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Towards Explaining the Regularization Effect of Initial Large Learning Rate in Training Neural Networks

NeurIPS 2019 · Optimization › Implicit bias and generalization · approach: Stability-based generalization analysis · 121 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a large initial learning rate and anneal it later instead of using a small learning rate throughoutTwo-layer ReLU network · Constructed distributiontest classification error: O(pκ log \frac{1}{\varepsilon_1}) versus Ω(p)Helped
Add annealed Gaussian noise before activation layersWideResNet16 with a small learning rate · CIFAR-10 validation set, no data augmentationvalidation accuracy: 4.72%Helped
Train with a small initial learning rate on patch-augmented images rather than the full datasetWideResNet16 · Patch-augmented CIFAR-10, clean validation imagesvalidation accuracy: 83% -> 70%Hurt

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