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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

Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance and inspection of a group of infrastructure components with…

Optimization and Control · Mathematics 2024-08-15 Manav Vora , Pranay Thangeda , Michael N. Grussing , Melkior Ornik

Model checking undiscounted reachability and expected-reward properties on Markov decision processes (MDPs) is key for the verification of systems that act under uncertainty. Popular algorithms are policy iteration and variants of value…

Logic in Computer Science · Computer Science 2023-01-25 Arnd Hartmanns , Sebastian Junges , Tim Quatmann , Maximilian Weininger

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

Effective decision-making in autonomous driving relies on accurate inference of other traffic agents' future behaviors. To achieve this, we propose an online belief-update-based behavior prediction model and an efficient planner for…

Robotics · Computer Science 2024-06-19 Zhiyu Huang , Chen Tang , Chen Lv , Masayoshi Tomizuka , Wei Zhan

Planning under process and measurement uncertainties is a challenging problem. In its most general form it can be modeled as a Partially Observed Markov Decision Process (POMDP) problem. However POMDPs are generally difficult to solve when…

Robotics · Computer Science 2016-11-15 Mohammadhussein Rafieisakhaei , Amirhossein Tamjidi , Suman Chakravorty , P. R. Kumar

Partially observable Markov decision processes (POMDPs) are used to model a wide range of applications, including robotics, autonomous vehicles, and subsurface problems. However, accurately representing the belief is difficult for POMDPs…

Artificial Intelligence · Computer Science 2025-05-20 Antoine Bigeard , Anthony Corso , Mykel Kochenderfer

Markov decision processes (MDPs) are used to model stochastic systems in many applications. Several efficient algorithms to compute optimal policies have been studied in the literature, including value iteration (VI) and policy iteration.…

Optimization and Control · Mathematics 2021-08-30 Vineet Goyal , Julien Grand-Clement

This paper investigates manipulation of multiple unknown objects in a crowded environment. Because of incomplete knowledge due to unknown objects and occlusions in visual observations, object observations are imperfect and action success is…

Robotics · Computer Science 2014-07-09 Joni Pajarinen , Ville Kyrki

Real-world planning problems, including autonomous driving and sustainable energy applications like carbon storage and resource exploration, have recently been modeled as partially observable Markov decision processes (POMDPs) and solved…

Artificial Intelligence · Computer Science 2024-08-01 Robert J. Moss , Anthony Corso , Jef Caers , Mykel J. Kochenderfer

This paper studies an accelerated fitted value iteration (FVI) algorithm to solve high-dimensional Markov decision processes (MDPs). FVI is an approximate dynamic programming algorithm that has desirable theoretical properties. However, it…

Optimization and Control · Mathematics 2020-11-30 Sixiang Zhao , William B. Haskell , Michel-Alexandre Cardin

We consider the problem of imitation learning from expert demonstrations in partially observable Markov decision processes (POMDPs). Belief representations, which characterize the distribution over the latent states in a POMDP, have been…

Machine Learning · Computer Science 2019-06-25 Tanmay Gangwani , Joel Lehman , Qiang Liu , Jian Peng

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…

Artificial Intelligence · Computer Science 2025-05-07 Celeste Veronese , Daniele Meli , Alessandro Farinelli

Partially Observable Markov Decision Processes (POMDPs) are systems in which one agent interacts with a stochastic environment, and receives only partial information about the current state. In a multi-environment POMDP (MEPOMDP), the…

Artificial Intelligence · Computer Science 2026-05-11 Léonard Brice , Filip Cano , Krishnendu Chatterjee , Thomas A. Henzinger , Stefanie Muroya

We consider partially observable Markov decision processes (POMDPs) with {\omega}-regular conditions specified as parity objectives. The class of {\omega}-regular languages extends regular languages to infinite strings and provides a robust…

Logic in Computer Science · Computer Science 2013-09-12 Krishnendu Chatterjee , Martin Chmelik , Mathieu Tracol

We consider a class of partially observable Markov decision processes (POMDPs) with uncertain transition and/or observation probabilities. The uncertainty takes the form of probability intervals. Such uncertain POMDPs can be used, for…

Systems and Control · Computer Science 2018-07-12 Mohamadreza Ahmadi , Murat Cubuktepe , Nils Jansen , Ufuk Topcu

This paper introduces algorithms for problems where a decision maker has to control a system composed of several components and has access to only partial information on the state of each component. Such problems are difficult because of…

Optimization and Control · Mathematics 2020-12-25 Victor Cohen , Axel Parmentier

Hierarchical clustering has been shown to be valuable in many scenarios. Despite its usefulness to many situations, there is no agreed methodology on how to properly evaluate the hierarchies produced from different techniques, particularly…

Machine Learning · Statistics 2020-12-09 Weipeng Huang , Guangyuan Piao , Raul Moreno , Neil J. Hurley

Partially Observable Markov Decision Processes (POMDPs) provide a structured framework for decision-making under uncertainty, but their application requires efficient belief updates. Sequential Importance Resampling Particle Filters…

Artificial Intelligence · Computer Science 2025-03-05 Jiho Lee , Nisar R. Ahmed , Kyle H. Wray , Zachary N. Sunberg

Partially Observable Markov Decision Processes (POMDPs) are fundamental to many real-world applications. Although reinforcement learning (RL) has shown success in fully observable domains, learning policies from traces in partially…

Machine Learning · Computer Science 2025-08-05 Yuly Wu , Jiamou Liu , Libo Zhang