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EF21: A New, Simpler, Theoretically Better, and Practically Faster Error Feedback

NeurIPS 2021 · Optimization › Distributed and compressed · approach: Error feedback theory · 36 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace standard error feedback with EF21's recursively updated Markov compressorDistributed optimization with biased compression · Smooth nonconvex problemsconvergence rate: O(1/T^{2/3}) -> O(1/T)Helped
Use EF21 with the PL conditionDistributed optimization with biased compression · Polyak-Lojasiewicz functionsconvergence rate: (1- γ μ )^THelped
Replace EF with EF21Distributed nonconvex logistic regression · a9astepsize toleranceHelped
Replace EF with EF21CIFAR-10 image classification · ResNet18 and VGG11test accuracyHelped
Use the EF21+ hybrid that selects the lower-distortion compressorDistributed optimization with biased compression · Nonconvex logistic regressionstepsize toleranceHelped
Increase the stepsize substantiallyEF · Nonconvex logistic regressionconvergence: 16×--128×Hurt
Increase the stepsize substantiallyEF · Least squares, PL settingconvergence: 512×--4096×Hurt
Choose smaller k in the Markov compressorEF21 · CIFAR-10, ResNet18test accuracyHelped
Use EF21 or EF21+ instead of EF with individually tuned k and stepsizesDistributed nonconvex logistic regression · phishing, mushrooms, a9a, and w8acommunication efficiencyHelped

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