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We study reinforcement learning in an infinite-horizon average-reward setting with linear function approximation, where the transition probability function of the underlying Markov Decision Process (MDP) admits a linear form over a feature…

机器学习 · 计算机科学 2022-05-11 Yue Wu , Dongruo Zhou , Quanquan Gu

Safe reinforcement learning is extremely challenging--not only must the agent explore an unknown environment, it must do so while ensuring no safety constraint violations. We formulate this safe reinforcement learning (RL) problem using the…

We study infinite-horizon average-reward constrained Markov decision processes (CMDPs) under the unichain assumption and general policy parameterizations. Existing regret analyses for constrained reinforcement learning largely rely on…

机器学习 · 计算机科学 2026-02-10 Anirudh Satheesh , Vaneet Aggarwal

This work studies online episodic tabular Markov decision processes (MDPs) with known transitions and develops best-of-both-worlds algorithms that achieve refined data-dependent regret bounds in the adversarial regime and variance-dependent…

机器学习 · 计算机科学 2026-02-03 Mingyi Li , Taira Tsuchiya , Kenji Yamanishi

We study online learning in finite-horizon episodic Markov decision processes (MDPs) under the challenging aggregate bandit feedback model, where the learner observes only the cumulative loss incurred in each episode, rather than individual…

机器学习 · 计算机科学 2025-10-28 Shinji Ito , Kevin Jamieson , Haipeng Luo , Arnab Maiti , Taira Tsuchiya

We consider the problem of provably optimal exploration in reinforcement learning for finite horizon MDPs. We show that an optimistic modification to value iteration achieves a regret bound of $\tilde{O}( \sqrt{HSAT} + H^2S^2A+H\sqrt{T})$…

机器学习 · 统计学 2017-07-04 Mohammad Gheshlaghi Azar , Ian Osband , Rémi Munos

We study the constant regret guarantees in reinforcement learning (RL). Our objective is to design an algorithm that incurs only finite regret over infinite episodes with high probability. We introduce an algorithm, Cert-LSVI-UCB, for…

机器学习 · 计算机科学 2024-12-13 Weitong Zhang , Zhiyuan Fan , Jiafan He , Quanquan Gu

In online learning problems, exploiting low variance plays an important role in obtaining tight performance guarantees yet is challenging because variances are often not known a priori. Recently, considerable progress has been made by Zhang…

机器学习 · 统计学 2023-02-07 Yeoneung Kim , Insoon Yang , Kwang-Sung Jun

We study algorithms using randomized value functions for exploration in reinforcement learning. This type of algorithms enjoys appealing empirical performance. We show that when we use 1) a single random seed in each episode, and 2) a…

机器学习 · 计算机科学 2022-10-14 Zhihan Xiong , Ruoqi Shen , Qiwen Cui , Maryam Fazel , Simon S. Du

Motivated by practical applications where stable long-term performance is critical-such as robotics, operations research, and healthcare-we study the problem of distributionally robust (DR) average-reward reinforcement learning. We propose…

机器学习 · 计算机科学 2026-02-03 Zijun Chen , Shengbo Wang , Nian Si

Many popular reinforcement learning problems (e.g., navigation in a maze, some Atari games, mountain car) are instances of the episodic setting under its stochastic shortest path (SSP) formulation, where an agent has to achieve a goal state…

机器学习 · 统计学 2020-08-18 Jean Tarbouriech , Evrard Garcelon , Michal Valko , Matteo Pirotta , Alessandro Lazaric

Reinforcement learning algorithms are widely used in domains where it is desirable to provide a personalized service. In these domains it is common that user data contains sensitive information that needs to be protected from third parties.…

机器学习 · 计算机科学 2021-10-28 Evrard Garcelon , Vianney Perchet , Ciara Pike-Burke , Matteo Pirotta

In standard RL, a learner attempts to learn an optimal policy for a Markov Decision Process whose structure (e.g. state space) is known. In online model selection, a learner attempts to learn an optimal policy for an MDP knowing only that…

机器学习 · 计算机科学 2024-11-12 Alireza Masoumian , James R. Wright

We study online reinforcement learning for finite-horizon deterministic control systems with {\it arbitrary} state and action spaces. Suppose that the transition dynamics and reward function is unknown, but the state and action space is…

机器学习 · 计算机科学 2019-05-07 Lin F. Yang , Chengzhuo Ni , Mengdi Wang

Recently, several studies (Zhou et al., 2021a; Zhang et al., 2021b; Kim et al., 2021; Zhou and Gu, 2022) have provided variance-dependent regret bounds for linear contextual bandits, which interpolates the regret for the worst-case regime…

机器学习 · 计算机科学 2023-02-22 Heyang Zhao , Jiafan He , Dongruo Zhou , Tong Zhang , Quanquan Gu

Safety is a fundamental challenge in reinforcement learning (RL), particularly in real-world applications such as autonomous driving, robotics, and healthcare. To address this, Constrained Markov Decision Processes (CMDPs) are commonly used…

机器学习 · 计算机科学 2026-02-18 Chang Liu , Yunfan Li , Lin F. Yang

In this work, we study algorithms for learning in infinite-horizon undiscounted Markov decision processes (MDPs) with function approximation. We first show that the regret analysis of the Politex algorithm (a version of regularized policy…

机器学习 · 计算机科学 2021-02-26 Nevena Lazic , Dong Yin , Yasin Abbasi-Yadkori , Csaba Szepesvari

Policy optimization is a widely-used method in reinforcement learning. Due to its local-search nature, however, theoretical guarantees on global optimality often rely on extra assumptions on the Markov Decision Processes (MDPs) that bypass…

机器学习 · 计算机科学 2021-07-20 Haipeng Luo , Chen-Yu Wei , Chung-Wei Lee

We present the E-UC$^3$RL algorithm for regret minimization in Stochastic Contextual Markov Decision Processes (CMDPs). The algorithm operates under the minimal assumptions of realizable function class and access to \emph{offline} least…

机器学习 · 计算机科学 2024-05-30 Orin Levy , Asaf Cassel , Alon Cohen , Yishay Mansour

Most provably-efficient learning algorithms introduce optimism about poorly-understood states and actions to encourage exploration. We study an alternative approach for efficient exploration, posterior sampling for reinforcement learning…

机器学习 · 统计学 2013-12-30 Ian Osband , Daniel Russo , Benjamin Van Roy