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We prove new upper and lower bounds for sample complexity of finding an $\epsilon$-optimal policy of an infinite-horizon average-reward Markov decision process (MDP) given access to a generative model. When the mixing time of the…

机器学习 · 计算机科学 2021-06-15 Yujia Jin , Aaron Sidford

The goal of this paper is to investigate distributed temporal difference (TD) learning for a networked multi-agent Markov decision process. The proposed approach is based on distributed optimization algorithms, which can be interpreted as…

机器学习 · 计算机科学 2025-05-14 Han-Dong Lim , Donghwan Lee

The continuous nature of belief states in POMDPs presents significant computational challenges in learning the optimal policy. In this paper, we consider an approach that solves a Partially Observable Reinforcement Learning (PORL) problem…

机器学习 · 计算机科学 2025-10-15 Ameya Anjarlekar , Rasoul Etesami , R Srikant

In this study, we derive Probably Approximately Correct (PAC) bounds on the asymptotic sample-complexity for RL within the infinite-horizon Markov Decision Process (MDP) setting that are sharper than those in existing literature. The…

机器学习 · 计算机科学 2025-07-17 Mohit Prashant , Arvind Easwaran

We consider the reinforcement learning problem for the constrained Markov decision process (CMDP), which plays a central role in satisfying safety or resource constraints in sequential learning and decision-making. In this problem, we are…

机器学习 · 计算机科学 2025-11-19 Jiashuo Jiang , Yinyu Ye

We consider the problem of controlling a Markov decision process (MDP) with a large state space, so as to minimize average cost. Since it is intractable to compete with the optimal policy for large scale problems, we pursue the more modest…

最优化与控制 · 数学 2014-02-28 Yasin Abbasi-Yadkori , Peter L. Bartlett , Alan Malek

A Markov Decision Process (MDP) is a popular model for reinforcement learning. However, its commonly used assumption of stationary dynamics and rewards is too stringent and fails to hold in adversarial, nonstationary, or multi-agent…

机器学习 · 计算机科学 2019-08-22 Tiancheng Yu , Suvrit Sra

To overcome the curses of dimensionality and modeling of Dynamic Programming (DP) methods to solve Markov Decision Process (MDP) problems, Reinforcement Learning (RL) methods are adopted in practice. Contrary to traditional RL algorithms…

机器学习 · 计算机科学 2021-08-24 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

We propose a general framework for entropy-regularized average-reward reinforcement learning in Markov decision processes (MDPs). Our approach is based on extending the linear-programming formulation of policy optimization in MDPs to…

机器学习 · 计算机科学 2017-05-23 Gergely Neu , Anders Jonsson , Vicenç Gómez

We study the estimation of risk-sensitive policies in reinforcement learning problems defined by a Markov Decision Process (MDPs) whose state and action spaces are countably finite. Prior efforts are predominately afflicted by computational…

机器学习 · 统计学 2020-03-02 Junyu Zhang , Amrit Singh Bedi , Mengdi Wang , Alec Koppel

We develop several provably efficient model-free reinforcement learning (RL) algorithms for infinite-horizon average-reward Markov Decision Processes (MDPs). We consider both online setting and the setting with access to a simulator. In the…

机器学习 · 计算机科学 2023-06-29 Zihan Zhang , Qiaomin Xie

This paper proposes a computationally tractable algorithm for learning infinite-horizon average-reward linear Markov decision processes (MDPs) and linear mixture MDPs under the Bellman optimality condition. While guaranteeing computational…

机器学习 · 计算机科学 2024-09-25 Woojin Chae , Dabeen Lee

We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

机器学习 · 计算机科学 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

Safe policy improvement (SPI) is an offline reinforcement learning problem in which a new policy that reliably outperforms the behavior policy with high confidence needs to be computed using only a dataset and the behavior policy. Markov…

人工智能 · 计算机科学 2025-08-20 Kasper Engelen , Guillermo A. Pérez , Marnix Suilen

This paper studies the policy mirror descent (PMD) method, which is a general policy optimization framework in reinforcement learning and can cover a wide range of policy gradient methods by specifying difference mirror maps. Existing…

最优化与控制 · 数学 2026-01-01 Wenye Li , Hongxu Chen , Jiacai Liu , Ke Wei

We study reinforcement learning by combining recent advances in regularized linear programming formulations with the classical theory of stochastic approximation. Motivated by the challenge of designing algorithms that leverage off-policy…

最优化与控制 · 数学 2026-04-15 Axel Friedrich Wolter , Tobias Sutter

This paper proposes a formal approach to online learning and planning for agents operating in a priori unknown, time-varying environments. The proposed method computes the maximally likely model of the environment, given the observations…

机器学习 · 计算机科学 2021-02-09 Melkior Ornik , Ufuk Topcu

We study safe reinforcement learning in finite-horizon linear mixture constrained Markov decision processes (CMDPs) with adversarial rewards under full-information feedback and an unknown transition kernel. We propose a primal-dual policy…

机器学习 · 计算机科学 2026-03-31 Kihyun Yu , Seoungbin Bae , Dabeen Lee

We study reward-free reinforcement learning (RL) with linear function approximation, where the agent works in two phases: (1) in the exploration phase, the agent interacts with the environment but cannot access the reward; and (2) in the…

机器学习 · 计算机科学 2024-02-15 Junkai Zhang , Weitong Zhang , Quanquan Gu

Learning optimal resource allocation policies in wireless systems can be effectively achieved by formulating finite dimensional constrained programs which depend on system configuration, as well as the adopted learning parameterization. The…

系统与控制 · 电气工程与系统科学 2020-12-02 Dionysios S. Kalogerias , Mark Eisen , George J. Pappas , Alejandro Ribeiro