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Article | Open Access

Federated Semi-Supervised Learning Based on Feature Space Fusion

Zhe Ding1,2Hao Yi3,4( )Wenrui Xie3,4Ming Zhang1Yuxuan Xiao1Qixu Wang1,2Qing Chen5Zhiguang Qin1Dajiang Chen1
School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, China
School of Cybersecurity, Chengdu University of Information Technology, Chengdu, China
China Electronic Products Reliability and Environmental Testing Research Institute, Guangzhou, China
Key Laboratory of the Ministry of Industry and Information Technology for Performance and Reliability Evaluation of Software and Hardware for Information Technology Application Innovation Foundation, Guangzhou, China
Accelink Technologies Co., Ltd., Wuhan, China
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Abstract

Federated semi-supervised learning (FSSL) has garnered substantial attention for enabling collaborative global model training across multiple clients to address the scarcity of labeled data and to preserve data privacy. However, FSSL is plagued by formidable challenges stemming from cross-client data heterogeneity, as existing methods fail to achieve effective fusion of feature subspaces across distinct clients. To address this issue, we propose a novel FSSL framework, named FedSPQR, which is explicitly tailored for the label-at-server scenario. On the server side, FedSPQR adopts subspace clustering and fusion method based on the Grassmann manifold to construct a unified global feature space, which is further leveraged to refine the global model. On the client side, the pre-established global feature space acts as a benchmark for aligning the local feature subspaces. Based on the aligned local feature subspaces, integrating self-supervised learning with knowledge distillation facilitates effective local learning to alleviate local bias caused by data heterogeneity. Extensive experiments on two standard public benchmarks confirm that FedSPQR outperforms state-of-the-art (SOTA) baselines by a significant margin.

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Computers, Materials & Continua
Article number: 90

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Cite this article:
Ding Z, Yi H, Xie W, et al. Federated Semi-Supervised Learning Based on Feature Space Fusion. Computers, Materials & Continua, 2026, 87(2): 90. https://doi.org/10.32604/cmc.2026.074244

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Received: 06 October 2025
Accepted: 28 January 2026
Published: 12 March 2026
© The Author 2026.

This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.