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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

In the theory of Partially Observed Markov Decision Processes (POMDPs), existence of optimal policies have in general been established via converting the original partially observed stochastic control problem to a fully observed one on the…

Optimization and Control · Mathematics 2022-01-11 Ali Devran Kara , Serdar Yuksel

We study planning problems where autonomous agents operate inside environments that are subject to uncertainties and not fully observable. Partially observable Markov decision processes (POMDPs) are a natural formal model to capture such…

Artificial Intelligence · Computer Science 2018-02-28 Steven Carr , Nils Jansen , Ralf Wimmer , Jie Fu , Ufuk Topcu

Safe autonomous navigation is an essential and challenging problem for robots operating in highly unstructured or completely unknown environments. Under these conditions, not only robotic systems must deal with limited localisation…

Robotics · Computer Science 2020-05-27 Èric Pairet , Juan David Hernández , Marc Carreras , Yvan Petillot , Morteza Lahijanian

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

Artificial Intelligence · Computer Science 2013-01-30 Hagit Shatkay

This paper proposes a formal approach to online learning and planning for agents operating in a priori unknown, time-varying environments. The proposed method computes the maximally likely model of the environment, given the observations…

Machine Learning · Computer Science 2021-02-09 Melkior Ornik , Ufuk Topcu

Most, if not all, robot navigation systems employ a decomposed planning framework that includes global and local planning. To trade-off onboard computation and plan quality, current systems have to limit all robot dynamics considerations…

Robotics · Computer Science 2025-10-08 Yuanjie Lu , Tong Xu , Linji Wang , Nick Hawes , Xuesu Xiao

Online planning under uncertainty in partially observable domains is an essential capability in robotics and AI. The partially observable Markov decision process (POMDP) is a mathematically principled framework for addressing…

Robotics · Computer Science 2024-10-14 Da Kong , Vadim Indelman

The global capacity for mineral processing must expand rapidly to meet the demand for critical minerals, which are essential for building the clean energy technologies necessary to mitigate climate change. However, the efficiency of mineral…

Systems and Control · Electrical Eng. & Systems 2026-05-15 William Xu , Amir Eskanlou , Mansur Arief , David Zhen Yin , Jef K. Caers

We consider the problem of designing policies for partially observable Markov decision processes (POMDPs) with dynamic coherent risk objectives. Synthesizing risk-averse optimal policies for POMDPs requires infinite memory and thus…

Robotics · Computer Science 2019-09-30 Mohamadreza Ahmadi , Masahiro Ono , Michel D. Ingham , Richard M. Murray , Aaron D. Ames

In recent years several learning approaches to point goal navigation in previously unseen environments have been proposed. They vary in the representations of the environments, problem decomposition, and experimental evaluation. In this…

Robotics · Computer Science 2022-12-20 Yimeng Li , Arnab Debnath , Gregory J. Stein , Jana Kosecka

Representing and reasoning about uncertainty is crucial for autonomous agents acting in partially observable environments with noisy sensors. Partially observable Markov decision processes (POMDPs) serve as a general framework for…

Robotics · Computer Science 2022-12-12 Aidan Curtis , Leslie Kaelbling , Siddarth Jain

Autonomous systems are often required to operate in partially observable environments. They must reliably execute a specified objective even with incomplete information about the state of the environment. We propose a methodology to…

Artificial Intelligence · Computer Science 2020-01-14 Maxime Bouton , Jana Tumova , Mykel J. Kochenderfer

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (or minimize…

Optimization and Control · Mathematics 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

Navigating in environments alongside humans requires agents to reason under uncertainty and account for the beliefs and intentions of those around them. Under a sequential decision-making framework, egocentric navigation can naturally be…

Artificial Intelligence · Computer Science 2025-09-03 Kevin Alcedo , Pedro U. Lima , Rachid Alami

Unmanned aircraft systems (UAS) are being increasingly adopted for various applications. The risk UAS poses to people and property must be kept to acceptable levels. This paper proposes risk-aware contingency management autonomy to prevent…

Robotics · Computer Science 2023-04-04 Prashin Sharma , Benjamin Kraske , Joseph Kim , Zakariya Laouar , Zachary Sunberg , Ella Atkins

In this work, we study the problem of actively classifying the attributes of dynamical systems characterized as a finite set of Markov decision process (MDP) models. We are interested in finding strategies that actively interact with the…

Systems and Control · Electrical Eng. & Systems 2023-01-06 Bo Wu , Niklas Lauffer , Mohamadreza Ahmadi , Suda Bharadwaj , Zhe Xu , Ufuk Topcu

In this paper, we consider the problem of optimizing the worst-case behavior of a partially observed system. All uncontrolled disturbances are modeled as finite-valued uncertain variables. Using the theory of cost distributions, we present…

Optimization and Control · Mathematics 2023-02-21 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

The synthesis problem for partially observable Markov decision processes (POMDPs) is to compute a policy that satisfies a given specification. Such policies have to take the full execution history of a POMDP into account, rendering the…

Artificial Intelligence · Computer Science 2020-07-20 Leonore Winterer , Ralf Wimmer , Nils Jansen , Bernd Becker

Partially Observable Markov Decision Processes (POMDPs) model decision making under uncertainty. While there are many approaches to approximately solving POMDPs, we aim to address the problem of learning such models. In particular, we are…

Artificial Intelligence · Computer Science 2025-05-13 Aidan Curtis , Hao Tang , Thiago Veloso , Kevin Ellis , Joshua Tenenbaum , Tomás Lozano-Pérez , Leslie Pack Kaelbling