FedNolowe: A normalized loss-based weighted aggregation strategy for robust federated learning in heterogeneous environments

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Abstract

Federated Learning supports collaborative model training across distributed clients while keeping sensitive data decentralized. Still, non-independent and identically distributed data pose challenges like unstable convergence and client drift. We propose Federated Normalized Loss-based Weighted Aggregation (FedNolowe) (Code is available at https://github.com/dongld-2020/fednolowe), a new method that weights client contributions using normalized training losses, favoring those with lower losses to improve global model stability. Unlike prior methods tied to dataset sizes or resource-heavy techniques, FedNolowe employs a two-stage L1 normalization, reducing computational complexity by 40% in floating-point operations while matching state-of-the-art performance. A detailed sensitivity analysis shows our two-stage weighting maintains stability in heterogeneous settings by mitigating extreme loss impacts while remaining effective in independent and identically distributed scenarios.

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Le, D. D., Huynh, T. N., Tran, A. K., Dao, M. S., & Bao, P. T. (2025). FedNolowe: A normalized loss-based weighted aggregation strategy for robust federated learning in heterogeneous environments. PLOS ONE, 20(8 August). https://doi.org/10.1371/journal.pone.0322766

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