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Performative prediction aims to model scenarios where predictive outcomes subsequently influence the very systems they target. The pursuit of a performative optimum (PO) -- minimizing performative risk -- is generally reliant on modeling of…

Machine Learning · Computer Science 2025-02-11 Songkai Xue , Yuekai Sun

We develop an analytical synthesis that bridges data-driven Distributionally Robust Optimization (DRO) and Economic Decision Theory under Ambiguity (DTA). By reinterpreting standard regularization and DRO techniques as data-driven…

Machine Learning · Statistics 2025-02-27 Nicola Bariletto , Khai Nguyen , Nhat Ho

Uncertainty sets are at the heart of robust optimization (RO) because they play a key role in determining the RO models' tractability, robustness, and conservativeness. Different types of uncertainty sets have been proposed that model…

Optimization and Control · Mathematics 2021-07-13 Meysam Cheramin , Richard Li-Yang Chen , Jianqiang Cheng , Ali Pinar

We study the causal distributionally robust optimization (DRO) in both discrete- and continuous- time settings. The framework captures model uncertainty, with potential models penalized in function of their adapted Wasserstein distance to a…

Probability · Mathematics 2025-05-29 Yifan Jiang , Jan Obloj

Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

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…

Machine Learning · Statistics 2020-03-24 Johannes Kirschner , Ilija Bogunovic , Stefanie Jegelka , Andreas Krause

We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

Machine Learning · Computer Science 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

Elicitable functionals and (strictly) consistent scoring functions are of interest due to their utility of determining (uniquely) optimal forecasts, and thus the ability to effectively backtest predictions. However, in practice, assuming…

Methodology · Statistics 2026-03-18 Kathleen E. Miao , Silvana M. Pesenti

The reliability of machine learning systems critically assumes that the associations between features and labels remain similar between training and test distributions. However, unmeasured variables, such as confounders, break this…

Machine Learning · Computer Science 2020-08-17 Megha Srivastava , Tatsunori Hashimoto , Percy Liang

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. It is assumed that the pre-change distribution is known (accurately estimated), while the only information about the…

Statistics Theory · Mathematics 2023-09-29 Liyan Xie , Yuchen Liang , Venugopal V. Veeravalli

This paper studies distributionally robust regret-optimal (DRRO) control with purified output feedback for linear systems subject to additive disturbances and measurement noise. These uncertainties (including the initial system state) are…

Optimization and Control · Mathematics 2025-11-21 Shuhao Yan , Carsten W. Scherer

Empirical risk minimization, a cornerstone in machine learning, is often hindered by the Optimizer's Curse stemming from discrepancies between the empirical and true data-generating distributions.To address this challenge, the robust…

Machine Learning · Computer Science 2024-08-20 Haojie Yan , Minglong Zhou , Jiayi Guo

We study the distributionally robust optimization (DRO) in a dynamic context where the model uncertainty is captured by penalizing potential models in function of their adapted Wasserstein distance to a given reference model. We consider…

Probability · Mathematics 2025-09-30 Yifan Jiang

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…

Optimization and Control · Mathematics 2025-10-22 Yuma Shida , Yuji Ito

Training machine learning and statistical models often involves optimizing a data-driven risk criterion. The risk is usually computed with respect to the empirical data distribution, but this may result in poor and unstable out-of-sample…

Machine Learning · Statistics 2024-11-11 Nicola Bariletto , Nhat Ho

Conformal prediction provides a powerful framework for constructing prediction intervals with finite-sample guarantees, yet its robustness under distribution shifts remains a significant challenge. This paper addresses this limitation by…

Machine Learning · Statistics 2025-05-20 Liviu Aolaritei , Zheyu Oliver Wang , Julie Zhu , Michael I. Jordan , Youssef Marzouk

Offline reinforcement learning aims to learn from pre-collected datasets without active exploration. This problem faces significant challenges, including limited data availability and distributional shifts. Existing approaches adopt a…

Machine Learning · Computer Science 2024-10-01 Yue Wang , Jinjun Xiong , Shaofeng Zou

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

Optimization and Control · Mathematics 2020-09-22 Polina Alexeenko , Eilyan Bitar

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

This paper focuses on solving a data-driven distributionally robust optimization problem over a network of agents. The agents aim to minimize the worst-case expected cost computed over a Wasserstein ambiguity set that is centered at the…

Optimization and Control · Mathematics 2022-08-23 Ashish Cherukuri , Alireza Zolanvari , Goran Banjac , Ashish R. Hota