Multi-Timescale Ensemble Q-learning for Markov Decision Process Policy Optimization

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Hauptverfasser: Bozkus, Talha, Mitra, Urbashi
Format: Preprint
Veröffentlicht: 2024
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author Bozkus, Talha
Mitra, Urbashi
author_facet Bozkus, Talha
Mitra, Urbashi
contents Reinforcement learning (RL) is a classical tool to solve network control or policy optimization problems in unknown environments. The original Q-learning suffers from performance and complexity challenges across very large networks. Herein, a novel model-free ensemble reinforcement learning algorithm which adapts the classical Q-learning is proposed to handle these challenges for networks which admit Markov decision process (MDP) models. Multiple Q-learning algorithms are run on multiple, distinct, synthetically created and structurally related Markovian environments in parallel; the outputs are fused using an adaptive weighting mechanism based on the Jensen-Shannon divergence (JSD) to obtain an approximately optimal policy with low complexity. The theoretical justification of the algorithm, including the convergence of key statistics and Q-functions are provided. Numerical results across several network models show that the proposed algorithm can achieve up to 55% less average policy error with up to 50% less runtime complexity than the state-of-the-art Q-learning algorithms. Numerical results validate assumptions made in the theoretical analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2402_05476
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multi-Timescale Ensemble Q-learning for Markov Decision Process Policy Optimization
Bozkus, Talha
Mitra, Urbashi
Machine Learning
Signal Processing
Reinforcement learning (RL) is a classical tool to solve network control or policy optimization problems in unknown environments. The original Q-learning suffers from performance and complexity challenges across very large networks. Herein, a novel model-free ensemble reinforcement learning algorithm which adapts the classical Q-learning is proposed to handle these challenges for networks which admit Markov decision process (MDP) models. Multiple Q-learning algorithms are run on multiple, distinct, synthetically created and structurally related Markovian environments in parallel; the outputs are fused using an adaptive weighting mechanism based on the Jensen-Shannon divergence (JSD) to obtain an approximately optimal policy with low complexity. The theoretical justification of the algorithm, including the convergence of key statistics and Q-functions are provided. Numerical results across several network models show that the proposed algorithm can achieve up to 55% less average policy error with up to 50% less runtime complexity than the state-of-the-art Q-learning algorithms. Numerical results validate assumptions made in the theoretical analysis.
title Multi-Timescale Ensemble Q-learning for Markov Decision Process Policy Optimization
topic Machine Learning
Signal Processing
url https://arxiv.org/abs/2402.05476