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Penalizing Gradient Norm for Efficiently Improving Generalization in Deep Learning

ICML 2022 · Optimization › Implicit bias and generalization · approach: Stability-based generalization analysis · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add loss-gradient-norm penalty with tuned balance coefficientWideResNet-28-10 · CIFAR-10, basic augmentationtesting error rate: 2.78 -> 2.52Helped
Add loss-gradient-norm penalty with tuned balance coefficientWideResNet-28-10 · CIFAR-10, cutouttesting error rate: 2.43 -> 2.16Helped
Add loss-gradient-norm penalty with tuned balance coefficientWideResNet-28-10 · CIFAR-100, basic augmentationtesting error rate: 16.53 -> 16.02Helped
Add loss-gradient-norm penalty with tuned balance coefficientViT models · CIFAR-10 and CIFAR-100testing error rateHelped
Add loss-gradient-norm penalty with tuned balance coefficientImageNet models · ImageNettesting error rateHelped
Use SAM's tied setting, balance coefficient α = 1, instead of tuning α independently (ablation)Gradient-norm penalty scheme · CIFAR-10 and CIFAR-100testing error rateMixed
Set balance coefficient α to values below zero (ablation)Gradient-norm penalty scheme · CIFAR-10 and CIFAR-100convergenceHurt
Set balance coefficient α above 1 (ablation)Gradient-norm penalty scheme · CIFAR-10testing error rateHurt
Use cutout augmentation rather than heavy augmentation (ablation)Vision Transformers · CIFAR-10testing error rateNo clear effect

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