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Many control problems in environments that can be modeled as Markov decision processes (MDPs) concern infinite-time horizon specifications. The classical aim in this context is to compute a control policy that maximizes the probability of…

系统与控制 · 计算机科学 2017-05-03 Ruediger Ehlers , Salar Moarref , Ufuk Topcu

We introduce a novel approach to hierarchical reinforcement learning for Linearly-solvable Markov Decision Processes (LMDPs) in the infinite-horizon average-reward setting. Unlike previous work, our approach allows learning low-level and…

机器学习 · 计算机科学 2024-07-10 Guillermo Infante , Anders Jonsson , Vicenç Gómez

We present a new algorithm based on posterior sampling for learning in Constrained Markov Decision Processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2024-05-30 Danil Provodin , Maurits Kaptein , Mykola Pechenizkiy

We study online learning in constrained Markov decision processes (CMDPs) in which rewards and constraints may be either stochastic or adversarial. In such settings, Stradi et al.(2024) proposed the first best-of-both-worlds algorithm able…

机器学习 · 计算机科学 2025-02-10 Francesco Emanuele Stradi , Anna Lunghi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In this paper, we study a mean-variance optimization problem in an infinite horizon discrete time discounted Markov decision process (MDP). The objective is to minimize the variance of system rewards with the constraint of mean performance.…

最优化与控制 · 数学 2017-08-24 Li Xia

We study policy optimization for infinite-horizon, discounted constrained Markov decision processes (CMDPs). While existing theoretical guarantees typically hold for the mixture policy, deploying such a policy is computationally and memory…

机器学习 · 计算机科学 2026-05-13 Michael Lu , Max Qiushi Lin , Mo Chen , Sharan Vaswani

A wide variety of queueing systems can be naturally modeled as infinite-state Markov Decision Processes (MDPs). In the reinforcement learning (RL) context, a variety of algorithms have been developed to learn and optimize these MDPs. At the…

机器学习 · 计算机科学 2025-07-14 Isaac Grosof , Siva Theja Maguluri , R. Srikant

We present a new algorithm based on posterior sampling for learning in constrained Markov decision processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2023-09-28 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

While learning in an unknown Markov Decision Process (MDP), an agent should trade off exploration to discover new information about the MDP, and exploitation of the current knowledge to maximize the reward. Although the agent will…

机器学习 · 计算机科学 2020-07-16 Evrard Garcelon , Mohammad Ghavamzadeh , Alessandro Lazaric , Matteo Pirotta

We propose a general framework for entropy-regularized average-reward reinforcement learning in Markov decision processes (MDPs). Our approach is based on extending the linear-programming formulation of policy optimization in MDPs to…

机器学习 · 计算机科学 2017-05-23 Gergely Neu , Anders Jonsson , Vicenç Gómez

In this paper, we show the convergence rates of posterior distributions of the model dynamics in a MDP for both episodic and continuous tasks. The theoretical results hold for general state and action space and the parameter space of the…

统计理论 · 数学 2019-07-23 Zhen Li , Eric Laber

We study the time-bounded reachability problem for continuous-time Markov decision processes (CTMDPs) and games (CTMGs). Existing techniques for this problem use discretisation techniques to break time into discrete intervals, and optimal…

计算机科学与博弈论 · 计算机科学 2011-07-11 John Fearnley , Markus Rabe , Sven Schewe , Lijun Zhang

This paper considers an infinite-horizon Markov decision process (MDP) that allows for general non-exponential discount functions, in both discrete and continuous time. Due to the inherent time inconsistency, we look for a randomized…

最优化与控制 · 数学 2024-12-10 Erhan Bayraktar , Yu-Jui Huang , Zhenhua Wang , Zhou Zhou

We tackle average-reward infinite-horizon POMDPs with an unknown transition model but a known observation model, a setting that has been previously addressed in two limiting ways: (i) frequentist methods relying on suboptimal stochastic…

机器学习 · 计算机科学 2025-09-09 Alessio Russo , Alberto Maria Metelli , Marcello Restelli

Independent learning (IL), despite being a popular approach in practice to achieve scalability in large-scale multi-agent systems, usually lacks global convergence guarantees. In this paper, we study two representative algorithms,…

机器学习 · 计算机科学 2024-05-31 Ruiyang Jin , Zaiwei Chen , Yiheng Lin , Jie Song , Adam Wierman

This paper studies convergence properties of optimal values and actions for discounted and average-cost Markov Decision Processes (MDPs) with weakly continuous transition probabilities and applies these properties to the stochastic…

最优化与控制 · 数学 2017-03-21 Eugene A. Feinberg , Mark E. Lewis

The goal of this paper is to study a distributed version of the gradient temporal-difference (GTD) learning algorithm for a class of multi-agent Markov decision processes (MDPs). The temporal-difference (TD) learning is a reinforcement…

最优化与控制 · 数学 2020-04-29 Donghwan Lee , Jianghai Hu

In Markov Decision Processes (MDPs) with intermittent state information, decision-making becomes challenging due to periods of missing observations. Linear programming (LP) methods can play a crucial role in solving MDPs, in particular,…

最优化与控制 · 数学 2025-09-09 Konstantin Avrachenkov , Madhu Dhiman , Veeraruna Kavitha

Although actor-critic methods have been successful in practice, their theoretical analyses have several limitations. Specifically, existing theoretical work either sidesteps the exploration problem by making strong assumptions or analyzes…

机器学习 · 计算机科学 2026-04-02 Max Qiushi Lin , Reza Asad , Kevin Tan , Haque Ishfaq , Csaba Szepesvari , Sharan Vaswani

Reinforcement Learning (RL) serves as a versatile framework for sequential decision-making, finding applications across diverse domains such as robotics, autonomous driving, recommendation systems, supply chain optimization, biology,…

机器学习 · 计算机科学 2024-08-26 Vaneet Aggarwal , Washim Uddin Mondal , Qinbo Bai