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Efficient Adaptive Federated Optimization

NeurIPS 2025 · Federated learning and privacy › Communication-efficient FL · approach: Communication-efficient heterogeneous FL · 1 citations (OpenAlex)

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Proposes FedAda2 and FedAda2+ — jointly adaptive federated optimizers that avoid transmitting server preconditioners by zero-initializing client preconditioners, with FedAda2+ adding SM3 memory-efficient client optimizers, and proves non-convex convergence at O(T^-1/2).

Problem

Joint server- and client-side adaptive federated optimization is effective but incurs high communication (transmitting preconditioners) and client memory costs, which hinders cross-device deployment.

Approach

Zero-initialize each client's local preconditioners every round instead of transmitting server preconditioners (FedAda2), and further compress client-side second-moment statistics with SM3 (FedAda2+), while retaining convergence guarantees for non-convex objectives under full-batch gradients and partial participation.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add client-side adaptivity to FedAvgFederated training · CIFAR-100, GLD-23K, and FEMNISTtest accuracyHelped
Add joint server- and client-side adaptivityFedAvg and server-only adaptive baselines · CIFAR-100, GLD-23K, and FEMNISTtest accuracyHelped
Stop transmitting server preconditioners and initialize client preconditioners from zero (ablation)Costly Joint Adaptivity · CIFAR-100, GLD-23K, and FEMNISTtest accuracyNo clear effect
Use SM3-compressed client preconditioners (ablation)FedAda² · ViT client-side second-moment storageadditional memory: 1× -> 0.48\%Helped
Use SM3 memory-efficient client optimizers (ablation)FedAda² · CIFAR-100, GLD-23K, and FEMNISTtest accuracyNo clear effect
Increase the number of local epochs (ablation)FedAda²+ · Vision model transfer learningrelative performance versus FedAdamHurt
Transmit server-side Adam preconditioners to client-side AdaGrad (ablation)Costly Joint Adaptivity · Asymmetric server-client adaptivitytest performanceNo clear effect
Use delayed local preconditioner updates (ablation)FedAda² and FedAda²+ · Image and text trainingtraining performanceNo clear effect
Remove server-preconditioner transmission (ablation)FedAda² · StackOverflow hyperparameter sweepstest accuracyMixed
Add client-side adaptivity via AdaGradFedAvg · Heavy-tailed client gradient noiseexpected global gradient norm squared: ∞ -> \mathcal{O}\left(\frac{1}{T}\right)Helped

Surprising findings

Limitations

Experimental setup

Datasets: StackOverflow CIFAR-100 FEMNIST GLD-23K ImageNet-21K

Benchmarks: StackOverflow CIFAR-100 FEMNIST GLD-23K

Metrics: test accuracy test loss communicated bits convergence rate

Baselines: FedAvg FedAdaGrad FedAdam Costly Joint Adaptivity MIME MIMELite

Builds on: FedAdam FedAdaGrad SM3 FedAvg Local Adaptive FedOPT

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