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The continuous nature of belief states in POMDPs presents significant computational challenges in learning the optimal policy. In this paper, we consider an approach that solves a Partially Observable Reinforcement Learning (PORL) problem…

机器学习 · 计算机科学 2025-10-15 Ameya Anjarlekar , Rasoul Etesami , R Srikant

Partially observable Markov Decision Processes (POMDPs) are a standard model for agents making decisions in uncertain environments. Most work on POMDPs focuses on synthesizing strategies based on the available capabilities. However, system…

人工智能 · 计算机科学 2024-07-12 Alyzia-Maria Konsta , Alberto Lluch Lafuente , Christoph Matheja

This paper studies Markov Decision Processes under parameter uncertainty. We adapt the distributionally robust optimization framework, and assume that the uncertain parameters are random variables following an unknown distribution, and…

系统与控制 · 计算机科学 2015-05-14 Pengqian Yu , Huan Xu

Memoryless and finite-memory policies offer a practical alternative for solving partially observable Markov decision processes (POMDPs), as they operate directly in the output space rather than in the high-dimensional belief space. However,…

机器学习 · 计算机科学 2025-12-15 Roy van Zuijlen , Duarte Antunes

We consider a hidden Markov model with multiple observation processes, one of which is chosen at each point in time by a policy---a deterministic function of the information state---and attempt to determine which policy minimises the…

概率论 · 数学 2015-03-17 James Y. Zhao

Planning under uncertainty is a central problem in the study of automated sequential decision making, and has been addressed by researchers in many different fields, including AI planning, decision analysis, operations research, control…

人工智能 · 计算机科学 2011-05-30 C. Boutilier , T. Dean , S. Hanks

We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

统计理论 · 数学 2021-11-11 Zhengling Qi , Peng Liao

We consider Markov Decision Processes (MDPs) in which every stationary policy induces the same graph structure for the underlying Markov chain and further, the graph has the following property: if we replace each recurrent class by a node,…

机器学习 · 计算机科学 2021-03-10 Joseph Lubars , Anna Winnicki , Michael Livesay , R. Srikant

Mixed observable Markov decision processes (MOMDPs) are a modeling framework for autonomous systems described by both fully and partially observable states. In this work, we study the problem of synthesizing a control policy for MOMDPs that…

系统与控制 · 电气工程与系统科学 2021-03-03 Ugo Rosolia , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

We revisit closed-loop performance guarantees for Model Predictive Control in the deterministic and stochastic cases, which extend to novel performance results applicable to receding horizon control of Partially Observable Markov Decision…

最优化与控制 · 数学 2020-05-01 Martin A. Sehr , Robert R. Bitmead

Partially observable Markov decision processes (POMDPs) model specific environments in sequential decision-making under uncertainty. Critically, optimal policies for POMDPs may not be robust against perturbations in the environment.…

人工智能 · 计算机科学 2025-08-21 Maris F. L. Galesloot , Roman Andriushchenko , Milan Češka , Sebastian Junges , Nils Jansen

In this paper, we propose a policy gradient method for confounded partially observable Markov decision processes (POMDPs) with continuous state and observation spaces in the offline setting. We first establish a novel identification result…

机器学习 · 统计学 2023-12-04 Mao Hong , Zhengling Qi , Yanxun Xu

We propose a new approach to the problem of searching a space of policies for a Markov decision process (MDP) or a partially observable Markov decision process (POMDP), given a model. Our approach is based on the following observation: Any…

人工智能 · 计算机科学 2013-01-18 Andrew Y. Ng , Michael I. Jordan

Markov Decision Processes (MDPs) are mathematical models of sequential decision-making under uncertainty that have found applications in healthcare, manufacturing, logistics, and others. In these models, a decision-maker observes the state…

最优化与控制 · 数学 2024-05-22 Madeleine Pollack , Lauren N. Steimle

Howard's Policy Iteration (HPI) is a classic algorithm for solving Markov Decision Problems (MDPs). HPI uses a "greedy" switching rule to update from any non-optimal policy to a dominating one, iterating until an optimal policy is found.…

人工智能 · 计算机科学 2025-05-05 Dibyangshu Mukherjee , Shivaram Kalyanakrishnan

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

机器学习 · 统计学 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

Partially Observable Markov Decision Processes (POMDPs) offer an elegant framework to model sequential decision making in uncertain environments. Solving POMDPs online is an active area of research and given the size of real-world problems…

人工智能 · 计算机科学 2018-04-10 Sankalp Arora , Sanjiban Choudhury , Sebastian Scherer

We show that for several variations of partially observable Markov decision processes, polynomial-time algorithms for finding control policies are unlikely to or simply don't have guarantees of finding policies within a constant factor or a…

人工智能 · 计算机科学 2011-06-02 J. Goldsmith , C. Lusena , M. Mundhenk

Markov decision processes (MDPs) are a popular model for decision-making in the presence of uncertainty. The conventional view of MDPs in verification treats them as state transformers with probabilities defined over sequences of states and…

形式语言与自动机理论 · 计算机科学 2025-07-25 Yun Chen Tsai , Kittiphon Phalakarn , S. Akshay , Ichiro Hasuo

We consider average-cost Markov decision processes (MDPs) with Borel state and action spaces and universally measurable policies. For the nonnegative cost model and an unbounded cost model, we introduce a set of conditions under which we…

最优化与控制 · 数学 2019-01-14 Huizhen Yu