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We study the regret guarantee for risk-sensitive reinforcement learning (RSRL) via distributional reinforcement learning (DRL) methods. In particular, we consider finite episodic Markov decision processes whose objective is the entropic…

Machine Learning · Computer Science 2024-01-26 Hao Liang , Zhi-Quan Luo

One challenge in the optimization and control of societal systems is to handle the unknown and uncertain user behavior. This paper focuses on residential demand response (DR) and proposes a closed-loop learning scheme to address these…

Systems and Control · Electrical Eng. & Systems 2020-03-24 Yingying Li , Qinran Hu , Na Li

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…

Machine Learning · Computer Science 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Distributionally Robust Optimization (DRO) provides a framework for decision-making under distributional uncertainty, yet its effectiveness can be compromised by outliers in the training data. This paper introduces a principled approach to…

Machine Learning · Computer Science 2025-11-04 Shuyao Li , Ilias Diakonikolas , Jelena Diakonikolas

Distributionally Robust Optimization (DRO) has enabled to prove the equivalence between robustness and regularization in classification and regression, thus providing an analytical reason why regularization generalizes well in statistical…

Optimization and Control · Mathematics 2020-07-15 Esther Derman , Shie Mannor

We consider data-driven approaches that integrate a machine learning prediction model within distributionally robust optimization (DRO) given limited joint observations of uncertain parameters and covariates. Our framework is flexible in…

Optimization and Control · Mathematics 2022-05-26 Rohit Kannan , Güzin Bayraksan , James R. Luedtke

Distributionally robust offline reinforcement learning (RL) aims to find a policy that performs the best under the worst environment within an uncertainty set using an offline dataset collected from a nominal model. While recent advances in…

Machine Learning · Computer Science 2025-01-07 Ruiquan Huang , Yingbin Liang , Jing Yang

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…

Optimization and Control · Mathematics 2025-10-07 Qing Jin , Angelos Georghiou , Phebe Vayanos , Grani A. Hanasusanto

Three major challenges in reinforcement learning are the complex dynamical systems with large state spaces, the costly data acquisition processes, and the deviation of real-world dynamics from the training environment deployment. To…

Machine Learning · Computer Science 2024-06-04 Shyam Sundhar Ramesh , Pier Giuseppe Sessa , Yifan Hu , Andreas Krause , Ilija Bogunovic

In this paper, we propose a practical online method for solving a class of distributionally robust optimization (DRO) with non-convex objectives, which has important applications in machine learning for improving the robustness of neural…

Machine Learning · Computer Science 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

We study the distribution of regret in stochastic multi-armed bandits and episodic reinforcement learning through a unified framework. We formalize a distributional regret bound as a probabilistic guarantee that holds uniformly over all…

Machine Learning · Computer Science 2026-05-08 Harin Lee , Min-hwan Oh

We introduce robustness in \textit{restless multi-armed bandits} (RMABs), a popular model for constrained resource allocation among independent stochastic processes (arms). Nearly all RMAB techniques assume stochastic dynamics are precisely…

Machine Learning · Computer Science 2022-06-23 Jackson A. Killian , Lily Xu , Arpita Biswas , Milind Tambe

Model-based reinforcement learning (RL) is considered to be a promising approach to reduce the sample complexity that hinders model-free RL. However, the theoretical understanding of such methods has been rather limited. This paper…

Machine Learning · Computer Science 2021-02-16 Yuping Luo , Huazhe Xu , Yuanzhi Li , Yuandong Tian , Trevor Darrell , Tengyu Ma

Motivated by practical applications where stable long-term performance is critical-such as robotics, operations research, and healthcare-we study the problem of distributionally robust (DR) average-reward reinforcement learning. We propose…

Machine Learning · Computer Science 2026-02-03 Zijun Chen , Shengbo Wang , Nian Si

Many existing transfer learning methods rely on leveraging information from source data that closely resembles the target data. However, this approach often overlooks valuable knowledge that may be present in different yet potentially…

Machine Learning · Computer Science 2023-09-14 Xin Xiong , Zijian Guo , Tianxi Cai

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,…

Machine Learning · Computer Science 2024-11-21 Lijun Zhang , Haomin Bai , Peng Zhao , Tianbao Yang , Zhi-Hua Zhou

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

Machine Learning · Computer Science 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

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…

Machine Learning · Computer Science 2026-02-19 Difei Xu , Meng Ding , Zebin Ma , Huanyi Xie , Youming Tao , Aicha Slaitane , Di Wang
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