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On the convergence of FedA vg on non-IID data

25 Pith papers cite this work. Polarity classification is still indexing.

25 Pith papers citing it
abstract

Federated learning enables a large amount of edge computing devices to jointly learn a model without data sharing. As a leading algorithm in this setting, Federated Averaging (\texttt{FedAvg}) runs Stochastic Gradient Descent (SGD) in parallel on a small subset of the total devices and averages the sequences only once in a while. Despite its simplicity, it lacks theoretical guarantees under realistic settings. In this paper, we analyze the convergence of \texttt{FedAvg} on non-iid data and establish a convergence rate of $\mathcal{O}(\frac{1}{T})$ for strongly convex and smooth problems, where $T$ is the number of SGDs. Importantly, our bound demonstrates a trade-off between communication-efficiency and convergence rate. As user devices may be disconnected from the server, we relax the assumption of full device participation to partial device participation and study different averaging schemes; low device participation rate can be achieved without severely slowing down the learning. Our results indicate that heterogeneity of data slows down the convergence, which matches empirical observations. Furthermore, we provide a necessary condition for \texttt{FedAvg} on non-iid data: the learning rate $\eta$ must decay, even if full-gradient is used; otherwise, the solution will be $\Omega (\eta)$ away from the optimal.

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representative citing papers

Sensing-Native Over-the-Air Federated Learning

eess.SP · 2026-06-15 · unverdicted · novelty 7.0

Proposes a zero-overhead sensing-native over-the-air FL system that uses gradient autocorrelation for distance estimation and gradient statistics for cooperative localization, with a statistics-aware power and beamforming co-design.

Distributed Direct Preference Optimization

cs.LG · 2026-05-20 · unverdicted · novelty 7.0

First convergence analysis of DPO under federated and decentralized training, characterizing rates via client drift, communication frequency, preference heterogeneity, and graph spectral connectivity.

Robust Federated Learning Under Real-World Client Churn

cs.LG · 2026-07-08 · conditional · novelty 6.0

FeLiX reduces wall-clock time-to-target accuracy in federated learning by up to 2.37x using lightweight availability tiers, fresh-utility client selection, and informativeness-aware aggregation without requiring oracular knowledge of client availability.

Adaptive Federated Optimization

cs.LG · 2020-02-29 · unverdicted · novelty 6.0

Proposes federated adaptive optimizers (FedAdagrad, FedAdam, FedYogi) with convergence analysis for non-convex objectives under data heterogeneity and reports empirical gains over FedAvg.

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