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A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

Machine Learning · Computer Science 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig

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…

Optimization and Control · Mathematics 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

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) 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,…

Optimization and Control · Mathematics 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

Distributionally robust optimisation (DRO) minimises the worst-case expected loss over an ambiguity set that can capture distributional shifts in out-of-sample environments. While Huber (linear-vacuous) contamination is a classical…

Machine Learning · Statistics 2026-01-30 Mengqi Chen , Thomas B. Berrett , Theodoros Damoulas , Michele Caprio

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…

Machine Learning · Computer Science 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…

Optimization and Control · Mathematics 2023-11-01 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

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…

Machine Learning · Computer Science 2026-02-10 Jiaqi Wen , Jianyi 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

Learning invariant representations is an important requirement when training machine learning models that are driven by spurious correlations in the datasets. These spurious correlations, between input samples and the target labels, wrongly…

Machine Learning · Computer Science 2022-01-12 Vishnu Suresh Lokhande , Kihyuk Sohn , Jinsung Yoon , Madeleine Udell , Chen-Yu Lee , Tomas Pfister

Spurious correlations that lead models to correct predictions for the wrong reasons pose a critical challenge for robust real-world generalization. Existing research attributes this issue to group imbalance and addresses it by maximizing…

Machine Learning · Computer Science 2025-12-02 Miaoyun Zhao , Chenrong Li , Qiang Zhang

Spurious correlation caused by subgroup underrepresentation has received increasing attention as a source of bias that can be perpetuated by deep neural networks (DNNs). Distributionally robust optimization has shown success in addressing…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Nilesh Kumar , Ruby Shrestha , Zhiyuan Li , Linwei Wang

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…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

Machine learning models are known to learn spurious correlations, i.e., features having strong relations with class labels but no causal relation. Relying on those correlations leads to poor performance in the data groups without these…

Machine Learning · Computer Science 2026-04-28 Phuong Quynh Le , Jörg Schlötterer , Christin Seifert

This paper proposes a novel approach to construct data-driven online solutions to optimization problems (P) subject to a class of distributionally uncertain dynamical systems. The introduced framework allows for the simultaneous learning of…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Dan Li , Dariush Fooladivanda , Sonia Martinez

Deep neural networks often learn and rely on spurious correlations, i.e., superficial associations between non-causal features and the targets. For instance, an image classifier may identify camels based on the desert backgrounds. While it…

Machine Learning · Computer Science 2025-07-22 Wenqian Ye , Guangtao Zheng , Aidong Zhang

Machine learning algorithms with empirical risk minimization are vulnerable under distributional shifts due to the greedy adoption of all the correlations found in training data. There is an emerging literature on tackling this problem by…

Machine Learning · Computer Science 2022-11-22 Jiashuo Liu , Zheyan Shen , Peng Cui , Linjun Zhou , Kun Kuang , Bo Li

Deep learning models achieve strong performance across various domains but often rely on spurious correlations, making them vulnerable to distribution shifts. This issue is particularly severe in subpopulation shift scenarios, where models…

Machine Learning · Computer Science 2026-03-03 Subeen Park , Joowang Kim , Hakyung Lee , Sunjae Yoo , Kyungwoo Song

This monograph develops a comprehensive statistical learning framework that is robust to (distributional) perturbations in the data using Distributionally Robust Optimization (DRO) under the Wasserstein metric. Beginning with fundamental…

Machine Learning · Statistics 2021-08-23 Ruidi Chen , Ioannis Ch. Paschalidis

Spurious correlations in training data often lead to robustness issues since models learn to use them as shortcuts. For example, when predicting whether an object is a cow, a model might learn to rely on its green background, so it would do…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Raghav Mehta , Vítor Albiero , Li Chen , Ivan Evtimov , Tamar Glaser , Zhiheng Li , Tal Hassner
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