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This article introduces the theory of offline reinforcement learning in large state spaces, where good policies are learned from historical data without online interactions with the environment. Key concepts introduced include expressivity…

机器学习 · 计算机科学 2025-10-07 Nan Jiang , Tengyang Xie

Value function estimation is an important task in reinforcement learning, i.e., prediction. The Boltzmann softmax operator is a natural value estimator and can provide several benefits. However, it does not satisfy the non-expansion…

机器学习 · 计算机科学 2019-09-10 Ling Pan , Qingpeng Cai , Qi Meng , Wei Chen , Longbo Huang , Tie-Yan Liu

Off-policy reinforcement learning aims to leverage experience collected from prior policies for sample-efficient learning. However, in practice, commonly used off-policy approximate dynamic programming methods based on Q-learning and…

机器学习 · 计算机科学 2019-11-26 Aviral Kumar , Justin Fu , George Tucker , Sergey Levine

The choice of the control frequency of a system has a relevant impact on the ability of reinforcement learning algorithms to learn a highly performing policy. In this paper, we introduce the notion of action persistence that consists in the…

机器学习 · 计算机科学 2020-07-14 Alberto Maria Metelli , Flavio Mazzolini , Lorenzo Bisi , Luca Sabbioni , Marcello Restelli

It is well known that the extension of Watkins' algorithm to general function approximation settings is challenging: does the projected Bellman equation have a solution? If so, is the solution useful in the sense of generating a good…

最优化与控制 · 数学 2020-08-11 Prashant G. Mehta , Sean P. Meyn

Continuous-time stochastic processes underlie many natural and engineered systems. In healthcare, autonomous driving, and industrial control, direct interaction with the environment is often unsafe or impractical, motivating offline…

机器学习 · 统计学 2025-11-14 Nicolas Hoischen , Petar Bevanda , Max Beier , Stefan Sosnowski , Boris Houska , Sandra Hirche

In reinforcement learning, an agent interacts sequentially with an environment to maximize a reward, receiving only partial, probabilistic feedback. This creates a fundamental exploration-exploitation trade-off: the agent must explore to…

量子物理 · 物理学 2026-03-27 Josep Lumbreras , Ruo Cheng Huang , Yanglin Hu , Marco Fanizza , Mile Gu

We propose a novel distributionally robust $Q$-learning algorithm for the non-tabular case accounting for continuous state spaces where the state transition of the underlying Markov decision process is subject to model uncertainty. The…

机器学习 · 计算机科学 2025-05-27 Chung I Lu , Julian Sester , Aijia Zhang

In recent work it is shown that Q-learning with linear function approximation is stable, in the sense of bounded parameter estimates, under the $(\varepsilon,\kappa)$-tamed Gibbs policy; $\kappa$ is inverse temperature, and $\varepsilon>0$…

机器学习 · 计算机科学 2026-02-09 Prashant Mehta , Sean Meyn

Offline reinforcement learning leverages large datasets to train policies without interactions with the environment. The learned policies may then be deployed in real-world settings where interactions are costly or dangerous. Current…

机器学习 · 计算机科学 2022-06-29 Matthias Weissenbacher , Samarth Sinha , Animesh Garg , Yoshinobu Kawahara

The goal of robust reinforcement learning (RL) is to learn a policy that is robust against the uncertainty in model parameters. Parameter uncertainty commonly occurs in many real-world RL applications due to simulator modeling errors,…

机器学习 · 计算机科学 2022-10-19 Kishan Panaganti , Zaiyan Xu , Dileep Kalathil , Mohammad Ghavamzadeh

The analysis of Temporal Difference (TD) learning in the average-reward setting faces notable theoretical difficulties because the Bellman operator is not contractive with respect to any norm. This complicates standard analyses of…

机器学习 · 计算机科学 2026-05-05 Haoxing Tian , Zaiwei Chen , Ioannis Ch. Paschalidis , Alex Olshevsky

Guided exploration with expert demonstrations improves data efficiency for reinforcement learning, but current algorithms often overuse expert information. We propose a novel algorithm to speed up Q-learning with the help of a limited…

机器学习 · 计算机科学 2022-10-06 Fengdi Che , Xiru Zhu , Doina Precup , David Meger , Gregory Dudek

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

Reinforcement learning has driven impressive advances in machine learning. Simultaneously, quantum-enhanced machine learning algorithms using quantum annealing underlie heavy developments. Recently, a multi-agent reinforcement learning…

人工智能 · 计算机科学 2021-11-23 Tobias Müller , Christoph Roch , Kyrill Schmid , Philipp Altmann

Efficient exploration remains a challenging research problem in reinforcement learning, especially when an environment contains large state spaces, deceptive local optima, or sparse rewards. To tackle this problem, we present a…

人工智能 · 计算机科学 2018-10-30 Zhang-Wei Hong , Tzu-Yun Shann , Shih-Yang Su , Yi-Hsiang Chang , Chun-Yi Lee

Q-value iteration (Q-VI) is usually analyzed through the \(\gamma\)-contraction of the Bellman operator. This argument proves convergence to \(Q^*\), but it gives only a coarse account of when the induced greedy policy becomes optimal. We…

最优化与控制 · 数学 2026-05-06 Donghwan Lee

Deep reinforcement learning has been shown to be a powerful framework for learning policies from complex high-dimensional sensory inputs to actions in complex tasks, such as the Atari domain. In this paper, we explore output representation…

机器学习 · 计算机科学 2016-06-16 Ishan P. Durugkar , Clemens Rosenbaum , Stefan Dernbach , Sridhar Mahadevan

In deterministic systems, reinforcement learning-based online approximate optimal control methods typically require a restrictive persistence of excitation (PE) condition for convergence. This paper presents a concurrent learning-based…

系统与控制 · 计算机科学 2017-07-25 Rushikesh Kamalapurkar , Patrick Walters , Warren Dixon

Offline reinforcement learning (RL) suffers from extrapolation errors induced by out-of-distribution (OOD) actions. To address this, offline RL algorithms typically impose constraints on action selection, which can be systematically…

机器学习 · 计算机科学 2025-11-05 Yixiu Mao , Yun Qu , Qi Wang , Xiangyang Ji