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Although model-based reinforcement learning (RL) approaches are considered more sample efficient, existing algorithms are usually relying on sophisticated planning algorithm to couple tightly with the model-learning procedure. Hence the…

机器学习 · 计算机科学 2022-03-15 Xiaoyu Chen , Jiachen Hu , Lin F. Yang , Liwei Wang

The curse of dimensionality is a widely known issue in reinforcement learning (RL). In the tabular setting where the state space $\mathcal{S}$ and the action space $\mathcal{A}$ are both finite, to obtain a nearly optimal policy with…

机器学习 · 计算机科学 2022-10-28 Bingyan Wang , Yuling Yan , Jianqing Fan

This work considers the sample and computational complexity of obtaining an $\epsilon$-optimal policy in a discounted Markov Decision Process (MDP), given only access to a generative model. In this work, we study the effectiveness of the…

机器学习 · 计算机科学 2020-04-07 Alekh Agarwal , Sham Kakade , Lin F. Yang

We study the sample complexity of the plug-in approach for learning $\varepsilon$-optimal policies in average-reward Markov decision processes (MDPs) with a generative model. The plug-in approach constructs a model estimate then computes an…

机器学习 · 计算机科学 2025-02-12 Matthew Zurek , Yudong Chen

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…

机器学习 · 计算机科学 2023-10-03 Shengbo Wang , Jose Blanchet , Peter Glynn

This paper is concerned with offline reinforcement learning (RL), which learns using pre-collected data without further exploration. Effective offline RL would be able to accommodate distribution shift and limited data coverage. However,…

机器学习 · 统计学 2024-03-11 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi , Yuting Wei

We study the optimal sample complexity in large-scale Reinforcement Learning (RL) problems with policy space generalization, i.e. the agent has a prior knowledge that the optimal policy lies in a known policy space. Existing results show…

机器学习 · 计算机科学 2020-08-18 Wenlong Mou , Zheng Wen , Xi Chen

Reinforcement learning (RL) problems are fundamental in online decision-making and have been instrumental in finding an optimal policy for Markov decision processes (MDPs). Function approximations are usually deployed to handle large or…

机器学习 · 计算机科学 2025-05-20 Jiashuo Jiang , Yiming Zong , Yinyu Ye

Low-complexity models such as linear function representation play a pivotal role in enabling sample-efficient reinforcement learning (RL). The current paper pertains to a scenario with value-based linear representation, which postulates the…

机器学习 · 计算机科学 2021-10-19 Gen Li , Yuxin Chen , Yuejie Chi , Yuantao Gu , Yuting Wei

A common setting of reinforcement learning (RL) is a Markov decision process (MDP) in which the environment is a stochastic discrete-time dynamical system. Whereas MDPs are suitable in such applications as video-games or puzzles, physical…

机器人学 · 计算机科学 2022-11-29 Pavel Osinenko , Dmitrii Dobriborsci , Grigory Yaremenko , Georgiy Malaniya

The Robust Markov Decision Process (RMDP) framework focuses on designing control policies that are robust against the parameter uncertainties due to the mismatches between the simulator model and real-world settings. An RMDP problem is…

机器学习 · 计算机科学 2022-05-17 Kishan Panaganti , Dileep Kalathil

Reinforcement learning (RL) methods have been shown to be capable of learning intelligent behavior in rich domains. However, this has largely been done in simulated domains without adequate focus on the process of building the simulator. In…

机器学习 · 计算机科学 2019-10-24 Aditya Modi , Nan Jiang , Ambuj Tewari , Satinder Singh

In this paper we consider the problem of learning an $\epsilon$-optimal policy for a discounted Markov Decision Process (MDP). Given an MDP with $S$ states, $A$ actions, the discount factor $\gamma \in (0,1)$, and an approximation threshold…

机器学习 · 计算机科学 2020-12-25 Zihan Zhang , Yuan Zhou , Xiangyang Ji

One of the key approaches to save samples in reinforcement learning (RL) is to use knowledge from an approximate model such as its simulator. However, how much does an approximate model help to learn a near-optimal policy of the true…

机器学习 · 计算机科学 2020-07-15 Fei Feng , Wotao Yin , Lin F. Yang

Model-based reinforcement learning (RL), which finds an optimal policy using an empirical model, has long been recognized as one of the corner stones of RL. It is especially suitable for multi-agent RL (MARL), as it naturally decouples the…

机器学习 · 计算机科学 2023-08-10 Kaiqing Zhang , Sham M. Kakade , Tamer Başar , Lin F. Yang

We study the problem of Reinforcement Learning (RL) with linear function approximation, i.e. assuming the optimal action-value function is linear in a known $d$-dimensional feature mapping. Unfortunately, however, based on only this…

机器学习 · 计算机科学 2022-11-15 Zeyu Jia , Randy Jia , Dhruv Madeka , Dean P. Foster

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

Designing sample-efficient and computationally feasible reinforcement learning (RL) algorithms is particularly challenging in environments with large or infinite state and action spaces. In this paper, we advance this effort by presenting…

机器学习 · 计算机科学 2024-10-04 Zakaria Mhammedi

Model-based Reinforcement Learning (RL) is a popular learning paradigm due to its potential sample efficiency compared to model-free RL. However, existing empirical model-based RL approaches lack the ability to explore. This work studies a…

机器学习 · 计算机科学 2021-07-16 Yuda Song , Wen Sun

The practicality of reinforcement learning algorithms has been limited due to poor scaling with respect to the problem size, as the sample complexity of learning an $\epsilon$-optimal policy is $\tilde{\Omega}\left(|S||A|H^3 /…

机器学习 · 计算机科学 2023-06-12 Tyler Sam , Yudong Chen , Christina Lee Yu
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