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In several realistic situations, an interactive learning agent can practice and refine its strategy before going on to be evaluated. For instance, consider a student preparing for a series of tests. She would typically take a few practice…

Machine Learning · Computer Science 2017-06-08 Sudeep Raja Putta , Theja Tulabandhula

In safety-critical applications of reinforcement learning such as healthcare and robotics, it is often desirable to optimize risk-sensitive objectives that account for tail outcomes rather than expected reward. We prove the first regret…

Machine Learning · Computer Science 2022-10-12 O. Bastani , Y. J. Ma , E. Shen , W. Xu

In this paper, we study the problem of regret minimization for episodic Reinforcement Learning (RL) both in the model-free and the model-based setting. We focus on learning with general function classes and general model classes, and we…

Machine Learning · Computer Science 2022-03-04 Grigoris Velegkas , Zhuoran Yang , Amin Karbasi

We study episodic reinforcement learning in non-stationary linear (a.k.a. low-rank) Markov Decision Processes (MDPs), i.e, both the reward and transition kernel are linear with respect to a given feature map and are allowed to evolve either…

Machine Learning · Computer Science 2021-12-28 Ahmed Touati , Pascal Vincent

We study regret minimization in non-episodic factored Markov decision processes (FMDPs), where all existing algorithms make the strong assumption that the factored structure of the FMDP is known to the learner in advance. In this paper, we…

Machine Learning · Computer Science 2021-10-12 Aviv Rosenberg , Yishay Mansour

We study the reinforcement learning (RL) problem in a constrained Markov decision process (CMDP), where an agent explores the environment to maximize the expected cumulative reward while satisfying a single constraint on the expected total…

Reinforcement learning algorithms typically assume rewards to be sampled from light-tailed distributions, such as Gaussian or bounded. However, a wide variety of real-world systems generate rewards that follow heavy-tailed distributions. We…

Machine Learning · Computer Science 2021-02-26 Vincent Zhuang , Yanan Sui

We present the first gap-dependent analysis of regret and communication cost for on-policy federated $Q$-Learning in tabular episodic finite-horizon Markov decision processes (MDPs). Existing FRL methods focus on worst-case scenarios,…

Machine Learning · Statistics 2025-09-19 Haochen Zhang , Zhong Zheng , Lingzhou Xue

We consider episodic reinforcement learning in reward-mixing Markov decision processes (RMMDPs): at the beginning of every episode nature randomly picks a latent reward model among $M$ candidates and an agent interacts with the MDP…

Machine Learning · Computer Science 2022-10-07 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

We consider the optimal sample complexity theory of tabular reinforcement learning (RL) for maximizing the infinite horizon discounted reward in a Markov decision process (MDP). Optimal worst-case complexity results have been developed for…

Machine Learning · Computer Science 2023-10-03 Shengbo Wang , Jose Blanchet , Peter Glynn

We study episodic reinforcement learning under unknown adversarial corruptions in both the rewards and the transition probabilities of the underlying system. We propose new algorithms which, compared to the existing results in (Lykouris et…

Machine Learning · Computer Science 2021-03-09 Yifang Chen , Simon S. Du , Kevin Jamieson

We investigate an infinite-horizon average reward Markov Decision Process (MDP) with delayed, composite, and partially anonymous reward feedback. The delay and compositeness of rewards mean that rewards generated as a result of taking an…

Machine Learning · Computer Science 2023-08-29 Washim Uddin Mondal , Vaneet Aggarwal

We present the first finite time global convergence analysis of policy gradient in the context of infinite horizon average reward Markov decision processes (MDPs). Specifically, we focus on ergodic tabular MDPs with finite state and action…

Machine Learning · Computer Science 2024-03-12 Navdeep Kumar , Yashaswini Murthy , Itai Shufaro , Kfir Y. Levy , R. Srikant , Shie Mannor

Reinforcement learning with function approximation has recently achieved tremendous results in applications with large state spaces. This empirical success has motivated a growing body of theoretical work proposing necessary and sufficient…

Machine Learning · Computer Science 2022-07-05 Daniel Kane , Sihan Liu , Shachar Lovett , Gaurav Mahajan

We study the problem of online learning in a class of Markov decision processes known as linearly solvable MDPs. In the stationary version of this problem, a learner interacts with its environment by directly controlling the state…

Machine Learning · Computer Science 2017-06-07 Gergely Neu , Vicenç Gómez

We consider model-based reinforcement learning in finite Markov De- cision Processes (MDPs), focussing on so-called optimistic strategies. In MDPs, optimism can be implemented by carrying out extended value it- erations under a constraint…

Machine Learning · Computer Science 2011-09-22 Sarah Filippi , Olivier Cappé , Aurélien Garivier

Hierarchical Reinforcement Learning (HRL) approaches have shown successful results in solving a large variety of complex, structured, long-horizon problems. Nevertheless, a full theoretical understanding of this empirical evidence is…

Machine Learning · Computer Science 2025-02-05 Gianluca Drappo , Alberto Maria Metelli , Marcello Restelli

This paper gives the first polynomial-time algorithm for tabular Markov Decision Processes (MDP) that enjoys a regret bound \emph{independent on the planning horizon}. Specifically, we consider tabular MDP with $S$ states, $A$ actions, a…

Machine Learning · Computer Science 2022-06-17 Zihan Zhang , Xiangyang Ji , Simon S. Du

The problem of selecting the right state-representation in a reinforcement learning problem is considered. Several models (functions mapping past observations to a finite set) of the observations are given, and it is known that for at least…

Machine Learning · Computer Science 2013-02-12 Odalric-Ambrym Maillard , Rémi Munos , Daniil Ryabko

Sequential decision making, commonly formalized as optimization of a Markov Decision Process, is a key challenge in artificial intelligence. Two successful approaches to MDP optimization are reinforcement learning and planning, which both…

Machine Learning · Computer Science 2022-04-01 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker
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