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Balancing exploration and exploitation is crucial in reinforcement learning (RL). In this paper, we study model-based posterior sampling for reinforcement learning (PSRL) in continuous state-action spaces theoretically and empirically.…

机器学习 · 计算机科学 2021-11-18 Ying Fan , Yifei Ming

We study computationally and statistically efficient reinforcement learning under the linear $Q^{\pi}$ realizability assumption, where any policy's $Q$-function is linear in a given state-action feature representation. Prior methods in this…

机器学习 · 计算机科学 2026-03-03 Yijing Ke , Zihan Zhang , Ruosong Wang

We develop several new algorithms for learning Markov Decision Processes in an infinite-horizon average-reward setting with linear function approximation. Using the optimism principle and assuming that the MDP has a linear structure, we…

机器学习 · 计算机科学 2021-04-27 Chen-Yu Wei , Mehdi Jafarnia-Jahromi , Haipeng Luo , Rahul Jain

We study lifelong reinforcement learning (RL) in a regret minimization setting of linear contextual Markov decision process (MDP), where the agent needs to learn a multi-task policy while solving a streaming sequence of tasks. We propose an…

机器学习 · 计算机科学 2022-06-02 Sanae Amani , Lin F. Yang , Ching-An Cheng

Learning to plan for long horizons is a central challenge in episodic reinforcement learning problems. A fundamental question is to understand how the difficulty of the problem scales as the horizon increases. Here the natural measure of…

机器学习 · 计算机科学 2020-07-10 Ruosong Wang , Simon S. Du , Lin F. Yang , Sham M. Kakade

In this paper, we propose and study opportunistic reinforcement learning - a new variant of reinforcement learning problems where the regret of selecting a suboptimal action varies under an external environmental condition known as the…

机器学习 · 计算机科学 2022-10-26 Xiaoxiao Wang , Nader Bouacida , Xueying Guo , Xin Liu

We develop a new approach to obtaining high probability regret bounds for online learning with bandit feedback against an adaptive adversary. While existing approaches all require carefully constructing optimistic and biased loss…

机器学习 · 计算机科学 2020-11-02 Chung-Wei Lee , Haipeng Luo , Chen-Yu Wei , Mengxiao Zhang

We study reinforcement learning (RL) for a class of continuous-time linear-quadratic (LQ) control problems for diffusions, where states are scalar-valued and running control rewards are absent but volatilities of the state processes depend…

机器学习 · 计算机科学 2025-07-25 Yilie Huang , Yanwei Jia , Xun Yu Zhou

We study model-based reinforcement learning (RL) for episodic Markov decision processes (MDP) whose transition probability is parametrized by an unknown transition core with features of state and action. Despite much recent progress in…

机器学习 · 统计学 2024-11-19 Taehyun Hwang , Min-hwan Oh

We consider the problem of preference based reinforcement learning (PbRL), where, unlike traditional reinforcement learning, an agent receives feedback only in terms of a 1 bit (0/1) preference over a trajectory pair instead of absolute…

机器学习 · 计算机科学 2023-02-07 Aldo Pacchiano , Aadirupa Saha , Jonathan Lee

We study infinite-horizon average-reward reinforcement learning (RL) for Lipschitz MDPs, a broad class that subsumes several important classes such as linear and RKHS MDPs, function approximation frameworks, and develop an adaptive…

机器学习 · 计算机科学 2026-02-03 Avik Kar , Rahul Singh

We propose an epoch-based reinforcement learning algorithm for infinite-horizon average-cost Markov decision processes (MDPs) that leverages a partial order over a policy class. In this structure, $\pi' \leq \pi$ if data collected under…

机器学习 · 统计学 2025-08-07 Zhongjun Zhang , Shipra Agrawal , Ilan Lobel , Sean R. Sinclair , Christina Lee Yu

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 reinforcement learning with linear function approximation, unknown transition, and adversarial losses in the bandit feedback setting. Specifically, we focus on linear mixture MDPs whose transition kernel is a linear mixture model.…

机器学习 · 计算机科学 2024-03-08 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

State-of-the-art efficient model-based Reinforcement Learning (RL) algorithms typically act by iteratively solving empirical models, i.e., by performing \emph{full-planning} on Markov Decision Processes (MDPs) built by the gathered…

机器学习 · 计算机科学 2019-11-01 Yonathan Efroni , Nadav Merlis , Mohammad Ghavamzadeh , Shie Mannor

A crucial problem in reinforcement learning is learning the optimal policy. We study this in tabular infinite-horizon discounted Markov decision processes under the online setting. The existing algorithms either fail to achieve regret…

机器学习 · 计算机科学 2023-12-13 Xiang Ji , Gen Li

Horizon reduction is a common design strategy in offline reinforcement learning (RL), used to mitigate long-horizon credit assignment, improve stability, and enable scalable learning through truncated rollouts, windowed training, or…

机器学习 · 计算机科学 2026-01-06 Uday Kumar Nidadala , Venkata Bhumika Guthi

A standard assumption in Reinforcement Learning is that the agent observes every visited state-action pair in the associated Markov Decision Process (MDP), along with the per-step rewards. Strong theoretical results are known in this…

机器学习 · 计算机科学 2026-02-03 Zhengjia Zhuo , Anupam Gupta , Viswanath Nagarajan

We study privacy-preserving exploration in sequential decision-making for environments that rely on sensitive data such as medical records. In particular, we focus on solving the problem of reinforcement learning (RL) subject to the…

机器学习 · 计算机科学 2022-06-24 Dung Daniel Ngo , Giuseppe Vietri , Zhiwei Steven Wu

We study reinforcement learning for episodic Markov Decision Processes (MDPs) whose transitions are modelled by a multinomial logistic (MNL) model. Existing algorithms for MNL mixture MDPs yield a regret of $\smash{\tilde{O}(dH^2\sqrt{T})}$…

人工智能 · 计算机科学 2026-05-20 Pierre Boudart , Pierre Gaillard , Alessandro Rudi