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Real-world deployments routinely face distribution shifts, group imbalances, and adversarial perturbations, under which the traditional Empirical Risk Minimization (ERM) framework can degrade severely. Distributionally Robust Optimization…

机器学习 · 计算机科学 2026-02-19 Difei Xu , Meng Ding , Zebin Ma , Huanyi Xie , Youming Tao , Aicha Slaitane , Di Wang

Many existing transfer learning methods rely on leveraging information from source data that closely resembles the target data. However, this approach often overlooks valuable knowledge that may be present in different yet potentially…

机器学习 · 计算机科学 2023-09-14 Xin Xiong , Zijian Guo , Tianxi Cai

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 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

To address the needs of modeling uncertainty in sensitive machine learning applications, the setup of distributionally robust optimization (DRO) seeks good performance uniformly across a variety of tasks. The recent multi-distribution…

机器学习 · 统计学 2026-01-01 Rafael Hanashiro , Patrick Jaillet

The distributionally robust optimization (DRO)-based graph neural network methods improve recommendation systems' out-of-distribution (OOD) generalization by optimizing the model's worst-case performance. However, these studies fail to…

机器学习 · 计算机科学 2025-01-28 Chu Zhao , Enneng Yang , Yuliang Liang , Jianzhe Zhao , Guibing Guo , Xingwei Wang

Robustness to distributional shift is one of the key challenges of contemporary machine learning. Attaining such robustness is the goal of distributionally robust optimization, which seeks a solution to an optimization problem that is…

机器学习 · 统计学 2020-03-24 Johannes Kirschner , Ilija Bogunovic , Stefanie Jegelka , Andreas Krause

We leverage the duality between risk-averse and distributionally robust optimization (DRO) to devise a distributionally robust estimator that strictly outperforms the empirical average for all probability distributions with negative excess…

统计理论 · 数学 2024-06-21 Nikolas Koumpis , Dionysis Kalogerias

Distributionally robust optimization (DRO) is a widely used framework for optimizing objective functionals in the presence of both randomness and model-form uncertainty. A key step in the practical solution of many DRO problems is a…

最优化与控制 · 数学 2021-04-22 Jeremiah Birrell

The study of robustness has received much attention due to its inevitability in data-driven settings where many systems face uncertainty. One such example of concern is Bayesian Optimization (BO), where uncertainty is multi-faceted, yet…

机器学习 · 计算机科学 2023-10-31 Hisham Husain , Vu Nguyen , Anton van den Hengel

In this paper, we introduce a framework for contextual distributionally robust optimization (DRO) that considers the causal and continuous structure of the underlying distribution by developing interpretable and tractable decision rules…

机器学习 · 统计学 2026-04-03 Fenglin Zhang , Jie Wang

We present a novel framework for distributionally robust optimization (DRO), called cost-aware DRO (CADRO). The key idea of CADRO is to exploit the cost structure in the design of the ambiguity set to reduce conservatism. Particularly, the…

最优化与控制 · 数学 2023-05-17 Mathijs Schuurmans , Panagiotis Patrinos

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

最优化与控制 · 数学 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

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

In data-driven optimization, sample average approximation (SAA) is known to suffer from the so-called optimizer's curse that causes an over-optimistic evaluation of the solution performance. We argue that a special type of distributionallly…

最优化与控制 · 数学 2023-10-13 Zhenyuan Liu , Bart P. G. Van Parys , Henry Lam

Decision-makers often encounter uncertainty, and the distribution of uncertain parameters plays a crucial role in making reliable decisions. However, complete information is rarely available. The sample average approximation (SAA) approach…

最优化与控制 · 数学 2025-08-27 Ziliang Jin , Jianqiang Cheng , Daniel Zhuoyu Long , Kai Pan

Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

机器学习 · 计算机科学 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

This paper focuses on the contextual optimization problem where a decision is subject to some uncertain parameters and covariates that have some predictive power on those parameters are available before the decision is made. More…

最优化与控制 · 数学 2024-08-12 Zhaoen Li , Maoqi Liu , Zhi-Hai Zhang

We propose kernel distributionally robust optimization (Kernel DRO) using insights from the robust optimization theory and functional analysis. Our method uses reproducing kernel Hilbert spaces (RKHS) to construct a wide range of convex…

最优化与控制 · 数学 2021-06-28 Jia-Jie Zhu , Wittawat Jitkrittum , Moritz Diehl , Bernhard Schölkopf