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On Linear Stability of SGD and Input-Smoothness of Neural Networks

NeurIPS 2021 · Optimization › Implicit bias and generalization · approach: Edge-of-stability dynamics · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SGD with a bigger learning rateNeural networks trained on FashionMNIST and CIFAR10 · FashionMNIST and CIFAR10parameter-gradient and input-gradient normsHelped
Use a smaller batch sizeNeural networks trained on FashionMNIST and CIFAR10 · FashionMNIST and CIFAR10parameter-gradient and input-gradient normsHelped
Measure higher-order gradient norms (k=2 and k=3)Neural networks trained on FashionMNIST, CIFAR10, and CIFAR100 · FashionMNIST, CIFAR10, and CIFAR100correlation between parameter-gradient and input-gradient normsNo clear effect

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