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Planning under partial observability is an essential capability of autonomous robots. The Partially Observable Markov Decision Process (POMDP) provides a powerful framework for planning under partial observability problems, capturing the…

机器人学 · 计算机科学 2026-03-11 Marcus Hoerger , Muhammad Sudrajat , Hanna Kurniawati

Solving Partially Observable Markov Decision Processes (POMDPs) is hard. Learning optimal controllers for POMDPs when the model is unknown is harder. Online learning of optimal controllers for unknown POMDPs, which requires efficient…

机器学习 · 计算机科学 2021-06-16 Mehdi Jafarnia-Jahromi , Rahul Jain , Ashutosh Nayyar

Partially Observable Markov Decision Processes (POMDP) is a widely used model to represent the interaction of an environment and an agent, under state uncertainty. Since the agent does not observe the environment state, its uncertainty is…

人工智能 · 计算机科学 2021-04-16 Divya Grover , Christos Dimitrakakis

In this article, we discuss how to solve information-gathering problems expressed as rho-POMDPs, an extension of Partially Observable Markov Decision Processes (POMDPs) whose reward rho depends on the belief state. Point-based approaches…

人工智能 · 计算机科学 2021-03-23 Vincent Thomas , Gérémy Hutin , Olivier Buffet

We study the problem of infinite-horizon average-reward reinforcement learning with linear Markov decision processes (MDPs). The associated Bellman operator of the problem not being a contraction makes the algorithm design challenging.…

机器学习 · 统计学 2025-03-12 Kihyuk Hong , Woojin Chae , Yufan Zhang , Dabeen Lee , Ambuj Tewari

Robots often face challenges in domestic environments where visual feedback is ineffective, such as retrieving objects obstructed by occlusions or finding a light switch in the dark. In these cases, utilizing contacts to localize the target…

机器人学 · 计算机科学 2024-09-30 Muhammad Suhail Saleem , Rishi Veerapaneni , Maxim Likhachev

Partially Observable Markov Decision Processes (POMDPs) offer a promising world representation for autonomous agents, as they can model both transitional and perceptual uncertainties. Calculating the optimal solution to POMDP problems can…

人工智能 · 计算机科学 2022-10-25 Sigurdur Orn Adalgeirsson , Cynthia Breazeal

Value iteration is a powerful yet inefficient algorithm for Markov decision processes (MDPs) because it puts the majority of its effort into backing up the entire state space, which turns out to be unnecessary in many cases. In order to…

人工智能 · 计算机科学 2014-01-17 Peng Dai , Mausam , Daniel Sabby Weld , Judy Goldsmith

In off policy evaluation (OPE) for partially observable Markov decision processes (POMDPs), an agent must infer hidden states from past observations, which exacerbates both the curse of horizon and the curse of memory in existing OPE…

机器学习 · 统计学 2026-03-04 Youheng Zhu , Yiping Lu

This paper analyzes finite state Markov Decision Processes (MDPs) with uncertain parameters in compact sets and re-examines results from robust MDP via set-based fixed point theory. To this end, we generalize the Bellman and policy…

机器学习 · 计算机科学 2023-08-09 Sarah H. Q. Li , Assalé Adjé , Pierre-Loïc Garoche , Behçet Açıkmeşe

Most exact algorithms for general partially observable Markov decision processes (POMDPs) use a form of dynamic programming in which a piecewise-linear and convex representation of one value function is transformed into another. We examine…

人工智能 · 计算机科学 2013-02-08 Anthony R. Cassandra , Michael L. Littman , Nevin Lianwen Zhang

Recently discovered polyhedral structures of the value function for finite state-action discounted Markov decision processes (MDP) shed light on understanding the success of reinforcement learning. We investigate the value function polytope…

机器学习 · 计算机科学 2022-06-27 Yue Wu , Jesús A. De Loera

The key assumption underlying linear Markov Decision Processes (MDPs) is that the learner has access to a known feature map $\phi(x, a)$ that maps state-action pairs to $d$-dimensional vectors, and that the rewards and transitions are…

机器学习 · 计算机科学 2023-09-20 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

We study the exploration problem with approximate linear action-value functions in episodic reinforcement learning under the notion of low inherent Bellman error, a condition normally employed to show convergence of approximate value…

机器学习 · 计算机科学 2020-06-30 Andrea Zanette , Alessandro Lazaric , Mykel Kochenderfer , Emma Brunskill

Recent work on approximate linear programming (ALP) techniques for first-order Markov Decision Processes (FOMDPs) represents the value function linearly w.r.t. a set of first-order basis functions and uses linear programming techniques to…

人工智能 · 计算机科学 2012-07-02 Scott Sanner , Craig Boutilier

Policy iteration and value iteration are at the core of many (approximate) dynamic programming methods. For Markov Decision Processes with finite state and action spaces, we show that they are instances of semismooth Newton-type methods to…

最优化与控制 · 数学 2022-06-28 Matilde Gargiani , Andrea Zanelli , Dominic Liao-McPherson , Tyler Summers , John Lygeros

This paper proposes an integration of temporal logical reasoning and Partially Observable Markov Decision Processes (POMDPs) to achieve interpretable decision-making under uncertainty with macro-actions. Our method leverages a fragment of…

人工智能 · 计算机科学 2025-05-07 Celeste Veronese , Daniele Meli , Alessandro Farinelli

We present a novel POMDP planning algorithm called heuristic search value iteration (HSVI).HSVI is an anytime algorithm that returns a policy and a provable bound on its regret with respect to the optimal policy. HSVI gets its power by…

人工智能 · 计算机科学 2012-07-19 Trey Smith , Reid Simmons

Partially observable Markov decision processes (POMDPs) are a natural model for planning problems where effects of actions are nondeterministic and the state of the world is not completely observable. It is difficult to solve POMDPs…

人工智能 · 计算机科学 2009-09-25 N. L. Zhang , W. Liu

Partially Observable Markov Decision Processes (POMDPs) are a powerful framework for planning under uncertainty. They allow to model state uncertainty as a belief probability distribution. Approximate solvers based on Monte Carlo sampling…

人工智能 · 计算机科学 2024-03-01 Daniele Meli , Alberto Castellini , Alessandro Farinelli