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We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

Optimization and Control · Mathematics 2022-05-02 Johannes Müller , Guido Montúfar

This paper studies the synthesis of a joint control and active perception policy for a stochastic system modeled as a partially observable Markov decision process (POMDP), subject to temporal logic specifications. The POMDP actions…

Systems and Control · Electrical Eng. & Systems 2025-04-21 Chongyang Shi , Michael R. Dorothy , Jie Fu

Partially Observable Markov Decision Processes (POMDPs) are the standard framework for decision-making under uncertainty. While sampling-based methods scale well, they lack formal correctness guarantees, making them unsuitable for…

Artificial Intelligence · Computer Science 2026-05-15 Debraj Chakraborty , Anirban Majumdar , Prince Mathew , Sayan Mukherjee , Jean-François Raskin

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

This paper proposes a reinforcement learning method for controller synthesis of autonomous systems in unknown and partially-observable environments with subjective time-dependent safety constraints. Mathematically, we model the system…

Robotics · Computer Science 2021-04-06 Yu Wang , Alper Kamil Bozkurt , Miroslav Pajic

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

Many processes, such as discrete event systems in engineering or population dynamics in biology, evolve in discrete space and continuous time. We consider the problem of optimal decision making in such discrete state and action space…

Machine Learning · Computer Science 2020-10-27 Bastian Alt , Matthias Schultheis , Heinz Koeppl

Uncertainties in dynamic road environments pose significant challenges for behavior and trajectory planning in autonomous driving. This paper introduces Hi-Drive, a hierarchical planning algorithm addressing uncertainties at both behavior…

Robotics · Computer Science 2025-10-16 Xuanjin Jin , Chendong Zeng , Shengfa Zhu , Chunxiao Liu , Panpan Cai

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

Partially Observable Markov Decision Processes (POMDPs) are used to model environments where the full state cannot be perceived by an agent. As such the agent needs to reason taking into account the past observations and actions. However,…

Machine Learning · Computer Science 2023-10-27 Raphael Avalos , Florent Delgrange , Ann Nowé , Guillermo A. Pérez , Diederik M. Roijers

Partially observable Markov decision processes (POMDPs) offer a principled formalism for planning under state and transition uncertainty. Despite advances made towards solving large POMDPs, obtaining performant policies under limited…

Artificial Intelligence · Computer Science 2026-04-03 Zakariya Laouar , Qi Heng Ho , Zachary Sunberg

We study model-based learning of finite-window policies in tabular partially observable Markov decision processes (POMDPs). A common approach to learning under partial observability is to approximate unbounded history dependencies using…

Machine Learning · Computer Science 2026-04-02 Philip Jordan , Maryam Kamgarpour

Memoryless and finite-memory policies offer a practical alternative for solving partially observable Markov decision processes (POMDPs), as they operate directly in the output space rather than in the high-dimensional belief space. However,…

Machine Learning · Computer Science 2025-12-15 Roy van Zuijlen , Duarte Antunes

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…

Partially Observable Markov Decision Processes (POMDPs) are systems in which one agent interacts with a stochastic environment, and receives only partial information about the current state. In a multi-environment POMDP (MEPOMDP), the…

Artificial Intelligence · Computer Science 2026-05-11 Léonard Brice , Filip Cano , Krishnendu Chatterjee , Thomas A. Henzinger , Stefanie Muroya

Assistive systems for persons with cognitive disabilities (e.g. dementia) are difficult to build due to the wide range of different approaches people can take to accomplishing the same task, and the significant uncertainties that arise from…

Artificial Intelligence · Computer Science 2013-06-21 Marek Grzes , Jesse Hoey , Shehroz Khan , Alex Mihailidis , Stephen Czarnuch , Dan Jackson , Andrew Monk

Health-related data is noisy and stochastic in implying the true physiological states of patients, limiting information contained in single-moment observations for sequential clinical decision making. We model patient-clinician interactions…

Artificial Intelligence · Computer Science 2019-05-21 Luchen Li , Matthieu Komorowski , Aldo A. Faisal

Recent work in the behavioural sciences has begun to overturn the long-held belief that human decision making is irrational, suboptimal and subject to biases. This turn to the rational suggests that human decision making may be a better…

Machine Learning · Computer Science 2020-06-09 Haiyang Chen , Hyung Jin Chang , Andrew Howes

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

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
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