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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

In this paper, we study reinforcement learning in Markov Decision Processes with Probabilistic Reward Machines (PRMs), a form of non-Markovian reward commonly found in robotics tasks. We design an algorithm for PRMs that achieves a regret…

机器学习 · 统计学 2024-08-21 Xiaofeng Lin , Xuezhou Zhang

Most known regret bounds for reinforcement learning are either episodic or assume an environment without traps. We derive a regret bound without making either assumption, by allowing the algorithm to occasionally delegate an action to an…

机器学习 · 计算机科学 2019-07-22 Vanessa Kosoy

In this paper, we propose Posterior Sampling Reinforcement Learning for Zero-sum Stochastic Games (PSRL-ZSG), the first online learning algorithm that achieves Bayesian regret bound of $O(HS\sqrt{AT})$ in the infinite-horizon zero-sum…

机器学习 · 计算机科学 2024-03-12 Mehdi Jafarnia-Jahromi , Rahul Jain , Ashutosh Nayyar

Reinforcement Learning from Human Feedback (RLHF) has emerged as a powerful approach for aligning generative models, but its reliance on learned reward models makes it vulnerable to mis-specification and reward hacking. Preference-based…

机器学习 · 计算机科学 2026-04-23 Akhil Agnihotri , Rahul Jain , Deepak Ramachandran , Zheng Wen

We consider un-discounted reinforcement learning (RL) in Markov decision processes (MDPs) under drifting non-stationarity, i.e., both the reward and state transition distributions are allowed to evolve over time, as long as their respective…

机器学习 · 计算机科学 2020-06-26 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

This paper considers the use of a simple posterior sampling algorithm to balance between exploration and exploitation when learning to optimize actions such as in multi-armed bandit problems. The algorithm, also known as Thompson Sampling,…

机器学习 · 计算机科学 2014-02-04 Daniel Russo , Benjamin Van Roy

Bayesian posterior sampling techniques have demonstrated superior empirical performance in many exploration-exploitation settings. However, their theoretical analysis remains a challenge, especially in complex settings like reinforcement…

机器学习 · 计算机科学 2025-10-30 Priyank Agrawal , Shipra Agrawal , Azmat Azati

Learning in POMDPs is known to be significantly harder than in MDPs. In this paper, we consider the online learning problem for episodic POMDPs with unknown transition and observation models. We propose a Posterior Sampling-based…

机器学习 · 计算机科学 2024-10-24 Dengwang Tang , Dongze Ye , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

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

Posterior sampling allows exploitation of prior knowledge on the environment's transition dynamics to improve the sample efficiency of reinforcement learning. The prior is typically specified as a class of parametric distributions, the…

机器学习 · 计算机科学 2024-04-09 Mirco Mutti , Riccardo De Santi , Marcello Restelli , Alexander Marx , Giorgia Ramponi

We propose an optimistic model-based algorithm, dubbed SMRL, for finite-horizon episodic reinforcement learning (RL) when the transition model is specified by exponential family distributions with $d$ parameters and the reward is bounded…

机器学习 · 计算机科学 2023-01-10 Gene Li , Junbo Li , Anmol Kabra , Nathan Srebro , Zhaoran Wang , Zhuoran Yang

We propose a general framework to design posterior sampling methods for model-based RL. We show that the proposed algorithms can be analyzed by reducing regret to Hellinger distance in conditional probability estimation. We further show…

机器学习 · 计算机科学 2022-10-18 Alekh Agarwal , Tong Zhang

We study reinforcement learning (RL) for decision processes with non-Markovian reward, in which high-level knowledge of the task in the form of reward machines is available to the learner. We consider probabilistic reward machines with…

Reinforcement Learning (RL) has achieved tremendous success in recent years. However, the classical foundations of RL do not account for the risk sensitivity of the objective function, which is critical in various fields, including…

机器学习 · 计算机科学 2025-11-14 Mohammad Alipour-Vaezi , Huaiyang Zhong , Kwok-Leung Tsui , Sajad Khodadadian

Sampling algorithms drive probabilistic machine learning, and recent years have seen an explosion in the diversity of tools for this task. However, the increasing sophistication of sampling algorithms is correlated with an increase in the…

统计计算 · 统计学 2025-07-02 Congye Wang , Matthew A. Fisher , Heishiro Kanagawa , Wilson Chen , Chris. J. Oates

We study learning in periodic Markov Decision Process (MDP), a special type of non-stationary MDP where both the state transition probabilities and reward functions vary periodically, under the average reward maximization setting. We…

机器学习 · 计算机科学 2023-03-20 Ayush Aniket , Arpan Chattopadhyay

We design a new provably efficient algorithm for episodic reinforcement learning with generalized linear function approximation. We analyze the algorithm under a new expressivity assumption that we call "optimistic closure," which is…

机器学习 · 统计学 2019-12-10 Yining Wang , Ruosong Wang , Simon S. Du , Akshay Krishnamurthy

We study model-based reinforcement learning in an unknown finite communicating Markov decision process. We propose a simple algorithm that leverages a variance based confidence interval. We show that the proposed algorithm, UCRL-V, achieves…

机器学习 · 计算机科学 2019-12-12 Aristide Tossou , Debabrota Basu , Christos Dimitrakakis

For the problem of task-agnostic reinforcement learning (RL), an agent first collects samples from an unknown environment without the supervision of reward signals, then is revealed with a reward and is asked to compute a corresponding…

机器学习 · 计算机科学 2022-03-16 Jingfeng Wu , Vladimir Braverman , Lin F. Yang