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Paper · arXiv

Bridging Compressed Communication and Local Steps via Spectral Method in Federated Learning

Federated Learning (FL) enables collaborative training of complex models across large-scale networks of edge devices while keeping data localized. However, data heterogeneity and high communication overhead remain fundamental bottlenecks. Recently, the spectral optimizer Muon has demonstrated remarkable advantages over Adam-like methods in centralized training. While recent efforts have attempted to transition Muon to FL, naive integrations into traditional architectures fail short. Crucially, existing approaches do not support the the communication compression and local steps --- the two foundational techniques of efficient FL. To address this limitation, we introduce a novel spectral FL...

AuthorsDmitriy Bystrov, George Chirkov, Daniil Medyakov et al.
Primary categorycs.LG
Published16 October 2026
Last updated at source16 October 2026
cs.LG
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