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In this paper, we consider risk-sensitive Markov Decision Processes (MDPs) with Borel state and action spaces and unbounded cost under both finite and infinite planning horizons. Our optimality criterion is based on the recursive…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Alexander Glauner

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 many practical settings control decisions must be made under partial/imperfect information about the evolution of a relevant state variable. Partially Observable Markov Decision Processes (POMDPs) is a relatively well-developed framework…

Machine Learning · Computer Science 2021-12-30 Yanling Chang , Alfredo Garcia , Zhide Wang , Lu Sun

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

In many engineering systems, proper predictive maintenance and operational control are essential to increase efficiency and reliability while reducing maintenance costs. However, one of the major challenges is that many sensors are used for…

Applications · Statistics 2025-12-09 Boyang Xu , Yunyi Kang , Xinyu Zhao , Hao Yan , Feng Ju

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

Many medical decision-making tasks can be framed as partially observed Markov decision processes (POMDPs). However, prevailing two-stage approaches that first learn a POMDP and then solve it often fail because the model that best fits the…

Machine Learning · Statistics 2020-04-01 Joseph Futoma , Michael C. Hughes , Finale Doshi-Velez

We introduce a class of partially observed Markov decision processes (POMDPs) with costs that can depend on both the value and (future) uncertainty associated with the initial state. These Initial-State Cost POMDPs (ISC-POMDPs) enable the…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Timothy L. Molloy

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

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

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

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

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

We consider off-policy evaluation of dynamic treatment rules under sequential ignorability, given an assumption that the underlying system can be modeled as a partially observed Markov decision process (POMDP). We propose an estimator,…

Machine Learning · Computer Science 2023-05-10 Yuchen Hu , Stefan Wager

This paper addresses the problem of optimal control of robotic sensing systems aimed at autonomous information gathering in scenarios such as environmental monitoring, search and rescue, and surveillance and reconnaissance. The information…

Systems and Control · Computer Science 2016-01-28 Mikko Lauri , Nikolay Atanasov , George J. Pappas , Risto Ritala

Markov Decision Processes (MDPs) are stochastic optimization problems that model situations where a decision maker controls a system based on its state. Partially observed Markov decision processes (POMDPs) are generalizations of MDPs where…

Optimization and Control · Mathematics 2019-03-26 Victor Cohen , Axel Parmentier

We study policy optimization problems for deterministic Markov decision processes (MDPs) with metric state and action spaces, which we refer to as Metric Policy Optimization Problems (MPOPs). Our goal is to establish theoretical results on…

Optimization and Control · Mathematics 2022-07-14 Victor D. Dorobantu , Kamyar Azizzadenesheli , Yisong Yue

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

The focus of this paper is on solving multi-robot planning problems in continuous spaces with partial observability. Decentralized partially observable Markov decision processes (Dec-POMDPs) are general models for multi-robot coordination…

Multiagent Systems · Computer Science 2015-02-24 Shayegan Omidshafiei , Ali-akbar Agha-mohammadi , Christopher Amato , Jonathan P. How

Policies for Partially Observable Markov Decision Processes (POMDPs) are often designed using a nominal system model. In practice, this model can deviate from the true system during deployment due to factors such as calibration drift or…

Artificial Intelligence · Computer Science 2026-04-24 Benjamin Kraske , Qi Heng Ho , Federico Rossi , Morteza Lahijanian , Zachary Sunberg