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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 partially observable Markov decision processes (POMDPs), that are a standard framework for robotics applications to model uncertainties present in the real world, with temporal logic specifications. All temporal logic…

Logic in Computer Science · Computer Science 2015-02-19 Krishnendu Chatterjee , Martin Chmelík , Raghav Gupta , Ayush Kanodia

Partially observable Markov decision processes (POMDPs) are a fundamental model for sequential decision-making under uncertainty. However, many verification and synthesis problems for POMDPs are undecidable or intractable. Most prominently,…

Artificial Intelligence · Computer Science 2026-04-23 Nathanaël Fijalkow , Arka Ghosh , Roman Kniazev , Guillermo A. Pérez , Pierre Vandenhove

We study observation-based strategies for partially-observable Markov decision processes (POMDPs) with omega-regular objectives. An observation-based strategy relies on partial information about the history of a play, namely, on the past…

Logic in Computer Science · Computer Science 2015-05-14 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

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

Partially observable Markov decision processes (POMDPs) form a prominent model for uncertainty in sequential decision making. We are interested in constructing algorithms with theoretical guarantees to determine whether the agent has a…

Artificial Intelligence · Computer Science 2024-12-17 Marius Belly , Nathanaël Fijalkow , Hugo Gimbert , Florian Horn , Guillermo A. Pérez , Pierre Vandenhove

Partially observable Markov decision processes (POMDPs) provide an elegant mathematical framework for modeling complex decision and planning problems in stochastic domains in which states of the system are observable only indirectly, via a…

Artificial Intelligence · Computer Science 2011-06-02 M. Hauskrecht

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

Robust Markov Decision Processes (RMDPs) generalize classical MDPs that consider uncertainties in transition probabilities by defining a set of possible transition functions. An objective is a set of runs (or infinite trajectories) of the…

Artificial Intelligence · Computer Science 2025-05-08 Ali Asadi , Krishnendu Chatterjee , Ehsan Kafshdar Goharshady , Mehrdad Karrabi , Ali Shafiee

Planning robust executions under uncertainty is a fundamental challenge for building autonomous robots. Partially Observable Markov Decision Processes (POMDPs) provide a standard framework for modeling uncertainty in many applications. In…

Robotics · Computer Science 2018-05-10 Yue Wang , Swarat Chaudhuri , Lydia E. Kavraki

A standard model that arises in several applications in sequential decision making is partially observable Markov decision processes (POMDPs) where a decision-making agent interacts with an uncertain environment. A basic objective in such…

Computational Complexity · Computer Science 2025-06-16 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Ali Shafiee

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…

Robotics · Computer Science 2021-07-19 Hanna Kurniawati

Markov Decision Processes (MDPs) model systems with uncertain transition dynamics. Multiple-environment MDPs (MEMDPs) extend MDPs. They intuitively reflect finite sets of MDPs that share the same state and action spaces but differ in the…

Logic in Computer Science · Computer Science 2024-07-10 Marnix Suilen , Marck van der Vegt , Sebastian Junges

Partially observable Markov decision processes (POMDPs) provide a flexible representation for real-world decision and control problems. However, POMDPs are notoriously difficult to solve, especially when the state and observation spaces are…

Artificial Intelligence · Computer Science 2023-10-20 Michael H. Lim , Tyler J. Becker , Mykel J. Kochenderfer , Claire J. Tomlin , Zachary N. Sunberg

Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the…

Computer Science and Game Theory · Computer Science 2022-09-29 Krishnendu Chatterjee , Raimundo Saona , Bruno Ziliotto

We consider the problem of minimizing a certainty equivalent of the total or discounted cost over a finite and an infinite time horizon which is generated by a Partially Observable Markov Decision Process (POMDP). The certainty equivalent…

Probability · Mathematics 2021-07-21 Nicole Bäuerle , Ulrich Rieder

We consider partially observable Markov decision processes (POMDPs) with a set of target states and every transition is associated with an integer cost. The optimization objective we study asks to minimize the expected total cost till the…

Artificial Intelligence · Computer Science 2014-11-17 Krishnendu Chatterjee , Martin Chmelík , Raghav Gupta , Ayush Kanodia

Partially Observable Markov Decision Processes (POMDPs) are a natural and general model in reinforcement learning that take into account the agent's uncertainty about its current state. In the literature on POMDPs, it is customary to assume…

Machine Learning · Computer Science 2022-03-24 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

This paper studies parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a finite set of parameters. Fixing values for all parameters…

Logic in Computer Science · Computer Science 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

We consider finite model approximations of discrete-time partially observed Markov decision processes (POMDPs) under the discounted cost criterion. After converting the original partially observed stochastic control problem to a fully…

Systems and Control · Computer Science 2017-10-20 Naci Saldi , Serdar Yüksel , Tamás Linder
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