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Research map / Optimization / Implicit bias and generalization

Visualizing the Loss Landscape of Neural Nets

NeurIPS 2018 · Optimization › Implicit bias and generalization · approach: Edge-of-stability dynamics · 606 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use filter-wise normalized directions instead of unnormalized directions (ablation)loss-landscape visualization · CIFAR-10 classifierscorrelation of sharpness with test errorHelped
use filter-wise normalization instead of layer-wise normalization (ablation)loss-landscape visualization · VGG-9, CIFAR-10correlation of sharpness with test errorHelped
use unnormalized directions instead of filter-wise normalization (ablation)loss-landscape visualization · VGG-9, CIFAR-10correlation of sharpness with test errorHurt
add shortcut connections (ablation)ResNet-56 · CIFAR-10test error: 13.31 -> 5.89Helped
add shortcut connections (ablation)ResNet-110 · CIFAR-10test error: 16.44 -> 5.79Helped
add shortcut connections (ablation)ResNet-20 · CIFAR-10test error: 8.18 -> 7.37Helped
increase batch size from 128 to 4096 (ablation)ResNet-56 with SGD, WD = 0 · CIFAR-10test error: 8.26 -> 13.93Hurt
increase batch size from 128 to 4096 (ablation)ResNet-56 with Adam, WD = 0 · CIFAR-10test error: 9.55 -> 14.30Hurt
increase batch size from 128 to 4096 (ablation)ResNet-56 with SGD, WD = 5e-4 · CIFAR-10test error: 5.89 -> 10.59Hurt
increase batch size from 128 to 4096 (ablation)ResNet-56 with Adam, WD = 5e-4 · CIFAR-10test error: 7.67 -> 12.36Hurt
add weight decay 5e-4 (ablation)ResNet-56 with SGD, bs=128 · CIFAR-10test error: 8.26 -> 5.89Helped
add weight decay 5e-4 (ablation)ResNet-56 with SGD, bs=4096 · CIFAR-10test error: 13.93 -> 10.59Helped

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