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Robust and distributionally robust optimization are modeling paradigms for decision-making under uncertainty where the uncertain parameters are only known to reside in an uncertainty set or are governed by any probability distribution from…

最优化与控制 · 数学 2023-07-21 Jianzhe Zhen , Daniel Kuhn , Wolfram Wiesemann

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…

机器学习 · 计算机科学 2022-12-12 Bhargavi Paranjape , Pradeep Dasigi , Vivek Srikumar , Luke Zettlemoyer , Hannaneh Hajishirzi

Machine learning algorithms minimizing average risk are susceptible to distributional shifts. Distributionally Robust Optimization (DRO) addresses this issue by optimizing the worst-case risk within an uncertainty set. However, DRO suffers…

机器学习 · 计算机科学 2023-11-10 Jiashuo Liu , Jiayun Wu , Tianyu Wang , Hao Zou , Bo Li , Peng Cui

We propose a distributionally robust approach to learning hyperparameters for first-order methods in convex optimization. Given a dataset of problem instances, we minimize a Wasserstein distributionally robust version of the performance…

机器学习 · 计算机科学 2026-05-08 Vinit Ranjan , Jisun Park , Bartolomeo Stellato

We study the problem of Distributionally Robust Constrained RL (DRC-RL), where the goal is to maximize the expected reward subject to environmental distribution shifts and constraints. This setting captures situations where training and…

机器学习 · 计算机科学 2024-06-25 Zhengfei Zhang , Kishan Panaganti , Laixi Shi , Yanan Sui , Adam Wierman , Yisong Yue

In this paper, we propose a new decomposition approach named the proximal primal dual algorithm (Prox-PDA) for smooth nonconvex linearly constrained optimization problems. The proposed approach is primal-dual based, where the primal step…

最优化与控制 · 数学 2016-04-05 Mingyi Hong

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

系统与控制 · 计算机科学 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

Stochastic compositional optimization (SCO) has attracted considerable attention because of its broad applicability to important real-world problems. However, existing works on SCO assume that the projection within a solution update is…

最优化与控制 · 数学 2025-05-27 Shuoguang Yang , Wei You , Zhe Zhang , Ethan X. Fang

We study distributionally robust optimization (DRO) problems with uncertainty sets consisting of high-dimensional random vectors that are close in the multivariate Wasserstein distance to a reference random vector. We give conditions when…

最优化与控制 · 数学 2026-01-30 Brandon Tam , Silvana M. Pesenti

Recently, a special case of precision matrix estimation based on a distributionally robust optimization (DRO) framework has been shown to be equivalent to the graphical lasso. From this formulation, a method for choosing the regularization…

统计方法学 · 统计学 2022-06-10 Chau Tran , Pedro Cisneros-Velarde , Sang-Yun Oh , Alexander Petersen

This paper introduces a novel approach to contextual stochastic optimization, integrating operations research and machine learning to address decision-making under uncertainty. Traditional methods often fail to leverage contextual…

机器学习 · 计算机科学 2025-05-09 Louis Bouvier , Thibault Prunet , Vincent Leclère , Axel Parmentier

Square-root (loss) regularized models have recently become popular in linear regression due to their nice statistical properties. Moreover, some of these models can be interpreted as the distributionally robust optimization counterparts of…

最优化与控制 · 数学 2023-10-06 Hong T. M. Chu , Kim-Chuan Toh , Yangjing Zhang

This paper presents an algorithmic study and complexity analysis for solving distributionally robust multistage convex optimization (DR-MCO). We generalize the usual consecutive dual dynamic programming (DDP) algorithm to DR-MCO and propose…

最优化与控制 · 数学 2024-01-05 Shixuan Zhang , Xu Andy Sun

This manuscript introduces the idea of using Distributionally Robust Optimization (DRO) for the Counterfactual Risk Minimization (CRM) problem. Tapping into a rich existing literature, we show that DRO is a principled tool for…

机器学习 · 统计学 2019-12-17 Louis Faury , Ugo Tanielian , Flavian Vasile , Elena Smirnova , Elvis Dohmatob

When training and evaluating machine learning models on a large number of tasks, it is important to not only look at average task accuracy -- which may be biased by easy or redundant tasks -- but also worst-case accuracy (i.e. the…

机器学习 · 计算机科学 2021-10-13 Paul Michel , Sebastian Ruder , Dani Yogatama

Based on the idea of randomized coordinate descent of $\alpha$-averaged operators, a randomized primal-dual optimization algorithm is introduced, where a random subset of coordinates is updated at each iteration. The algorithm builds upon a…

最优化与控制 · 数学 2015-10-01 Pascal Bianchi , Walid Hachem , Franck Iutzeler

The Fundamental Risk Quadrangle (FRQ) is a unified framework linking risk management, statistical estimation, and optimization. Distributionally robust optimization (DRO) based on $\varphi$-divergence minimizes the maximal expected loss,…

最优化与控制 · 数学 2024-12-11 Cheng Peng , Anton Malandii , Stan Uryasev

Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO), as the widely employed policy based reinforcement learning (RL) methods, are prone to converge to a sub-optimal solution as they limit the policy representation…

机器学习 · 计算机科学 2020-06-16 Jun Song , Chaoyue Zhao

We consider the problem of offline reinforcement learning with model-based control, whose goal is to learn a dynamics model from the experience replay and obtain a pessimism-oriented agent under the learned model. Current model-based…

机器学习 · 计算机科学 2021-09-16 Ruizhen Liu , Dazhi Zhong , Zhicong Chen

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

最优化与控制 · 数学 2022-05-04 Katherine Hendrickson , Matthew Hale
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