On Value Iteration Convergence in Connected MDPs

Fuente: arXiv
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Main Authors: Mustafin, Arsenii, Olshevsky, Alex, Paschalidis, Ioannis Ch.
Format: Preprint
Published: 2024
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author Mustafin, Arsenii
Olshevsky, Alex
Paschalidis, Ioannis Ch.
author_facet Mustafin, Arsenii
Olshevsky, Alex
Paschalidis, Ioannis Ch.
contents This paper establishes that an MDP with a unique optimal policy and ergodic associated transition matrix ensures the convergence of various versions of the Value Iteration algorithm at a geometric rate that exceeds the discount factor γ for both discounted and average-reward criteria.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09592
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Value Iteration Convergence in Connected MDPs
Mustafin, Arsenii
Olshevsky, Alex
Paschalidis, Ioannis Ch.
Machine Learning
This paper establishes that an MDP with a unique optimal policy and ergodic associated transition matrix ensures the convergence of various versions of the Value Iteration algorithm at a geometric rate that exceeds the discount factor γ for both discounted and average-reward criteria.
title On Value Iteration Convergence in Connected MDPs
topic Machine Learning
url https://arxiv.org/abs/2406.09592