FedRG: Unleashing the Representation Geometry for Federated Learning with Noisy Clients

Fuente: arXiv
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Autori principali: Wen, Tian, Yang, Zhiqin, Zhang, Yonggang, Jiang, Xuefeng, Peng, Hao, Wang, Yuwei, Han, Bo
Natura: Preprint
Pubblicazione: 2026
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author Wen, Tian
Yang, Zhiqin
Zhang, Yonggang
Jiang, Xuefeng
Peng, Hao
Wang, Yuwei
Han, Bo
author_facet Wen, Tian
Yang, Zhiqin
Zhang, Yonggang
Jiang, Xuefeng
Peng, Hao
Wang, Yuwei
Han, Bo
contents Federated learning (FL) suffers from performance degradation due to the inevitable presence of noisy annotations in distributed scenarios. Existing approaches have advanced in distinguishing noisy samples from the dataset for label correction by leveraging loss values. However, noisy samples recognition relying on scalar loss lacks reliability for FL under heterogeneous scenarios. In this paper, we rethink this paradigm from a representation perspective and propose \method~(\textbf{Fed}erated under \textbf{R}epresentation \textbf{G}emometry), which follows \textbf{the principle of ``representation geometry priority''} to recognize noisy labels. Firstly, \method~creates label-agnostic spherical representations by using self-supervision. It then iteratively fits a spherical von Mises-Fisher (vMF) mixture model to this geometry using previously identified clean samples to capture semantic clusters. This geometric evidence is integrated with a semantic-label soft mapping mechanism to derive a distribution divergence between the label-free and annotated label-conditioned feature space, which robustly identifies noisy samples and updates the vMF mixture model with the newly separated clean dataset. Lastly, we employ an additional personalized noise absorption matrix on noisy labels to achieve robust optimization. Extensive experimental results demonstrate that \method~significantly outperforms state-of-the-art methods for FL with data heterogeneity under diverse noisy clients scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2603_19722
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle FedRG: Unleashing the Representation Geometry for Federated Learning with Noisy Clients
Wen, Tian
Yang, Zhiqin
Zhang, Yonggang
Jiang, Xuefeng
Peng, Hao
Wang, Yuwei
Han, Bo
Machine Learning
Artificial Intelligence
Federated learning (FL) suffers from performance degradation due to the inevitable presence of noisy annotations in distributed scenarios. Existing approaches have advanced in distinguishing noisy samples from the dataset for label correction by leveraging loss values. However, noisy samples recognition relying on scalar loss lacks reliability for FL under heterogeneous scenarios. In this paper, we rethink this paradigm from a representation perspective and propose \method~(\textbf{Fed}erated under \textbf{R}epresentation \textbf{G}emometry), which follows \textbf{the principle of ``representation geometry priority''} to recognize noisy labels. Firstly, \method~creates label-agnostic spherical representations by using self-supervision. It then iteratively fits a spherical von Mises-Fisher (vMF) mixture model to this geometry using previously identified clean samples to capture semantic clusters. This geometric evidence is integrated with a semantic-label soft mapping mechanism to derive a distribution divergence between the label-free and annotated label-conditioned feature space, which robustly identifies noisy samples and updates the vMF mixture model with the newly separated clean dataset. Lastly, we employ an additional personalized noise absorption matrix on noisy labels to achieve robust optimization. Extensive experimental results demonstrate that \method~significantly outperforms state-of-the-art methods for FL with data heterogeneity under diverse noisy clients scenarios.
title FedRG: Unleashing the Representation Geometry for Federated Learning with Noisy Clients
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2603.19722