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We provide an algorithm that achieves the optimal regret rate in an unknown weakly communicating Markov Decision Process (MDP). The algorithm proceeds in episodes where, in each episode, it picks a policy using regularization based on the…

机器学习 · 计算机科学 2012-05-14 Peter L. Bartlett , Ambuj Tewari

The Adversarial Markov Decision Process (AMDP) is a learning framework that deals with unknown and varying tasks in decision-making applications like robotics and recommendation systems. A major limitation of the AMDP formalism, however, is…

机器学习 · 统计学 2024-05-06 Sang Bin Moon , Abolfazl Hashemi

We present an efficient reinforcement learning algorithm that learns the optimal admission control policy in a partially observable queueing network. Specifically, only the arrival and departure times from the network are observable, and…

机器学习 · 计算机科学 2023-08-07 Jonatha Anselmi , Bruno Gaujal , Louis-Sébastien Rebuffi

We develop several provably efficient model-free reinforcement learning (RL) algorithms for infinite-horizon average-reward Markov Decision Processes (MDPs). We consider both online setting and the setting with access to a simulator. In the…

机器学习 · 计算机科学 2023-06-29 Zihan Zhang , Qiaomin Xie

We consider the problem of learning an unknown Markov Decision Process (MDP) that is weakly communicating in the infinite horizon setting. We propose a Thompson Sampling-based reinforcement learning algorithm with dynamic episodes (TSDE).…

机器学习 · 计算机科学 2017-09-15 Yi Ouyang , Mukul Gagrani , Ashutosh Nayyar , Rahul Jain

We provide improved gap-dependent regret bounds for reinforcement learning in finite episodic Markov decision processes. Compared to prior work, our bounds depend on alternative definitions of gaps. These definitions are based on the…

机器学习 · 计算机科学 2021-10-27 Christoph Dann , Teodor V. Marinov , Mehryar Mohri , Julian Zimmert

We study regret minimization for reinforcement learning (RL) in Latent Markov Decision Processes (LMDPs) with context in hindsight. We design a novel model-based algorithmic framework which can be instantiated with both a model-optimistic…

机器学习 · 计算机科学 2023-05-23 Runlong Zhou , Ruosong Wang , Simon S. Du

This paper considers multi-agent reinforcement learning (MARL) where the rewards are received after delays and the delay time varies across agents and across time steps. Based on the V-learning framework, this paper proposes MARL algorithms…

多智能体系统 · 计算机科学 2023-05-17 Yuyang Zhang , Runyu Zhang , Yuantao Gu , Na Li

In this paper, we revisit the regret of undiscounted reinforcement learning in MDPs with a birth and death structure. Specifically, we consider a controlled queue with impatient jobs and the main objective is to optimize a trade-off between…

机器学习 · 计算机科学 2023-02-22 Jonatha Anselmi , Bruno Gaujal , Louis-Sébastien Rebuffi

We derive a novel asymptotic problem-dependent lower-bound for regret minimization in finite-horizon tabular Markov Decision Processes (MDPs). While, similar to prior work (e.g., for ergodic MDPs), the lower-bound is the solution to an…

机器学习 · 计算机科学 2021-06-25 Andrea Tirinzoni , Matteo Pirotta , Alessandro Lazaric

We extend the options framework for temporal abstraction in reinforcement learning from discounted Markov decision processes (MDPs) to average-reward MDPs. Our contributions include general convergent off-policy inter-option learning…

机器学习 · 计算机科学 2021-10-27 Yi Wan , Abhishek Naik , Richard S. Sutton

We present an optimistic Q-learning algorithm for regret minimization in average reward reinforcement learning under an additional assumption on the underlying MDP that for all policies, the time to visit some frequent state $s_0$ is finite…

机器学习 · 计算机科学 2025-06-17 Priyank Agrawal , Shipra Agrawal

In this paper, we study the episodic reinforcement learning (RL) problem modeled by finite-horizon Markov Decision Processes (MDPs) with constraint on the number of batches. The multi-batch reinforcement learning framework, where the agent…

机器学习 · 计算机科学 2022-10-18 Zihan Zhang , Yuhang Jiang , Yuan Zhou , Xiangyang Ji

We study Markov Decision Processes (MDP) wherein states correspond to causal graphs that stochastically generate rewards. In this setup, the learner's goal is to identify atomic interventions that lead to high rewards by intervening on…

机器学习 · 计算机科学 2021-11-02 Rahul Madhavan , Aurghya Maiti , Gaurav Sinha , Siddharth Barman

Exogenous state variables and rewards can slow reinforcement learning by injecting uncontrolled variation into the reward signal. This paper formalizes exogenous state variables and rewards and shows that if the reward function decomposes…

机器学习 · 计算机科学 2026-01-15 George Trimponias , Thomas G. Dietterich

This paper develops a viable notion of learning for sampling-based algorithms that applies in broader settings than previously considered. More specifically, we model a discounted infinite-horizon MDPs with Borel state and action spaces,…

机器学习 · 统计学 2026-04-09 Daniel Adelman , Cagla Keceli , Alba V. Olivares-Nadal

We consider a Markov decision process with deterministic state transition dynamics, adversarially generated rewards that change arbitrarily from round to round, and a bandit feedback model in which the decision maker only observes the…

计算机科学与博弈论 · 计算机科学 2012-10-19 Raman Arora , Ofer Dekel , Ambuj Tewari

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 investigate the hardness of online reinforcement learning in fixed horizon, sparse linear Markov decision process (MDP), with a special focus on the high-dimensional regime where the ambient dimension is larger than the number of…

机器学习 · 计算机科学 2021-02-11 Botao Hao , Tor Lattimore , Csaba Szepesvári , Mengdi Wang

The stochastic generalised linear bandit is a well-understood model for sequential decision-making problems, with many algorithms achieving near-optimal regret guarantees under immediate feedback. However, the stringent requirement for…

机器学习 · 计算机科学 2023-04-12 Benjamin Howson , Ciara Pike-Burke , Sarah Filippi