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Research map / Architectures and efficiency / RNNs and normalization

The Shattered Gradients Problem: If resnets are the answer, then what is the question?

ICML 2017 · Architectures and efficiency › RNNs and normalization · approach: Normalization layer theory · 96 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use skip-connections with batch normalization and β-rescaling rather than a feedforward architectureDeep rectifier networks · Typical datapoint pairsgradient correlation: 1/2^L -> 1/(β√L)Helped
Set β to 0.1 instead of 1.0 (ablation)100-layer resnet with batch normalization · Typical datapoint pairsgradient correlation: 0.1 -> 0.7Helped
Use the looks-linear initialization with orthogonal weightsCReLU feedforward network · CIFAR-10 testaccuracyHelped
Remove the looks-linear initialization (ablation)CReLU feedforward network · CIFAR-10 testaccuracyHurt
Use β = 1.0 rather than β = 0.1 (ablation)Resnet with batch normalization · 100-layer networkgradient correlation: 0.7 -> 0.1Hurt
Use β-rescaling in resnets (ablation)Resnet with batch normalization · Typical datapoint pairsgradient correlation: 1/(β√L)Helped

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