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We present an alternative view for the study of optimal control of partially observed Markov Decision Processes (POMDPs). We first revisit the traditional (and by now standard) separated-design method of reducing the problem to fully…

Optimization and Control · Mathematics 2024-12-20 Serdar Yüksel

Standard algorithms for finding the shortest path in a graph require that the cost of a path be additive in edge costs, and typically assume that costs are deterministic. We consider the problem of uncertain edge costs, with potential…

Artificial Intelligence · Computer Science 2013-02-21 Michael P. Wellman , Matthew Ford , Kenneth Larson

Recently, the trend of incorporating differentiable algorithms into deep learning architectures arose in machine learning research, as the fusion of neural layers and algorithmic layers has been beneficial for handling combinatorial data,…

Machine Learning · Computer Science 2022-02-04 Alberto Archetti , Marco Cannici , Matteo Matteucci

POMDPs are standard models for probabilistic planning problems, where an agent interacts with an uncertain environment. We study the problem of almost-sure reachability, where given a set of target states, the question is to decide whether…

Artificial Intelligence · Computer Science 2015-11-30 Krishnendu Chatterjee , Martin Chmelik , Jessica Davies

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this paper, we study how to synthesize preference satisfying plans in stochastic systems, modeled as…

Artificial Intelligence · Computer Science 2022-10-06 Abhishek N. Kulkarni , Jie Fu

Autonomous motion planning under unknown nonlinear dynamics requires learning system properties while navigating toward a target. In this work, we develop a hierarchical planning-control framework that enables online motion synthesis with…

Robotics · Computer Science 2026-04-02 Zhiquan Zhang , Melkior Ornik

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 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

Constrained partially observable Markov decision processes (CPOMDPs) have been used to model various real-world phenomena. However, they are notoriously difficult to solve to optimality, and there exist only a few approximation methods for…

Artificial Intelligence · Computer Science 2023-06-27 Robert K. Helmeczi , Can Kavaklioglu , Mucahit Cevik

Multi-agent planning under stochastic dynamics is usually formalised using decentralized (partially observable) Markov decision processes ( MDPs) and reachability or expected reward specifications. In this paper, we propose a different…

Logic in Computer Science · Computer Science 2025-02-20 Francesco Pontiggia , Filip Macák , Roman Andriushchenko , Michele Chiari , Milan Češka

Obstacle clearance in state space is an important optimization objective in path planning because it can result in safe paths. This technical report presents admissible solution- and path-cost heuristics for this objective, which can be…

Robotics · Computer Science 2021-05-04 Marlin P. Strub , Jonathan D. Gammell

In the real world, planning is often challenged by distribution shifts. As such, a model of the environment obtained under one set of conditions may no longer remain valid as the distribution of states or the environment dynamics change,…

Artificial Intelligence · Computer Science 2026-03-02 Matteo Ceriscioli , Karthika Mohan

We investigate partially observed Markov decision processes (POMDPs) with cost functions regularized by entropy terms describing state, observation, and control uncertainty. Standard POMDP techniques are shown to offer bounded-error…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Timothy L. Molloy , Girish N. Nair

A nonparametric procedure to estimate the conditional probability that a nonstationary geostatistical process exceeds a certain threshold value is proposed. The method consists of a bootstrap algorithm that combines conditional simulation…

Coordinating multiple interacting agents to achieve a common goal is a difficult task with huge applicability. This problem remains hard to solve, even when limiting interactions to be mediated via a static interaction-graph. We present a…

Machine Learning · Computer Science 2020-07-01 Dominik Linzner , Heinz Koeppl

Autonomous agents that operate in the real world must often deal with partial observability, which is commonly modeled as partially observable Markov decision processes (POMDPs). However, traditional POMDP models rely on the assumption of…

Artificial Intelligence · Computer Science 2023-08-03 Moran Barenboim , Idan Lev-Yehudi , Vadim Indelman

Robust POMDPs extend classical POMDPs to incorporate model uncertainty using so-called uncertainty sets on the transition and observation functions, effectively defining ranges of probabilities. Policies for robust POMDPs must be (1)…

Artificial Intelligence · Computer Science 2025-08-27 Maris F. L. Galesloot , Marnix Suilen , Thiago D. Simão , Steven Carr , Matthijs T. J. Spaan , Ufuk Topcu , Nils Jansen

Scheduling is a key decision-making process to improve the performance of flexible manufacturing systems. Place-timed Petri nets provide a formal method for graphically modeling and analyzing such systems. By generating reachability graphs…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Zhou He , Ning Li , Ning Ran , Liang Li

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

A crucial challenge to efficient and robust motion planning for autonomous vehicles is understanding the intentions of the surrounding agents. Ignoring the intentions of the other agents in dynamic environments can lead to risky or…

Robotics · Computer Science 2019-04-05 Xin Huang , Sungkweon Hong , Andreas Hofmann , Brian C. Williams