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This paper is concerned with the sample efficiency of reinforcement learning, assuming access to a generative model (or simulator). We first consider $\gamma$-discounted infinite-horizon Markov decision processes (MDPs) with state space…

机器学习 · 计算机科学 2025-03-18 Gen Li , Yuting Wei , Yuejie Chi , Yuxin Chen

Linear Temporal Logic (LTL) is widely used to specify high-level objectives for system policies, and it is highly desirable for autonomous systems to learn the optimal policy with respect to such specifications. However, learning the…

机器学习 · 计算机科学 2023-10-26 Daqian Shao , Marta Kwiatkowska

A fundamental question in the theory of reinforcement learning is: suppose the optimal $Q$-function lies in the linear span of a given $d$ dimensional feature mapping, is sample-efficient reinforcement learning (RL) possible? The recent and…

机器学习 · 计算机科学 2021-10-22 Yuanhao Wang , Ruosong Wang , Sham M. Kakade

Offline reinforcement learning (RL) aims to find an optimal policy for Markov decision processes (MDPs) using a pre-collected dataset. In this work, we revisit the linear programming (LP) reformulation of Markov decision processes for…

机器学习 · 计算机科学 2024-12-11 Asuman Ozdaglar , Sarath Pattathil , Jiawei Zhang , Kaiqing Zhang

Consider a Markov decision process (MDP) that admits a set of state-action features, which can linearly express the process's probabilistic transition model. We propose a parametric Q-learning algorithm that finds an approximate-optimal…

机器学习 · 计算机科学 2019-06-07 Lin F. Yang , Mengdi Wang

In reward-free reinforcement learning (RL), an agent explores the environment first without any reward information, in order to achieve certain learning goals afterwards for any given reward. In this paper we focus on reward-free RL under…

机器学习 · 计算机科学 2023-03-21 Yuan Cheng , Ruiquan Huang , Jing Yang , Yingbin Liang

Model-free reinforcement learning (RL) algorithms, such as Q-learning, directly parameterize and update value functions or policies without explicitly modeling the environment. They are typically simpler, more flexible to use, and thus more…

机器学习 · 计算机科学 2018-07-11 Chi Jin , Zeyuan Allen-Zhu , Sebastien Bubeck , Michael I. Jordan

Reinforcement Learning (RL) has demonstrated tremendous empirical success across numerous challenging domains. However, we lack a strong theoretical understanding of the statistical complexity of RL in environments with large state spaces,…

机器学习 · 计算机科学 2025-06-03 Gene Li

We consider the problem of learning the optimal action-value function in the discounted-reward Markov decision processes (MDPs). We prove a new PAC bound on the sample-complexity of model-based value iteration algorithm in the presence of…

机器学习 · 计算机科学 2012-07-03 Mohammad Gheshlaghi Azar , Remi Munos , Bert Kappen

We study the sample complexity of obtaining an $\epsilon$-optimal policy in \emph{Robust} discounted Markov Decision Processes (RMDPs), given only access to a generative model of the nominal kernel. This problem is widely studied in the…

机器学习 · 计算机科学 2024-06-07 Pierre Clavier , Erwan Le Pennec , Matthieu Geist

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

Sample inefficiency is a long-lasting problem in reinforcement learning (RL). The state-of-the-art estimates the optimal action values while it usually involves an extensive search over the state-action space and unstable optimization.…

机器学习 · 计算机科学 2019-11-27 Kaixiang Lin , Jiayu Zhou

We study the problem of deployment efficient reinforcement learning (RL) with linear function approximation under the \emph{reward-free} exploration setting. This is a well-motivated problem because deploying new policies is costly in…

机器学习 · 计算机科学 2023-02-23 Dan Qiao , Yu-Xiang Wang

While reinforcement learning (RL) methods that learn an internal model of the environment have the potential to be more sample efficient than their model-free counterparts, learning to model raw observations from high dimensional sensors…

机器学习 · 计算机科学 2023-06-27 Raj Ghugare , Homanga Bharadhwaj , Benjamin Eysenbach , Sergey Levine , Ruslan Salakhutdinov

Reinforcement learning (RL) is empirically successful in complex nonlinear Markov decision processes (MDPs) with continuous state spaces. By contrast, the majority of theoretical RL literature requires the MDP to satisfy some form of linear…

机器学习 · 计算机科学 2021-06-16 Dhruv Malik , Aldo Pacchiano , Vishwak Srinivasan , Yuanzhi Li

Many physical systems have underlying safety considerations that require that the policy employed ensures the satisfaction of a set of constraints. The analytical formulation usually takes the form of a Constrained Markov Decision Process…

机器学习 · 计算机科学 2021-03-03 Aria HasanzadeZonuzy , Archana Bura , Dileep Kalathil , Srinivas Shakkottai

As a paradigm for sequential decision making in unknown environments, reinforcement learning (RL) has received a flurry of attention in recent years. However, the explosion of model complexity in emerging applications and the presence of…

机器学习 · 统计学 2025-07-22 Yuejie Chi , Yuxin Chen , Yuting Wei

Inverse reinforcement learning (IRL) is the task of finding a reward function that generates a desired optimal policy for a given Markov Decision Process (MDP). This paper develops an information-theoretic lower bound for the sample…

机器学习 · 计算机科学 2021-07-07 Abi Komanduru , Jean Honorio

A central issue lying at the heart of online reinforcement learning (RL) is data efficiency. While a number of recent works achieved asymptotically minimal regret in online RL, the optimality of these results is only guaranteed in a…

机器学习 · 计算机科学 2025-04-30 Zihan Zhang , Yuxin Chen , Jason D. Lee , Simon S. Du

Reward-free reinforcement learning (RL) is a framework which is suitable for both the batch RL setting and the setting where there are many reward functions of interest. During the exploration phase, an agent collects samples without using…

机器学习 · 计算机科学 2020-06-22 Ruosong Wang , Simon S. Du , Lin F. Yang , Ruslan Salakhutdinov