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We study the reinforcement learning problem in the setting of finite-horizon episodic Markov Decision Processes (MDPs) with $S$ states, $A$ actions, and episode length $H$. We propose a model-free algorithm UCB-Advantage and prove that it…

机器学习 · 计算机科学 2020-06-09 Zihan Zhang , Yuan Zhou , Xiangyang Ji

We consider model selection for classic Reinforcement Learning (RL) environments -- Multi Armed Bandits (MABs) and Markov Decision Processes (MDPs) -- under general function approximations. In the model selection framework, we do not know…

机器学习 · 统计学 2022-07-08 Avishek Ghosh , Sayak Ray Chowdhury

Reinforcement learning (RL) under changing environment models many real-world applications via nonstationary Markov Decision Processes (MDPs), and hence gains considerable interest. However, theoretical studies on nonstationary MDPs in the…

机器学习 · 计算机科学 2023-08-11 Yuan Cheng , Jing Yang , Yingbin Liang

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 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

While quantum reinforcement learning (RL) has attracted a surge of attention recently, its theoretical understanding is limited. In particular, it remains elusive how to design provably efficient quantum RL algorithms that can address the…

量子物理 · 物理学 2024-06-14 Han Zhong , Jiachen Hu , Yecheng Xue , Tongyang Li , Liwei Wang

This work advances randomized exploration in reinforcement learning (RL) with function approximation modeled by linear mixture MDPs. We establish the first prior-dependent Bayesian regret bound for RL with function approximation; and refine…

机器学习 · 统计学 2024-03-19 Yingru Li , Zhi-Quan Luo

Obtaining no-regret guarantees for reinforcement learning (RL) in the case of problems with continuous state and/or action spaces is still one of the major open challenges in the field. Recently, a variety of solutions have been proposed,…

机器学习 · 计算机科学 2024-02-07 Davide Maran , Alberto Maria Metelli , Matteo Papini , Marcello Restell

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

The standard assumption in reinforcement learning (RL) is that agents observe feedback for their actions immediately. However, in practice feedback is often observed in delay. This paper studies online learning in episodic Markov decision…

机器学习 · 计算机科学 2023-01-24 Tiancheng Jin , Tal Lancewicki , Haipeng Luo , Yishay Mansour , Aviv Rosenberg

We study episodic reinforcement learning under unknown adversarial corruptions in both the rewards and the transition probabilities of the underlying system. We propose new algorithms which, compared to the existing results in (Lykouris et…

机器学习 · 计算机科学 2021-03-09 Yifang Chen , Simon S. Du , Kevin Jamieson

This paper proposes a computationally tractable algorithm for learning infinite-horizon average-reward linear mixture Markov decision processes (MDPs) under the Bellman optimality condition. Our algorithm for linear mixture MDPs achieves a…

机器学习 · 计算机科学 2024-10-22 Woojin Chae , Kihyuk Hong , Yufan Zhang , Ambuj Tewari , Dabeen Lee

We consider reinforcement learning in parameterized Markov Decision Processes (MDPs), where the parameterization may induce correlation across transition probabilities or rewards. Consequently, observing a particular state transition might…

机器学习 · 统计学 2015-04-01 Aditya Gopalan , Shie Mannor

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

We consider the problem of online combinatorial optimization under semi-bandit feedback. The goal of the learner is to sequentially select its actions from a combinatorial decision set so as to minimize its cumulative loss. We propose a…

机器学习 · 计算机科学 2013-05-14 Gergely Neu , Gábor Bartók

We study a novel setting in Online Markov Decision Processes (OMDPs) where the loss function is chosen by a non-oblivious strategic adversary who follows a no-external regret algorithm. In this setting, we first demonstrate that MDP-Expert,…

机器学习 · 计算机科学 2023-01-31 Le Cong Dinh , David Henry Mguni , Long Tran-Thanh , Jun Wang , Yaodong Yang

We give a simple optimistic algorithm for which it is easy to derive regret bounds of $\tilde{O}(\sqrt{t_{\rm mix} SAT})$ after $T$ steps in uniformly ergodic Markov decision processes with $S$ states, $A$ actions, and mixing time parameter…

机器学习 · 计算机科学 2019-01-23 Ronald Ortner

Learning Markov decision processes (MDP) in an adversarial environment has been a challenging problem. The problem becomes even more challenging with function approximation, since the underlying structure of the loss function and transition…

机器学习 · 计算机科学 2023-02-15 Fang Kong , Xiangcheng Zhang , Baoxiang Wang , Shuai Li

We consider un-discounted reinforcement learning (RL) in Markov decision processes (MDPs) under temporal drifts, ie, both the reward and state transition distributions are allowed to evolve over time, as long as their respective total…

机器学习 · 计算机科学 2020-05-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

Multi-agent reinforcement learning (MARL) problems are challenging due to information asymmetry. To overcome this challenge, existing methods often require high level of coordination or communication between the agents. We consider…

机器学习 · 计算机科学 2021-11-02 Hsu Kao , Chen-Yu Wei , Vijay Subramanian