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We study the problem of controlling a partially observed Markov decision process (POMDP) to either aid or hinder the estimation of its state trajectory. We encode the estimation objectives via the smoother entropy, which is the conditional…

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

The main goal in task planning is to build a sequence of actions that takes an agent from an initial state to a goal state. In robotics, this is particularly difficult because actions usually have several possible results, and sensors are…

Artificial Intelligence · Computer Science 2021-04-12 Sergio A. Serrano , Elizabeth Santiago , Jose Martinez-Carranza , Eduardo Morales , L. Enrique Sucar

We introduce a mesh-type approach for tackling discrete-time, finite-horizon Markov Decision Processes (MDPs) characterized by state and action spaces that are general, encompassing both finite and infinite (yet suitably regular) subsets of…

Optimization and Control · Mathematics 2024-07-02 Denis Belomestny , John Schoenmakers

Processes (MDPs) often require frequent decision making, that is, taking an action every microsecond, second, or minute. Infinite horizon discount reward formulation is still relevant for a large portion of these applications, because…

Optimization and Control · Mathematics 2014-12-17 Yin-Lam Chow , Junjie Qin

We consider a class of sequential decision-making problems under uncertainty that can encompass various types of supervised learning concepts. These problems have a completely observed state process and a partially observed modulation…

Optimization and Control · Mathematics 2021-08-24 R. Reid Bishop , Chelsea C. White

The partially observable Markov decision process (POMDP) provides a principled general model for planning under uncertainty. However, solving a general POMDP is computationally intractable in the worst case. This paper introduces…

Artificial Intelligence · Computer Science 2016-02-24 Min Chen , Emilio Frazzoli , David Hsu , Wee Sun Lee

Partially observable Markov decision processes (POMDPs) with continuous state and observation spaces have powerful flexibility for representing real-world decision and control problems but are notoriously difficult to solve. Recent online…

Machine Learning · Computer Science 2023-06-06 Michael H. Lim , Claire J. Tomlin , Zachary N. Sunberg

This paper deals with control of partially observable discrete-time stochastic systems. It introduces and studies Markov Decision Processes with Incomplete Information and with semi-uniform Feller transition probabilities. The important…

Optimization and Control · Mathematics 2022-08-30 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

Current work in explainable reinforcement learning generally produces policies in the form of a decision tree over the state space. Such policies can be used for formal safety verification, agent behavior prediction, and manual inspection…

Machine Learning · Computer Science 2021-02-26 Nicholay Topin , Stephanie Milani , Fei Fang , Manuela Veloso

Partially Observable Markov Decision Processes (POMDPs) remain a core challenge in reinforcement learning due to incomplete state information. We address this by reformulating POMDPs as fully observable processes with fixed-length…

Machine Learning · Computer Science 2025-09-16 Wuhao Wang , Zhiyong Chen

In this paper, we study representation learning in partially observable Markov Decision Processes (POMDPs), where the agent learns a decoder function that maps a series of high-dimensional raw observations to a compact representation and…

Machine Learning · Computer Science 2023-06-22 Jiacheng Guo , Zihao Li , Huazheng Wang , Mengdi Wang , Zhuoran Yang , Xuezhou Zhang

Gradient-based approaches to direct policy search in reinforcement learning have received much recent attention as a means to solve problems of partial observability and to avoid some of the problems associated with policy degradation in…

Artificial Intelligence · Computer Science 2019-11-18 Jonathan Baxter , Peter L. Bartlett

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

Robotics · Computer Science 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

Markov decision processes are widely used for planning and verification in settings that combine controllable or adversarial choices with probabilistic behaviour. The standard analysis algorithm, value iteration, only provides a lower bound…

Logic in Computer Science · Computer Science 2019-10-21 Arnd Hartmanns , Benjamin Lucien Kaminski

Autonomous agents that drive on roads shared with human drivers must reason about the nuanced interactions among traffic participants. This poses a highly challenging decision making problem since human behavior is influenced by a multitude…

Robotics · Computer Science 2023-03-30 Salar Arbabi , Davide Tavernini , Saber Fallah , Richard Bowden

Many real-world problems rely on finding eigenvalues and eigenvectors of a matrix. The power iteration algorithm is a simple method for determining the largest eigenvalue and associated eigenvector of a general matrix. This algorithm relies…

Numerical Analysis · Mathematics 2021-09-23 Congzhou M Sha , Nikolay V Dokholyan

Belief compression improves the tractability of large-scale partially observable Markov decision processes (POMDPs) by finding projections from high-dimensional belief space onto low-dimensional approximations, where solving to obtain…

Artificial Intelligence · Computer Science 2015-08-06 Zhuoran Wang , Paul A. Crook , Wenshuo Tang , Oliver Lemon

Markov decision processes (MDPs) are a popular model for performance analysis and optimization of stochastic systems. The parameters of stochastic behavior of MDPs are estimates from empirical observations of a system; their values are not…

Artificial Intelligence · Computer Science 2017-10-26 Dimitri Scheftelowitsch , Peter Buchholz , Vahid Hashemi , Holger Hermanns

Two standard models for probabilistic systems are Markov chains (MCs) and Markov decision processes (MDPs). Classic objectives for such probabilistic models for control and planning problems are reachability and stochastic shortest path.…

Artificial Intelligence · Computer Science 2025-05-13 Krishnendu Chatterjee , Mahdi JafariRaviz , Raimundo Saona , Jakub Svoboda

The increasing trend to integrate neural networks and conventional software components in safety-critical settings calls for methodologies for their formal modelling, verification and correct-by-construction policy synthesis. We introduce…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Rui Yan , Gabriel Santos , Gethin Norman , David Parker , Marta Kwiatkowska