L. Bartlett , Martin J. Wainwright

Stochastic programs where the uncertainty distribution must be inferred from noisy data samples are considered. The stochastic programs are approximated with distributionally-robust optimizations that minimize the worst-case expected cost…

最优化与控制 · 数学 2024-01-04 Farhad Farokhi

While traditional distributionally robust optimization (DRO) aims to minimize the maximal risk over a set of distributions, Agarwal and Zhang (2022) recently proposed a variant that replaces risk with excess risk. Compared to DRO, the new…

最优化与控制 · 数学 2024-05-29 Lijun Zhang , Haomin Bai , Wei-Wei Tu , Ping Yang , Yao Hu

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

Distributionally robust optimization (DRO) is a powerful tool for decision making under uncertainty. It is particularly appealing because of its ability to leverage existing data. However, many practical problems call for decision-making…

最优化与控制 · 数学 2022-04-04 Yuxiao Chen , Jip Kim , James Anderson