Byzantine-resilient federated online learning for Gaussian process regression

Fuente: arXiv
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Main Authors: Zhang, Xu, Yuan, Zhenyuan, Zhu, Minghui
Format: Preprint
Published: 2025
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author Zhang, Xu
Yuan, Zhenyuan
Zhu, Minghui
author_facet Zhang, Xu
Yuan, Zhenyuan
Zhu, Minghui
contents In this paper, we study Byzantine-resilient federated online learning for Gaussian process regression (GPR). We develop a Byzantine-resilient federated GPR algorithm that allows a cloud and a group of agents to collaboratively learn a latent function and improve the learning performances where some agents exhibit Byzantine failures, i.e., arbitrary and potentially adversarial behavior. Each agent-based local GPR sends potentially compromised local predictions to the cloud, and the cloud-based aggregated GPR computes a global model by a Byzantine-resilient product of experts aggregation rule. Then the cloud broadcasts the current global model to all the agents. Agent-based fused GPR refines local predictions by fusing the received global model with that of the agent-based local GPR. Moreover, we quantify the learning accuracy improvements of the agent-based fused GPR over the agent-based local GPR. Experiments on a toy example and two medium-scale real-world datasets are conducted to demonstrate the performances of the proposed algorithm.
format Preprint
id arxiv_https___arxiv_org_abs_2507_14021
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Byzantine-resilient federated online learning for Gaussian process regression
Zhang, Xu
Yuan, Zhenyuan
Zhu, Minghui
Machine Learning
Systems and Control
In this paper, we study Byzantine-resilient federated online learning for Gaussian process regression (GPR). We develop a Byzantine-resilient federated GPR algorithm that allows a cloud and a group of agents to collaboratively learn a latent function and improve the learning performances where some agents exhibit Byzantine failures, i.e., arbitrary and potentially adversarial behavior. Each agent-based local GPR sends potentially compromised local predictions to the cloud, and the cloud-based aggregated GPR computes a global model by a Byzantine-resilient product of experts aggregation rule. Then the cloud broadcasts the current global model to all the agents. Agent-based fused GPR refines local predictions by fusing the received global model with that of the agent-based local GPR. Moreover, we quantify the learning accuracy improvements of the agent-based fused GPR over the agent-based local GPR. Experiments on a toy example and two medium-scale real-world datasets are conducted to demonstrate the performances of the proposed algorithm.
title Byzantine-resilient federated online learning for Gaussian process regression
topic Machine Learning
Systems and Control
url https://arxiv.org/abs/2507.14021