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Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

机器学习 · 计算机科学 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

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…

概率论 · 数学 2025-09-30 Yifan Jiang

This paper investigates group distributionally robust optimization (GDRO) with the goal of learning a model that performs well over $m$ different distributions. First, we formulate GDRO as a stochastic convex-concave saddle-point problem,…

机器学习 · 计算机科学 2024-11-21 Lijun Zhang , Haomin Bai , Peng Zhao , Tianbao Yang , Zhi-Hua Zhou

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

We are interested in solving convex optimization problems with large numbers of constraints. Randomized algorithms, such as random constraint sampling, have been very successful in giving nearly optimal solutions to such problems. In this…

最优化与控制 · 数学 2016-11-29 William B. Haskell , Yu Pengqian

In recent years, Wasserstein Distributionally Robust Optimization (DRO) has garnered substantial interest for its efficacy in data-driven decision-making under distributional uncertainty. However, limited research has explored the…

机器学习 · 计算机科学 2025-10-01 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi

We study two-stage distributionally robust optimization (DRO) problems with decision-dependent information discovery (DDID) wherein (a portion of) the uncertain parameters are revealed only if an (often costly) investment is made in the…

最优化与控制 · 数学 2025-10-07 Qing Jin , Angelos Georghiou , Phebe Vayanos , Grani A. Hanasusanto

We propose a Distributionally Robust Optimization (DRO) formulation with a Wasserstein-based uncertainty set for selecting grouped variables under perturbations on the data for both linear regression and classification problems. The…

机器学习 · 统计学 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis

We provide a general method to convert a "primal" black-box algorithm for solving regularized convex-concave minimax optimization problems into an algorithm for solving the associated dual maximin optimization problem. Our method adds…

最优化与控制 · 数学 2024-12-05 Yair Carmon , Arun Jambulapati , Liam O'Carroll , Aaron Sidford

While traditional distributionally robust optimization (DRO) aims to minimize the maximal risk over a set of distributions, Agarwal and Zhang (2022) recently proposed a variant that replaces risk with excess risk. Compared to DRO, the new…

最优化与控制 · 数学 2024-05-29 Lijun Zhang , Haomin Bai , Wei-Wei Tu , Ping Yang , Yao Hu

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

机器学习 · 计算机科学 2022-12-20 Yang Jiao , Kai Yang , Dongjin Song

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…

最优化与控制 · 数学 2023-11-01 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

This paper is devoted to the design of efficient primal-dual algorithm (PDA) for solving convex optimization problems with known saddle-point structure. We present a new PDA with larger acceptable range of parameters and correction, which…

最优化与控制 · 数学 2019-12-04 Xiaokai Chang , Sanyang Liu

Overparameterized neural networks can be highly accurate on average on an i.i.d. test set yet consistently fail on atypical groups of the data (e.g., by learning spurious correlations that hold on average but not in such groups).…

机器学习 · 计算机科学 2020-04-03 Shiori Sagawa , Pang Wei Koh , Tatsunori B. Hashimoto , Percy Liang

Proximal splitting algorithms are well suited to solving large-scale nonsmooth optimization problems, in particular those arising in machine learning. We propose a new primal-dual algorithm, in which the dual update is randomized;…

最优化与控制 · 数学 2023-03-08 Laurent Condat , Peter Richtárik

A robust-to-dynamics optimization (RDO) problem is an optimization problem specified by two pieces of input: (i) a mathematical program (an objective function $f:\mathbb{R}^n\rightarrow\mathbb{R}$ and a feasible set…

最优化与控制 · 数学 2023-11-27 Amir Ali Ahmadi , Oktay Gunluk

We consider empirical risk minimization of linear predictors with convex loss functions. Such problems can be reformulated as convex-concave saddle point problems, and thus are well suitable for primal-dual first-order algorithms. However,…

最优化与控制 · 数学 2017-03-09 Jialei Wang , Lin Xiao

Distributionally robust optimal control (DROC) is gaining interest. This study presents a reformulation method for discrete DROC (DDROC) problems to design optimal control policies under a worst-case distributional uncertainty. The…

最优化与控制 · 数学 2025-10-22 Yuma Shida , Yuji Ito

We present a Distributionally Robust Optimization (DRO) approach to estimate a robustified regression plane in a linear regression setting, when the observed samples are potentially contaminated with adversarially corrupted outliers. Our…

机器学习 · 统计学 2018-05-14 Ruidi Chen , Ioannis Ch. Paschalidis

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

最优化与控制 · 数学 2025-07-31 Yang Jiao , Kai Yang , Dongjin Song