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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) are a general framework for sequential decision-making under latent state uncertainty, yet learning in POMDPs is intractable in the worst case. Motivated by sensing and probing…

Machine Learning · Computer Science 2026-01-27 Ming Shi , Yingbin Liang , Ness B. Shroff

Robust Markov decision processes (MDPs) allow to compute reliable solutions for dynamic decision problems whose evolution is modeled by rewards and partially-known transition probabilities. Unfortunately, accounting for uncertainty in the…

Machine Learning · Computer Science 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

We develop a qualitative theory of Markov Decision Processes (MDPs) and Partially Observable MDPs that can be used to model sequential decision making tasks when only qualitative information is available. Our approach is based upon an…

Artificial Intelligence · Computer Science 2013-01-07 Blai Bonet , Judea Pearl

Searching for objects in cluttered environments requires selecting efficient viewpoints and manipulation actions to remove occlusions and reduce uncertainty in object locations, shapes, and categories. In this work, we address the problem…

We consider real-time remote tracking of a Markov source observed by multiple heterogeneous sensors with state-dependent sensing accuracy, motivated by distributed camera networks with overlapping coverage and spatial blind spots. Upon…

Signal Processing · Electrical Eng. & Systems 2026-03-11 Jiapei Tian , Abolfazl Zakeri , Marian Codreanu , David Gundlegård

Decision making under uncertainty is at the heart of any autonomous system acting with imperfect information. The cost of solving the decision making problem is exponential in the action and observation spaces, thus rendering it unfeasible…

Artificial Intelligence · Computer Science 2024-06-18 Tom Yotam , Vadim Indelman

In real-world scenarios, the observation data for reinforcement learning with continuous control is commonly noisy and part of it may be dynamically missing over time, which violates the assumption of many current methods developed for…

Machine Learning · Computer Science 2019-02-18 Yuhui Wang , Hao He , Xiaoyang Tan

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

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 give polynomial time algorithms for quantitative (and qualitative) reachability analysis for Branching Markov Decision Processes (BMDPs). Specifically, given a BMDP, and given an initial population, where the objective of the controller…

Computational Complexity · Computer Science 2016-04-08 Kousha Etessami , Alistair Stewart , Mihalis Yannakakis

We propose a new point-based method for approximate planning in Dec-POMDP which outperforms the state-of-the-art approaches in terms of solution quality. It uses a heuristic estimation of the prior probability of beliefs to choose a bounded…

Artificial Intelligence · Computer Science 2012-03-19 Gabriel Corona , Francois Charpillet

This paper proposes Partially Observable Reference Policy Programming, a novel anytime online approximate POMDP solver which samples meaningful future histories very deeply while simultaneously forcing a gradual policy update. We provide…

Artificial Intelligence · Computer Science 2025-07-17 Edward Kim , Hanna Kurniawati

Monotonic Partially Observable Markov Decision Processes (POMDPs), where the system state progressively decreases until a restorative action is performed, can be used to model sequential repair problems effectively. This paper considers the…

Machine Learning · Computer Science 2025-09-17 Manav Vora , Jonas Liang , Michael N. Grussing , Melkior Ornik

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…

Artificial Intelligence · Computer Science 2024-07-12 Alyzia-Maria Konsta , Alberto Lluch Lafuente , Christoph Matheja

The increasing use of autonomous robot systems in hazardous environments underscores the need for efficient search and rescue operations. Despite significant advancements, existing literature on object search often falls short in overcoming…

Robotics · Computer Science 2024-04-08 Matthew Collins , Jared J. Beard , Nicholas Ohi , Yu Gu

Partially Observable Markov Decision Processes (POMDPs) remain a core challenge in reinforcement learning due to incomplete state information. We address this by reformulating POMDPs as fully observable processes with fixed-length…

Machine Learning · Computer Science 2025-09-16 Wuhao Wang , Zhiyong Chen

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…

Artificial Intelligence · Computer Science 2021-03-23 Vincent Thomas , Gérémy Hutin , Olivier Buffet

We consider the problem: is the optimal expected total reward to reach a goal state in a partially observable Markov decision process (POMDP) below a given threshold? We tackle this -- generally undecidable -- problem by computing…

Artificial Intelligence · Computer Science 2022-01-24 Alexander Bork , Joost-Pieter Katoen , Tim Quatmann

We propose a new approach to value-directed belief state approximation for POMDPs. The value-directed model allows one to choose approximation methods for belief state monitoring that have a small impact on decision quality. Using a vector…

Artificial Intelligence · Computer Science 2013-01-14 Pascal Poupart , Craig Boutilier
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