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Partially Observable Markov Decision Processes (POMDPs) provide a principled mathematical framework for decision-making under uncertainty. However, the exact solution to POMDPs is computationally intractable. In this paper, we address the…

Robotics · Computer Science 2026-04-03 Da Kong , Vadim Indelman

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…

Machine Learning · Computer Science 2026-04-02 Philip Jordan , Maryam Kamgarpour

Partially-Observable Markov Decision Processes (POMDPs) are a well-known stochastic model for sequential decision making under limited information. We consider the EXPTIME-hard problem of synthesising policies that almost-surely reach some…

Artificial Intelligence · Computer Science 2021-03-22 Sebastian Junges , Nils Jansen , Sanjit A. Seshia

Managing announced task completion times is a fundamental control problem in project management. While extensive research exists on estimating task durations and task scheduling, the problem of when and how to update completion times…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Duncan Eddy , Esen Yel , Emma Passmore , Niles Egan , Grayson Armour , Dylan M. Asmar , Mykel J. Kochenderfer

We consider the problem belief-state monitoring for the purposes of implementing a policy for a partially-observable Markov decision process (POMDP), specifically how one might approximate the belief state. Other schemes for belief-state…

Artificial Intelligence · Computer Science 2013-01-18 Pascal Poupart , Craig Boutilier

We study synthesis problems with constraints in partially observable Markov decision processes (POMDPs), where the objective is to compute a strategy for an agent that is guaranteed to satisfy certain safety and performance specifications.…

Partially Observable Markov Decision Process (POMDP) is a framework applicable to many real world problems. In this work, we propose an approach to solve POMDPs with multimodal belief by relying on a policy that solves the fully observable…

Machine Learning · Computer Science 2022-07-26 András Attila Sulyok , Kristóf Karacs

Many processes, such as discrete event systems in engineering or population dynamics in biology, evolve in discrete space and continuous time. We consider the problem of optimal decision making in such discrete state and action space…

Machine Learning · Computer Science 2020-10-27 Bastian Alt , Matthias Schultheis , Heinz Koeppl

Partially Observable Markov Decision Processes (POMDPs) provide a rich framework for sequential decision-making under uncertainty in stochastic domains. However, solving a POMDP is often intractable except for small problems due to their…

Artificial Intelligence · Computer Science 2014-01-16 Stéphane Ross , Joelle Pineau , Sébastien Paquet , Brahim Chaib-draa

Designing efficient and rigorous numerical methods for sequential decision-making under uncertainty is a difficult problem that arises in many applications frameworks. In this paper we focus on the numerical solution of a subclass of…

Statistics Theory · Mathematics 2025-11-07 Alice Cleynen , Benoîte de Saporta

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

Optimization and Control · Mathematics 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

This paper marries two state-of-the-art controller synthesis methods for partially observable Markov decision processes (POMDPs), a prominent model in sequential decision making under uncertainty. A central issue is to find a POMDP…

Logic in Computer Science · Computer Science 2023-05-30 Roman Andriushchenko , Alexander Bork , Milan Češka , Sebastian Junges , Joost-Pieter Katoen , Filip Macák

Partially observable Markov decision processes (POMDPs) are a central model for uncertainty in sequential decision making. The most basic objective is the reachability objective, where a target set must be eventually visited, and the more…

Computational Complexity · Computer Science 2025-12-09 Ali Asadi , Krishnendu Chatterjee , David Lurie , Raimundo Saona

Partially observable Markov decision processes (POMDPs) are a principled planning model for sequential decision-making under uncertainty. Yet, real-world problems with high-dimensional observations, such as camera images, remain intractable…

Machine Learning · Computer Science 2026-02-06 Miriam Schäfers , Merlijn Krale , Thiago D. Simão , Nils Jansen , Maximilian Weininger

Partially Observable Markov Decision Processes (POMDPs) are a fundamental framework for decision-making under uncertainty and partial observability. Since in general optimal policies may require infinite memory, they are hard to implement…

Artificial Intelligence · Computer Science 2026-04-30 Muqsit Azeem , Debraj Chakraborty , Sudeep Kanav , Jan Kretinsky

Partially observable Markov decision processes (POMDPs) are widely used in probabilistic planning problems in which an agent interacts with an environment using noisy and imprecise sensors. We study a setting in which the sensors are only…

Artificial Intelligence · Computer Science 2017-10-03 Krishnendu Chatterjee , Martin Chmelik , Ufuk Topcu

Markov Decision Processes (MDPs) are a popular class of models suitable for solving control decision problems in probabilistic reactive systems. We consider parametric MDPs (pMDPs) that include parameters in some of the transition…

Logic in Computer Science · Computer Science 2018-06-14 Sebastian Arming , Ezio Bartocci , Krishnendu Chatterjee , Joost-Pieter Katoen , Ana Sokolova

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

Artificial Intelligence · Computer Science 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

Solving partially observable Markov decision processes (POMDPs) is highly intractable in general, at least in part because the optimal policy may be infinitely large. In this paper, we explore the problem of finding the optimal policy from…

Artificial Intelligence · Computer Science 2013-01-30 Nicolas Meuleau , Kee-Eung Kim , Leslie Pack Kaelbling , Anthony R. Cassandra

This work studies the problem of batch off-policy evaluation for Reinforcement Learning in partially observable environments. Off-policy evaluation under partial observability is inherently prone to bias, with risk of arbitrarily large…

Machine Learning · Computer Science 2019-11-26 Guy Tennenholtz , Shie Mannor , Uri Shalit
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