Efficient Personalized Federated PCA with Manifold Optimization for IoT Anomaly Detection

Fuente: arXiv
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Autori principali: Xiu, Xianchao, Huang, Chenyi, Zhang, Wei, Liu, Wanquan
Natura: Preprint
Pubblicazione: 2026
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author Xiu, Xianchao
Huang, Chenyi
Zhang, Wei
Liu, Wanquan
author_facet Xiu, Xianchao
Huang, Chenyi
Zhang, Wei
Liu, Wanquan
contents Internet of things (IoT) networks face increasing security threats due to their distributed nature and resource constraints. Although federated learning (FL) has gained prominence as a privacy-preserving framework for distributed IoT environments, current federated principal component analysis (PCA) methods lack the integration of personalization and robustness, which are critical for effective anomaly detection. To address these limitations, we propose an efficient personalized federated PCA (FedEP) method for anomaly detection in IoT networks. The proposed model achieves personalization through introducing local representations with the $\ell_1$-norm for element-wise sparsity, while maintaining robustness via enforcing local models with the $\ell_{2,1}$-norm for row-wise sparsity. To solve this non-convex problem, we develop a manifold optimization algorithm based on the alternating direction method of multipliers (ADMM) with rigorous theoretical convergence guarantees. Experimental results confirm that the proposed FedEP outperforms the state-of-the-art FedPG, achieving excellent F1-scores and accuracy in various IoT security scenarios. Our code will be available at \href{https://github.com/xianchaoxiu/FedEP}{https://github.com/xianchaoxiu/FedEP}.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12622
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Efficient Personalized Federated PCA with Manifold Optimization for IoT Anomaly Detection
Xiu, Xianchao
Huang, Chenyi
Zhang, Wei
Liu, Wanquan
Machine Learning
Internet of things (IoT) networks face increasing security threats due to their distributed nature and resource constraints. Although federated learning (FL) has gained prominence as a privacy-preserving framework for distributed IoT environments, current federated principal component analysis (PCA) methods lack the integration of personalization and robustness, which are critical for effective anomaly detection. To address these limitations, we propose an efficient personalized federated PCA (FedEP) method for anomaly detection in IoT networks. The proposed model achieves personalization through introducing local representations with the $\ell_1$-norm for element-wise sparsity, while maintaining robustness via enforcing local models with the $\ell_{2,1}$-norm for row-wise sparsity. To solve this non-convex problem, we develop a manifold optimization algorithm based on the alternating direction method of multipliers (ADMM) with rigorous theoretical convergence guarantees. Experimental results confirm that the proposed FedEP outperforms the state-of-the-art FedPG, achieving excellent F1-scores and accuracy in various IoT security scenarios. Our code will be available at \href{https://github.com/xianchaoxiu/FedEP}{https://github.com/xianchaoxiu/FedEP}.
title Efficient Personalized Federated PCA with Manifold Optimization for IoT Anomaly Detection
topic Machine Learning
url https://arxiv.org/abs/2602.12622