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Research map / Optimization / Implicit bias and generalization

Understanding Batch Normalization

NeurIPS 2018 · Optimization › Implicit bias and generalization · approach: Stability-based generalization analysis · 208 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Enable batch normalization so the network can use a larger learning rate110-layer ResNet · CIFAR10test accuracyHelped
Use the same low learning rate for BN and unnormalized networks (ablation)110-layer ResNet · CIFAR10test accuracyNo clear effect
Add batch normalization only at the network top (ablation)110-layer ResNet · CIFAR10test accuracy: 90.1%Helped
Add the affine transformation parametrized by gamma and beta (ablation)Batch normalization in a 110-layer ResNet · CIFAR10final accuracy: roughly 0.6 %Helped
Remove mean and variance normalization (ablation)Batch normalization in a 110-layer ResNet · CIFAR10accuracyHurt
Keep variance normalization but remove mean normalization (ablation)Batch normalization in a 110-layer ResNet · CIFAR10learning rate: 0.01Hurt
Keep mean normalization but remove variance normalization (ablation)Batch normalization in a 110-layer ResNet · CIFAR10learning rate: 0.003Hurt
Remove both mean and variance normalization (ablation)Batch normalization in a 110-layer ResNet · CIFAR10learning rate: 0.0001Hurt
Update BN mean and variance only every other batch (ablation)110-layer ResNet with batch normalization · CIFAR10maximum viable learning rate: 0.01Hurt
Use a warm start for the unnormalized network (ablation)Unnormalized ResNet · CIFAR10maximum viable learning rate: 0.01Helped
Increase the learning rate for the unnormalized network110-layer ResNet without BN · CIFAR10convergenceHurt
Use a shallower unnormalized ResNet (ablation)Unnormalized ResNet · CIFAR10maximum viable learning rate: 32 layer Resnet: 0.1; 56 layer Resnet: 0.01Helped

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