Global Convergence Guarantees for Federated Policy Gradient Methods with Adversaries

Fuente: arXiv
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Main Authors: Ganesh, Swetha, Chen, Jiayu, Thoppe, Gugan, Aggarwal, Vaneet
Format: Preprint
Published: 2024
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author Ganesh, Swetha
Chen, Jiayu
Thoppe, Gugan
Aggarwal, Vaneet
author_facet Ganesh, Swetha
Chen, Jiayu
Thoppe, Gugan
Aggarwal, Vaneet
contents Federated Reinforcement Learning (FRL) allows multiple agents to collaboratively build a decision making policy without sharing raw trajectories. However, if a small fraction of these agents are adversarial, it can lead to catastrophic results. We propose a policy gradient based approach that is robust to adversarial agents which can send arbitrary values to the server. Under this setting, our results form the first global convergence guarantees with general parametrization. These results demonstrate resilience with adversaries, while achieving optimal sample complexity of order $\tilde{\mathcal{O}}\left( \frac{1}{Nε^2} \left( 1+ \frac{f^2}{N}\right)\right)$, where $N$ is the total number of agents and $f<N/2$ is the number of adversarial agents.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09940
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global Convergence Guarantees for Federated Policy Gradient Methods with Adversaries
Ganesh, Swetha
Chen, Jiayu
Thoppe, Gugan
Aggarwal, Vaneet
Machine Learning
Artificial Intelligence
Optimization and Control
Federated Reinforcement Learning (FRL) allows multiple agents to collaboratively build a decision making policy without sharing raw trajectories. However, if a small fraction of these agents are adversarial, it can lead to catastrophic results. We propose a policy gradient based approach that is robust to adversarial agents which can send arbitrary values to the server. Under this setting, our results form the first global convergence guarantees with general parametrization. These results demonstrate resilience with adversaries, while achieving optimal sample complexity of order $\tilde{\mathcal{O}}\left( \frac{1}{Nε^2} \left( 1+ \frac{f^2}{N}\right)\right)$, where $N$ is the total number of agents and $f<N/2$ is the number of adversarial agents.
title Global Convergence Guarantees for Federated Policy Gradient Methods with Adversaries
topic Machine Learning
Artificial Intelligence
Optimization and Control
url https://arxiv.org/abs/2403.09940