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At Stability's Edge: How to Adjust Hyperparameters to Preserve Minima Selection in Asynchronous Training of Neural Networks?

ICLR 2020 · Optimization › Implicit bias and generalization · approach: Edge-of-stability dynamics · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Scale the learning rate inversely with delayA-SGD · CIFAR10 and CIFAR100validation accuracy: 10.0% -> 88.57%; 1.0% -> 54.02%Helped
Add 30% more epochs to inverse-delay-scaled A-SGD (ablation)A-SGD +LR · CIFAR10 and CIFAR100validation accuracy: 90.42% -> 91.65%; 57.89% -> 58.94%Helped
Use A-SGD without delay-adjusted learning-rate scaling (ablation)A-SGD · CIFAR10 and CIFAR100validation accuracy: 92.87% -> 10.0%; 89.8% -> 10.0%; 60.0% -> 1.0%; 76.78% -> 17.8%Hurt
Turn off standard momentum (ablation)A-SGD with ResNet50 · ImageNetvalidation error: 28.13% -> 25.49%Helped
Replace standard momentum with shifted momentum (ablation)A-SGD with ResNet50 · ImageNetvalidation error: 28.13% -> 25.4%Helped
Scale learning rate with 1/√τ instead of 1/τ (ablation)A-SGD · ImageNetconvergenceHurt
Increase momentum in shifted momentum (ablation)A-SGD with shifted momentum · MNISTmaximum stable learning rateHelped
Increase momentum in standard A-SGD (ablation)A-SGD with standard momentum · Stability analysisstabilityHurt
Use inverse learning-rate scaling as delay increasesA-SGD · VGG-11 on CIFAR10stability thresholdHelped
Use a discrete Gaussian delay distribution rather than constant delay (ablation)A-SGD with ResNet50 · ImageNetvalidation error: 25.4% vs 25.3%No clear effect

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