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We study reward-free reinforcement learning (RL) with linear function approximation, where the agent works in two phases: (1) in the exploration phase, the agent interacts with the environment but cannot access the reward; and (2) in the…

机器学习 · 计算机科学 2024-02-15 Junkai Zhang , Weitong Zhang , Quanquan Gu

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

最优化与控制 · 数学 2022-05-02 Johannes Müller , Guido Montúfar

In this paper, we consider reinforcement learning of Markov Decision Processes (MDP) with peak constraints, where an agent chooses a policy to optimize an objective and at the same time satisfy additional constraints. The agent has to take…

最优化与控制 · 数学 2019-12-09 Ather Gattami

Learning and optimal control under robust Markov decision processes (MDPs) have received increasing attention, yet most existing theory, algorithms, and applications focus on finite-horizon or discounted models. Long-run average-reward…

最优化与控制 · 数学 2025-12-12 Shengbo Wang , Nian Si

We study policy optimization problems for deterministic Markov decision processes (MDPs) with metric state and action spaces, which we refer to as Metric Policy Optimization Problems (MPOPs). Our goal is to establish theoretical results on…

最优化与控制 · 数学 2022-07-14 Victor D. Dorobantu , Kamyar Azizzadenesheli , Yisong Yue

We consider the constrained optimal control problem for the gradual-impulsive CTMDP model with the performance criteria being the expected total undiscounted costs (from the running cost and the cost from each time an impulse being…

最优化与控制 · 数学 2022-04-07 Alexey Piunovskiy , Yi Zhang

We study the problem of policy synthesis for uncertain partially observable Markov decision processes (uPOMDPs). The transition probability function of uPOMDPs is only known to belong to a so-called uncertainty set, for instance in the form…

最优化与控制 · 数学 2020-01-24 Marnix Suilen , Nils Jansen , Murat Cubuktepe , Ufuk Topcu

Planning under uncertainty is critical to robotics. The Partially Observable Markov Decision Process (POMDP) is a mathematical framework for such planning problems. It is powerful due to its careful quantification of the non-deterministic…

机器人学 · 计算机科学 2021-07-19 Hanna Kurniawati

Learning from demonstration has proven effective in robotics for acquiring natural behaviors, such as stylistic motions and lifelike agility, particularly when explicitly defining style-oriented reward functions is challenging. Synthesizing…

机器人学 · 计算机科学 2025-09-24 Kehan Wen , Chenhao Li , Junzhe He , Marco Hutter

Markov decision processes (MDP) and continuous-time MDP (CTMDP) are the fundamental models for non-deterministic systems with probabilistic uncertainty. Mean payoff (a.k.a. long-run average reward) is one of the most classic objectives…

系统与控制 · 电气工程与系统科学 2022-06-06 Chaitanya Agarwal , Shibashis Guha , Jan Křetínský , M. Pazhamalai

Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision making under uncertainty. The classical approaches for solving MDPs are well known and have been widely studied, some of which rely on…

机器学习 · 计算机科学 2018-05-18 Joshua R. Bertram , Xuxi Yang , Peng Wei

Markov Decision Processes (MDPs) are stochastic optimization problems that model situations where a decision maker controls a system based on its state. Partially observed Markov decision processes (POMDPs) are generalizations of MDPs where…

最优化与控制 · 数学 2019-03-26 Victor Cohen , Axel Parmentier

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

系统与控制 · 计算机科学 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

The framework of mixed observable Markov decision processes (MOMDP) models many robotic domains in which some state variables are fully observable while others are not. In this work, we identify a significant subclass of MOMDPs defined by…

机器人学 · 计算机科学 2022-06-07 Hai Nguyen , Zhihan Yang , Andrea Baisero , Xiao Ma , Robert Platt , Christopher Amato

Many communication and control problems are cast as multi-objective Markov decision processes (MOMDPs). The complete solution to an MOMDP is the Pareto front. Much of the literature approximates this front via scalarization into…

系统与控制 · 电气工程与系统科学 2026-04-03 Jiping Luo , Nikolaos Pappas

Policy gradient methods are among the most effective methods in challenging reinforcement learning problems with large state and/or action spaces. However, little is known about even their most basic theoretical convergence properties,…

机器学习 · 计算机科学 2020-10-16 Alekh Agarwal , Sham M. Kakade , Jason D. Lee , Gaurav Mahajan

Fairness has emerged as an important concern in automated decision-making in recent years, especially when these decisions affect human welfare. In this work, we study fairness in temporally extended decision-making settings, specifically…

人工智能 · 计算机科学 2022-02-10 Ganesh Ghalme , Vineet Nair , Vishakha Patil , Yilun Zhou

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

Recent advances have significantly improved our understanding of the sample complexity of learning in average-reward Markov decision processes (AMDPs) under the generative model. However, much less is known about the constrained…

机器学习 · 计算机科学 2025-09-23 Yukuan Wei , Xudong Li , Lin F. Yang

This paper explores the realm of infinite horizon average reward Constrained Markov Decision Processes (CMDPs). To the best of our knowledge, this work is the first to delve into the regret and constraint violation analysis of average…

机器学习 · 计算机科学 2024-10-31 Qinbo Bai , Washim Uddin Mondal , Vaneet Aggarwal