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Data-driven Distributionally Robust Optimization (DD-DRO) via optimal transport has been shown to encompass a wide range of popular machine learning algorithms. The distributional uncertainty size is often shown to correspond to the…

Machine Learning · Statistics 2021-05-12 Jose Blanchet , Yang Kang , Fan Zhang , Fei He , Zhangyi Hu

We propose a flexible scenario-based regularized Sample Average Approximation (SBR-SAA) framework for stochastic optimization. This work is motivated by challenges in standard Wasserstein Distributionally Robust Optimization (WDRO), where…

Optimization and Control · Mathematics 2025-11-21 Diego Fonseca , Mauricio Junca

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…

Optimization and Control · Mathematics 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

Modern machine learning models may be susceptible to learning spurious correlations that hold on average but not for the atypical group of samples. To address the problem, previous approaches minimize the empirical worst-group risk. Despite…

Machine Learning · Computer Science 2023-03-13 Soumya Suvra Ghosal , Yixuan Li

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…

Machine Learning · Statistics 2024-04-02 Qi Zhang , Yi Zhou , Ashley Prater-Bennette , Lixin Shen , Shaofeng Zou

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…

Optimization and Control · Mathematics 2025-04-22 Lukas-Benedikt Fiechtner , Jose Blanchet

In this paper we develop a Stochastic Gradient Langevin Dynamics (SGLD) algorithm tailored for solving a certain class of non-convex distributionally robust optimisation (DRO) problems. By deriving non-asymptotic convergence bounds, we…

Optimization and Control · Mathematics 2026-05-08 Ariel Neufeld , Matthew Ng Cheng En , Ying Zhang

We consider the problem of training a classification model with group annotated training data. Recent work has established that, if there is distribution shift across different groups, models trained using the standard empirical risk…

Machine Learning · Computer Science 2022-04-21 Vihari Piratla , Praneeth Netrapalli , Sunita Sarawagi

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…

The performance of machine learning (ML) models critically depends on the quality and representativeness of the training data. In applications with multiple heterogeneous data generating sources, standard ML methods often learn spurious…

With the capacity to capture high-order collaborative signals, Graph Neural Networks (GNNs) have emerged as powerful methods in Recommender Systems (RS). However, their efficacy often hinges on the assumption that training and testing data…

Information Retrieval · Computer Science 2024-02-22 Bohao Wang , Jiawei Chen , Changdong Li , Sheng Zhou , Qihao Shi , Yang Gao , Yan Feng , Chun Chen , Can Wang

Distributionally Robust Optimization (DRO), as a popular method to train robust models against distribution shift between training and test sets, has received tremendous attention in recent years. In this paper, we propose and analyze…

Machine Learning · Computer Science 2023-08-17 Qi Qi , Jiameng Lyu , Kung sik Chan , Er Wei Bai , Tianbao Yang

Models trained via empirical risk minimization (ERM) are known to rely on spurious correlations between labels and task-independent input features, resulting in poor generalization to distributional shifts. Group distributionally robust…

Machine Learning · Computer Science 2022-12-12 Bhargavi Paranjape , Pradeep Dasigi , Vivek Srikumar , Luke Zettlemoyer , Hannaneh Hajishirzi

The concepts of risk-aversion, chance-constrained optimization, and robust optimization have developed significantly over the last decade. Statistical learning community has also witnessed a rapid theoretical and applied growth by relying…

Optimization and Control · Mathematics 2022-10-25 Hamed Rahimian , Sanjay Mehrotra

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…

Optimization and Control · Mathematics 2022-03-25 Yair Carmon , Danielle Hausler

Seeking to improve model generalization, we consider a new approach based on distributionally robust learning (DRL) that applies stochastic gradient descent to the outer minimization problem. Our algorithm efficiently estimates the gradient…

Machine Learning · Statistics 2020-12-24 Soumyadip Ghosh , Mark Squillante

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to different samples. However, a significant gap exists between…

We study the problem of learning a single neuron under standard squared loss in the presence of arbitrary label noise and group-level distributional shifts, for a broad family of covariate distributions. Our goal is to identify a…

Machine Learning · Computer Science 2026-01-27 Guyang Cao , Shuyao Li , Sushrut Karmalkar , Jelena Diakonikolas

Group Relative Policy Optimization (GRPO) is highly effective for post-training autoregressive (AR) language models, yet its direct application to diffusion large language models (dLLMs) often triggers reward collapse. We identify two…

Machine Learning · Computer Science 2026-03-10 Jianyuan Zhong , Kaibo Wang , Ding Ding , Zijin Feng , Haoli Bai , Yang Xiang , Jiacheng Sun , Qiang Xu

Empirical risk minimization (ERM) and distributionally robust optimization (DRO) are popular approaches for solving stochastic optimization problems that appear in operations management and machine learning. Existing generalization error…

Optimization and Control · Mathematics 2023-09-26 Garud Iyengar , Henry Lam , Tianyu Wang