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A standard objective in partially-observable Markov decision processes (POMDPs) is to find a policy that maximizes the expected discounted-sum payoff. However, such policies may still permit unlikely but highly undesirable outcomes, which…

Artificial Intelligence · Computer Science 2017-01-31 Krishnendu Chatterjee , Petr Novotný , Guillermo A. Pérez , Jean-François Raskin , Đorđe Žikelić

Partially observable Markov decision processes (POMDPs) provide a modeling framework for a variety of sequential decision making under uncertainty scenarios in artificial intelligence (AI). Since the states are not directly observable in a…

Systems and Control · Computer Science 2019-05-21 Mohamadreza Ahmadi , Nils Jansen , Bo Wu , Ufuk Topcu

Partially Observable Markov Decision Processes (POMDPs) offer an elegant framework to model sequential decision making in uncertain environments. Solving POMDPs online is an active area of research and given the size of real-world problems…

Artificial Intelligence · Computer Science 2018-04-10 Sankalp Arora , Sanjiban Choudhury , Sebastian Scherer

Many real-world decision problems involve the interaction of multiple self-interested agents with limited sensing ability. The partially observable stochastic game (POSG) provides a mathematical framework for modeling these problems,…

Computer Science and Game Theory · Computer Science 2024-10-30 Tyler Becker , Zachary Sunberg

Active classification, i.e., the sequential decision-making process aimed at data acquisition for classification purposes, arises naturally in many applications, including medical diagnosis, intrusion detection, and object tracking. In this…

Systems and Control · Computer Science 2018-10-02 Bo Wu , Mohamadreza Ahmadi , Suda Bharadwaj , Ufuk Topcu

Reward optimization in fully observable Markov decision processes is equivalent to a linear program over the polytope of state-action frequencies. Taking a similar perspective in the case of partially observable Markov decision processes…

Machine Learning · Computer Science 2022-05-30 Johannes Müller , Guido Montúfar

POMDPs capture a broad class of decision making problems, but hardness results suggest that learning is intractable even in simple settings due to the inherent partial observability. However, in many realistic problems, more information is…

Machine Learning · Computer Science 2023-02-07 Jonathan N. Lee , Alekh Agarwal , Christoph Dann , Tong Zhang

Partially Observable Markov Decision Processes (POMDPs) are powerful models for sequential decision making under transition and observation uncertainties. This paper studies the challenging yet important problem in POMDPs known as the…

Artificial Intelligence · Computer Science 2024-06-06 Qi Heng Ho , Martin S. Feather , Federico Rossi , Zachary N. Sunberg , Morteza Lahijanian

We study the problem of synthesizing a controller that maximizes the entropy of a partially observable Markov decision process (POMDP) subject to a constraint on the expected total reward. Such a controller minimizes the predictability of a…

Optimization and Control · Mathematics 2019-09-16 Michael Hibbard , Yagiz Savas , Bo Wu , Takashi Tanaka , Ufuk Topcu

Recent benchmarks for memory-augmented reinforcement learning (RL) have introduced partially observable Markov decision process (POMDP) environments in which agents must use historical observations to make decisions. However, these…

Artificial Intelligence · Computer Science 2026-04-15 Yongyi Wang , Lingfeng Li , Bozhou Chen , Ang Li , Hanyu Liu , Qirui Zheng , Xionghui Yang , Wenxin Li

Uncertain partially observable Markov decision processes (uPOMDPs) allow the probabilistic transition and observation functions of standard POMDPs to belong to a so-called uncertainty set. Such uncertainty, referred to as epistemic…

Artificial Intelligence · Computer Science 2021-11-02 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Ahmadreza Marandi , Marnix Suilen , Ufuk Topcu

In this review/tutorial article, we present recent progress on optimal control of partially observed Markov Decision Processes (POMDPs). We first present regularity and continuity conditions for POMDPs and their belief-MDP reductions, where…

Optimization and Control · Mathematics 2025-01-03 Ali Devran Kara , Serdar Yuksel

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

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

Many communication and control problems are cast as multi-objective Markov decision processes (MOMDPs). The complete solution to an MOMDP is the Pareto front. Much of the literature approximates this front via scalarization into…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Jiping Luo , Nikolaos Pappas

Planning and learning in Partially Observable MDPs (POMDPs) are among the most challenging tasks in both the AI and Operation Research communities. Although solutions to these problems are intractable in general, there might be special…

Artificial Intelligence · Computer Science 2012-07-09 Eyal Even-Dar , Sham M. Kakade , Yishay Mansour

In many real-world problems, there is the possibility to configure, to a limited extent, some environmental parameters to improve the performance of a learning agent. In this paper, we propose a novel framework, Configurable Markov Decision…

Artificial Intelligence · Computer Science 2018-06-15 Alberto Maria Metelli , Mirco Mutti , Marcello Restelli

Partially-observable Markov decision processes (POMDPs) with discounted-sum payoff are a standard framework to model a wide range of problems related to decision making under uncertainty. Traditionally, the goal has been to obtain policies…

Artificial Intelligence · Computer Science 2018-05-01 Krishnendu Chatterjee , Adrián Elgyütt , Petr Novotný , Owen Rouillé

This paper is devoted to fair optimization in Multiobjective Markov Decision Processes (MOMDPs). A MOMDP is an extension of the MDP model for planning under uncertainty while trying to optimize several reward functions simultaneously. This…

Artificial Intelligence · Computer Science 2013-09-27 Patrice Perny , Paul Weng , Judy Goldsmith , Josiah Hanna
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