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Exposure to air pollution is associated with increased morbidity and mortality. Recent technological advancements permit the collection of time-resolved personal exposure data. Such data are often incomplete with missing observations and…

We consider the problem of optimally designing a system for repeated use under uncertainty. We develop a modeling framework that integrates design and operational phases, which are represented by a mixed-integer program and discounted-cost…

Optimization and Control · Mathematics 2024-03-25 Seth Brown , Saumya Sinha , Andrew J Schaefer

We analyse a version of the policy iteration algorithm for the discounted infinite-horizon problem for controlled multidimensional diffusion processes, where both the drift and the diffusion coefficient can be controlled. We prove that,…

Probability · Mathematics 2017-07-26 Saul D. Jacka , Aleksandar Mijatovic , Dejan Siraj

This article introduces an imitation learning method for learning maximum entropy policies that comply with constraints demonstrated by expert trajectories executing a task. The formulation of the method takes advantage of results…

Machine Learning · Computer Science 2025-07-10 George Papadopoulos , George A. Vouros

We propose a general framework for entropy-regularized average-reward reinforcement learning in Markov decision processes (MDPs). Our approach is based on extending the linear-programming formulation of policy optimization in MDPs to…

Machine Learning · Computer Science 2017-05-23 Gergely Neu , Anders Jonsson , Vicenç Gómez

We consider Incentive Decision Processes, where a principal seeks to reduce its costs due to another agent's behavior, by offering incentives to the agent for alternate behavior. We focus on the case where a principal interacts with a…

Computer Science and Game Theory · Computer Science 2012-10-19 Sashank J. Reddi , Emma Brunskill

A popular perspective in Reinforcement learning (RL) casts the problem as probabilistic inference on a graphical model of the Markov decision process (MDP). The core object of study is the probability of each state-action pair being visited…

Machine Learning · Computer Science 2023-11-23 Jean Tarbouriech , Tor Lattimore , Brendan O'Donoghue

The objective is to study an on-line Hidden Markov model (HMM) estimation-based Q-learning algorithm for partially observable Markov decision process (POMDP) on finite state and action sets. When the full state observation is available,…

Machine Learning · Computer Science 2018-09-25 Hyung-Jin Yoon , Donghwan Lee , Naira Hovakimyan

We consider a risk-sensitive optimization of consumption-utility on infinite time horizon where the one-period investment gain depends on an underlying economic state whose evolution over time is assumed to be described by a discrete-time,…

Optimization and Control · Mathematics 2021-11-19 Anindya Goswami , Nimit Rana , Tak Kuen Siu

Stochastic thermodynamics allows us to define heat and work for microscopic systems far from thermodynamic equilibrium, based on observations of their stochastic dynamics. However, a complete account of the energetics necessitates that all…

Statistical Mechanics · Physics 2021-08-31 Jannik Ehrich

Given a Markov decision process (MDP), we seek to learn representations for a range of policies to facilitate behavior steering at test time. As policies of an MDP are uniquely determined by their occupancy measures, we propose modeling…

Machine Learning · Computer Science 2026-02-02 Beiming Li , Sergio Rozada , Alejandro Ribeiro

We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

Probability · Mathematics 2025-09-23 Nicole Bäuerle , Sebastian Höfer

We analyze the optimal strategy for a government to promote large-scale investment projects under information frictions. Specifically, we propose a model where the government collects information on probability of each investment and…

Theoretical Economics · Economics 2021-05-21 Keeyoung Rhee , Myungkyu Shim , Ji Zhang

Partially observable Markov decision processes (POMDPs) form a prominent model for uncertainty in sequential decision making. We are interested in constructing algorithms with theoretical guarantees to determine whether the agent has a…

Artificial Intelligence · Computer Science 2024-12-17 Marius Belly , Nathanaël Fijalkow , Hugo Gimbert , Florian Horn , Guillermo A. Pérez , Pierre Vandenhove

Decentralized policies for information gathering are required when multiple autonomous agents are deployed to collect data about a phenomenon of interest without the ability to communicate. Decentralized partially observable Markov decision…

Artificial Intelligence · Computer Science 2019-02-27 Mikko Lauri , Joni Pajarinen , Jan Peters

We present metrics for measuring state similarity in Markov decision processes (MDPs) with infinitely many states, including MDPs with continuous state spaces. Such metrics provide a stable quantitative analogue of the notion of…

Artificial Intelligence · Computer Science 2012-07-09 Norman Ferns , Prakash Panangaden , Doina Precup

We study an optimal process control problem with multiple assignable causes. The process is initially in-control but is subject to random transition to one of multiple out-of-control states due to assignable causes. The objective is to find…

Optimization and Control · Mathematics 2012-12-12 Jue Wang , Chi-Guhn Lee

We study an approximation method for partially observed Markov decision processes (POMDPs) with continuous spaces. Belief MDP reduction, which has been the standard approach to study POMDPs requires rigorous approximation methods for…

Optimization and Control · Mathematics 2025-01-20 Ali Devran Kara , Erhan Bayraktar , Serdar Yuksel

In this paper, we study the remote estimation problem of a Markov process over a channel with a cost. We formulate this problem as an infinite horizon optimization problem with two players, i.e., a sensor and a monitor, that have distinct…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Edoardo David Santi , Touraj Soleymani , Deniz Gunduz

Markov decision process models and algorithms can be used to identify optimal policies for dispatching ambulances to spatially distributed customers, where the optimal policies indicate the ambulance to dispatch to each customer type in…

Optimization and Control · Mathematics 2023-03-03 Laura A. Albert