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Paper · arXiv

PTOPOFL: Privacy-Preserving Personalised Federated Learning via Persistent Homology

Federated learning (FL) faces two structural tensions: gradient sharing enables data-reconstruction attacks, while non-IID client distributions degrade aggregation quality. We introduce PTOPOFL, a framework that addresses both challenges simultaneously by replacing gradient communication with topological descriptors derived from persistent homology (PH). Clients transmit only 48-dimensional PH feature vectors-compact shape summaries whose many-to-one structure makes inversion provably ill-posed-rather than model gradients. The server performs topology-guided personalised aggregation: clients are clustered by Wasserstein similarity between their PH diagrams, intra-cluster models are topolo...

AuthorsKelly L Vomo-Donfack, Adryel Hoszu, Grégory Ginot et al.
Primary categorycs.LG
Published4 March 2026
Last updated at source4 March 2026
cs.LGcs.CRcs.DCmath.ATstat.ML
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