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Recently, (Blanchet, Kang, and Murhy 2016, and Blanchet, and Kang 2017) showed that several machine learning algorithms, such as square-root Lasso, Support Vector Machines, and regularized logistic regression, among many others, can be…

机器学习 · 统计学 2020-02-25 Jose Blanchet , Yang Kang , Fan Zhang , Karthyek Murthy

A novel data-driven stochastic robust optimization (DDSRO) framework is proposed for optimization under uncertainty leveraging labeled multi-class uncertainty data. Uncertainty data in large datasets are often collected from various…

机器学习 · 计算机科学 2019-04-04 Chao Ning , Fengqi You

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set,…

最优化与控制 · 数学 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

机器学习 · 计算机科学 2025-10-28 Jiaqi Wen , Jianyi Yang

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

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

Distributionally robust optimization (DRO) has attracted attention in machine learning due to its connections to regularization, generalization, and robustness. Existing work has considered uncertainty sets based on phi-divergences and…

机器学习 · 计算机科学 2019-05-28 Matthew Staib , Stefanie Jegelka

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…

Distributionally Robust Optimization (DRO) has enabled to prove the equivalence between robustness and regularization in classification and regression, thus providing an analytical reason why regularization generalizes well in statistical…

最优化与控制 · 数学 2020-07-15 Esther Derman , Shie Mannor

In recent years, two prominent paradigms have shaped distributionally robust optimization (DRO), modeling distributional ambiguity through $\phi$-divergences and Wasserstein distances, respectively. While the former focuses on ambiguity in…

最优化与控制 · 数学 2025-12-22 Jose Blanchet , Daniel Kuhn , Jiajin Li , Bahar Taskesen

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

机器学习 · 统计学 2020-07-21 John Duchi , Hongseok Namkoong

Distributionally robust optimization (DRO) provides a framework for training machine learning models that are able to perform well on a collection of related data distributions (the "uncertainty set"). This is done by solving a min-max…

机器学习 · 计算机科学 2021-04-01 Paul Michel , Tatsunori Hashimoto , Graham Neubig

To train machine learning models that are robust to distribution shifts in the data, distributionally robust optimization (DRO) has been proven very effective. However, the existing approaches to learning a distributionally robust model…

机器学习 · 计算机科学 2022-03-21 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Amin Karbasi

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

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) provides a framework for decision-making under distributional uncertainty, yet its effectiveness can be compromised by outliers in the training data. This paper introduces a principled approach to…

机器学习 · 计算机科学 2025-11-04 Shuyao Li , Ilias Diakonikolas , Jelena Diakonikolas

Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

最优化与控制 · 数学 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

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

We consider optimal transport based distributionally robust optimization (DRO) problems with locally strongly convex transport cost functions and affine decision rules. Under conventional convexity assumptions on the underlying loss…

最优化与控制 · 数学 2021-04-27 Jose Blanchet , Karthyek Murthy , Fan Zhang

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

机器学习 · 计算机科学 2026-02-10 Jiaqi Wen , Jianyi Yang
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