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We consider decision-making problems under decision-dependent uncertainty (DDU), where the distribution of uncertain parameters depends on the decision variables and is only observable through a finite offline dataset. To address this…

最优化与控制 · 数学 2025-08-12 Chengrui Qu , Huiwen Jia , Pengcheng You

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…

机器学习 · 计算机科学 2023-03-13 Soumya Suvra Ghosal , Yixuan Li

Distributionally Robust Optimization (DRO) has been shown to provide a flexible framework for decision making under uncertainty and statistical estimation. For example, recent works in DRO have shown that popular statistical estimators can…

机器学习 · 统计学 2020-04-21 Jose Blanchet , Yang Kang , Fan Zhang , Zhangyi Hu

Distributionally robust optimization (DRO) has emerged as a powerful paradigm for reliable decision-making under uncertainty. This paper focuses on DRO with ambiguity sets defined via the Sinkhorn discrepancy: an entropy-regularized…

机器学习 · 统计学 2025-12-16 Jie Wang

Robust and stochastic optimal control problem (OCP) formulations allow a systematic treatment of uncertainty, but are typically associated with a high computational cost. The recently proposed zero-order robust optimization (zoRO) algorithm…

最优化与控制 · 数学 2023-11-09 Jonathan Frey , Yunfan Gao , Florian Messerer , Amon Lahr , Melanie Zeilinger , Moritz Diehl

Reliability-based design optimization (RBDO) is a methodology for designing systems and components under the consideration of probabilistic uncertainty. In practical engineering, the number of input data is often limited, which can damage…

最优化与控制 · 数学 2026-05-27 Takumi Fujiyama , Yoshihiro Kanno

Off-policy evaluation and learning are concerned with assessing a given policy and learning an optimal policy from offline data without direct interaction with the environment. Often, the environment in which the data are collected differs…

机器学习 · 计算机科学 2024-01-18 Yi Shen , Pan Xu , Michael M. Zavlanos

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

There are numerous industrial settings in which a decision maker must decide whether to enter into long-term contracts to guarantee price (and hence cash flow) stability or to participate in more volatile spot markets. In this paper, we…

最优化与控制 · 数学 2025-01-28 Dimitri J. Papageorgiou

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…

机器学习 · 计算机科学 2023-08-17 Qi Qi , Jiameng Lyu , Kung sik Chan , Er Wei Bai , Tianbao Yang

This paper studies the communication complexity of convex risk-averse optimization over a network. The problem generalizes the well-studied risk-neutral finite-sum distributed optimization problem and its importance stems from the need to…

最优化与控制 · 数学 2023-03-08 Guanghui Lan , Zhe Zhang

We propose two distributionally robust optimization (DRO) models for a mobile facility (MF) fleet sizing, routing, and scheduling problem (MFRSP) with time-dependent and random demand, as well as methodologies for solving these models.…

最优化与控制 · 数学 2022-02-23 Karmel S. Shehadeh

Distributionally robust stochastic optimization (DRSO) is an approach to optimization under uncertainty in which, instead of assuming that there is a known true underlying probability distribution, one hedges against a chosen set of…

最优化与控制 · 数学 2022-05-03 Rui Gao , Anton J. Kleywegt

In this work, we present an algorithmically tractable safe approximation of distributionally robust optimization (DRO) problems that contain univariate indicator functions. The latter appear in different applications, but render the model…

最优化与控制 · 数学 2026-01-22 Jana Dienstbier , Frauke Liers , Florian Rösel , Jan Rolfes

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

最优化与控制 · 数学 2023-09-06 Xunhao Wu , Jun Fu

Out-of-distribution (OOD) generalization is a challenging machine learning problem yet highly desirable in many high-stake applications. Existing methods suffer from overly pessimistic modeling with low generalization confidence. As…

机器学习 · 计算机科学 2024-06-10 Fengchun Qiao , Xi Peng

Two-stage risk-averse distributionally robust optimization (DRO) problems are ubiquitous across many engineering and business applications. Despite their promising resilience, two-stage DRO problems are generally computationally…

最优化与控制 · 数学 2024-12-24 Yue Lin , Daniel Zhuoyu Long , Viet Anh Nguyen , Jin Qi

Distributionally robust optimization is used to tackle decision making problems under uncertainty where the distribution of the uncertain data is ambiguous. Many ambiguity sets have been proposed for continuous uncertainty that build on…

最优化与控制 · 数学 2025-05-28 Karthik Natarajan , Divya Padmanabhan , Arjun Ramachandra

We consider the penalized distributionally robust optimization (DRO) problem with a closed, convex uncertainty set, a setting that encompasses learning using $f$-DRO and spectral/$L$-risk minimization. We present Drago, a stochastic…

机器学习 · 统计学 2025-02-12 Ronak Mehta , Jelena Diakonikolas , Zaid Harchaoui

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