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Trustworthy machine learning aims at combating distributional uncertainties in training data distributions compared to population distributions. Typical treatment frameworks include the Bayesian approach, (min-max) distributionally robust…

机器学习 · 计算机科学 2025-05-05 Shixiong Wang , Haowei Wang , Xinke Li , Jean Honorio

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

Distributionally robust optimization (DRO) is a powerful framework for training robust models against data distribution shifts. This paper focuses on constrained DRO, which has an explicit characterization of the robustness level. Existing…

机器学习 · 统计学 2024-04-02 Qi Zhang , Yi Zhou , Ashley Prater-Bennette , Lixin Shen , Shaofeng Zou

Distributionally robust optimization (DRO) can improve the robustness and fairness of learning methods. In this paper, we devise stochastic algorithms for a class of DRO problems including group DRO, subpopulation fairness, and empirical…

机器学习 · 计算机科学 2025-02-03 Tasuku Soma , Khashayar Gatmiry , Sharut Gupta , Stefanie Jegelka

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 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) is a worst-case approach to decision making when there is model uncertainty. It is also well known that for certain uncertainty sets, DRO is approximated by a regularized nominal problem. We show…

最优化与控制 · 数学 2026-05-08 Jun-ya Gotoh , Michael Jong Kim , Andrew E. B. Lim

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…

最优化与控制 · 数学 2021-08-16 Shengyi He , Henry Lam

We develop and analyze algorithms for distributionally robust optimization (DRO) of convex losses. In particular, we consider group-structured and bounded $f$-divergence uncertainty sets. Our approach relies on an accelerated method that…

最优化与控制 · 数学 2022-03-25 Yair Carmon , Danielle Hausler

As machine learning models are deployed ever more broadly, it becomes increasingly important that they are not only able to perform well on their training distribution, but also yield accurate predictions when confronted with distribution…

机器学习 · 计算机科学 2022-04-14 Paul Michel , Tatsunori Hashimoto , Graham Neubig

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…

机器学习 · 统计学 2018-05-14 Ruidi Chen , Ioannis Ch. Paschalidis

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

最优化与控制 · 数学 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

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

We consider data-driven approaches that integrate a machine learning prediction model within distributionally robust optimization (DRO) given limited joint observations of uncertain parameters and covariates. Our framework is flexible in…

最优化与控制 · 数学 2022-05-26 Rohit Kannan , Güzin Bayraksan , James R. Luedtke

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

Square-root (loss) regularized models have recently become popular in linear regression due to their nice statistical properties. Moreover, some of these models can be interpreted as the distributionally robust optimization counterparts of…

最优化与控制 · 数学 2023-10-06 Hong T. M. Chu , Kim-Chuan Toh , Yangjing Zhang

We consider a minimax problem motivated by distributionally robust optimization (DRO) when the worst-case distribution is continuous, leading to significant computational challenges due to the infinite-dimensional nature of the optimization…

机器学习 · 统计学 2024-12-31 Linglingzhi Zhu , Yao Xie

We develop a Distributionally Robust Optimization (DRO) formulation for Multiclass Logistic Regression (MLR), which could tolerate data contaminated by outliers. The DRO framework uses a probabilistic ambiguity set defined as a ball of…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Ruidi Chen , Boran Hao , Ioannis Ch. Paschalidis

We develop a Distributionally Robust Optimization (DRO) formulation for Multiclass Logistic Regression (MLR), which could tolerate data contaminated by outliers. The DRO framework uses a probabilistic ambiguity set defined as a ball of…

机器学习 · 统计学 2023-03-28 Ruidi Chen , Boran Hao , Ioannis Paschalidis

We consider the distributionally robust optimization (DRO) problem with spectral risk-based uncertainty set and $f$-divergence penalty. This formulation includes common risk-sensitive learning objectives such as regularized condition…

机器学习 · 统计学 2023-10-24 Ronak Mehta , Vincent Roulet , Krishna Pillutla , Zaid Harchaoui