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In this paper, we investigate the concentration properties of cumulative reward in Markov Decision Processes (MDPs), focusing on both asymptotic and non-asymptotic settings. We introduce a unified approach to characterize reward…

机器学习 · 计算机科学 2025-12-04 Borna Sayedana , Peter E. Caines , Aditya Mahajan

Recent years have witnessed the success of adaptive (or unified) approaches in estimating symmetric properties of discrete distributions, where one first obtains a distribution estimator independent of the target property, and then plugs…

统计理论 · 数学 2021-03-04 Yanjun Han

We consider the infinite-horizon linear Markov Decision Processes (MDPs), where the transition probabilities of the dynamic model can be linearly parameterized with the help of a predefined low-dimensional feature mapping. While the…

机器学习 · 计算机科学 2023-10-19 Yu-Heng Hung , Ping-Chun Hsieh , Akshay Mete , P. R. Kumar

We study the model-based reward-free reinforcement learning with linear function approximation for episodic Markov decision processes (MDPs). In this setting, the agent works in two phases. In the exploration phase, the agent interacts with…

机器学习 · 计算机科学 2022-01-03 Weitong Zhang , Dongruo Zhou , Quanquan Gu

We study model-based learning of finite-window policies in tabular partially observable Markov decision processes (POMDPs). A common approach to learning under partial observability is to approximate unbounded history dependencies using…

机器学习 · 计算机科学 2026-04-02 Philip Jordan , Maryam Kamgarpour

This work focuses on off-policy evaluation (OPE) with function approximation in infinite-horizon undiscounted Markov decision processes (MDPs). For MDPs that are ergodic and linear (i.e. where rewards and dynamics are linear in some known…

机器学习 · 计算机科学 2020-06-24 Nevena Lazic , Dong Yin , Mehrdad Farajtabar , Nir Levine , Dilan Gorur , Chris Harris , Dale Schuurmans

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

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

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

计算机科学中的逻辑 · 计算机科学 2026-04-30 Marnix Suilen , Guillermo A. Pérez

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

This paper studies the problem of learning diagnostic policies from training examples. A diagnostic policy is a complete description of the decision-making actions of a diagnostician (i.e., tests followed by a diagnostic decision) for all…

人工智能 · 计算机科学 2011-09-13 V. Bayer-Zubek , T. G. Dietterich

Recent theoretical work studies sample-efficient reinforcement learning (RL) extensively in two settings: learning interactively in the environment (online RL), or learning from an offline dataset (offline RL). However, existing algorithms…

机器学习 · 计算机科学 2022-02-14 Tengyang Xie , Nan Jiang , Huan Wang , Caiming Xiong , Yu Bai

We consider the problem of solving robust Markov decision process (MDP), which involves a set of discounted, finite state, finite action space MDPs with uncertain transition kernels. The goal of planning is to find a robust policy that…

机器学习 · 计算机科学 2023-06-13 Yan Li , Guanghui Lan , Tuo Zhao

This paper describes a novel method to solve average-reward semi-Markov decision processes, by reducing them to a minimal sequence of cumulative reward problems. The usual solution methods for this type of problems update the gain (optimal…

机器学习 · 计算机科学 2015-04-21 Reinaldo Uribe Muriel , Fernando Lozando , Charles Anderson

While there is an extensive body of research analyzing policy gradient methods for discounted cumulative-reward MDPs, prior work on policy gradient methods for average-reward MDPs has been limited, with most existing results restricted to…

最优化与控制 · 数学 2026-02-23 Jongmin Lee , Ernest K. Ryu

Advances in mobile computing technologies have made it possible to monitor and apply data-driven interventions across complex systems in real time. Markov decision processes (MDPs) are the primary model for sequential decision problems with…

统计方法学 · 统计学 2018-03-20 Longshaokan Wang , Eric B. Laber , Katie Witkiewitz

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

Consider the problem of approximating the optimal policy of a Markov decision process (MDP) by sampling state transitions. In contrast to existing reinforcement learning methods that are based on successive approximations to the nonlinear…

机器学习 · 计算机科学 2017-10-18 Mengdi Wang

The problem of reinforcement learning in an unknown and discrete Markov Decision Process (MDP) under the average-reward criterion is considered, when the learner interacts with the system in a single stream of observations, starting from an…

机器学习 · 统计学 2018-03-06 Mohammad Sadegh Talebi , Odalric-Ambrym Maillard

Markov decision processes (MDPs) are a popular model for performance analysis and optimization of stochastic systems. The parameters of stochastic behavior of MDPs are estimates from empirical observations of a system; their values are not…

人工智能 · 计算机科学 2017-10-26 Dimitri Scheftelowitsch , Peter Buchholz , Vahid Hashemi , Holger Hermanns