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Parallel Restarted SGD with Faster Convergence and Less Communication: Demystifying Why Model Averaging Works for Deep Learning

AAAI 2019 · Optimization › Distributed and compressed · approach: Local and asynchronous SGD · 506 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
average worker models every I iterations, with I ≤ T^{1/4}/N^{3/4}, rather than synchronize every iterationPR-SGD · Non-convex stochastic optimizationcommunication rounds: O(T^{1/4}/N^{3/4})Helped
use any fixed constant I (ablation)PR-SGD · Non-convex stochastic optimizationaverage expected squared gradient norm: O(1/√(NT) + N/T)Mixed
choose I ≤ T^{1/4}/N^{3/4} (ablation)PR-SGD · Non-convex stochastic optimizationaverage expected squared gradient norm: O(1/√(NT))Helped
use time-varying epoch lengths and learning rates K^s = ⌈s^{1/3}/N⌉ and γ^s = N/s^{2/3} (ablation)PR-SGD · Non-convex stochastic optimizationweighted average expected squared gradient norm: O(log(NT)/√(NT))Helped
allow faster workers to take more local SGD steps per epochPR-SGD in heterogeneous networks · Heterogeneous networks with identical worker data distributionsweighted average expected squared gradient norm: O(1/√(NT))Helped
replace worker-specific epoch lengths with the slowest worker's common epoch length (ablation)PR-SGD in heterogeneous networks · Heterogeneous networksearly-epoch convergenceHurt
periodically average models with I ∈ {4, 8, 16, 32} rather than synchronize every iterationResNet20 · CIFAR10training lossMixed

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