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Research map / Optimization / Implicit bias and generalization

Towards Understanding the Importance of Shortcut Connections in Residual Networks

NeurIPS 2019 · Optimization › Implicit bias and generalization · approach: Shallow ReLU network convergence · 22 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add step size warmup: use a smaller inner-layer step size initially, then increase it (ablation)ResNet · Synthetic teacher, k=16 and k=100, p=8success rate: 0.7042 -> 1.0000; 0.8426 -> 1.0000Helped
Remove step size warmup (ablation)ResNet · Synthetic teacher, k=16 to k=100, p=8success rate: 1.0000 -> 0.7042; 1.0000 -> 0.8426Hurt
Use a CNN student without shortcut connections instead of the ResNet studentTwo-layer student trained on the synthetic teacher · Synthetic teacher, k=16 to k=100, p=8success rate: 1.0000 -> 0.5348; 1.0000 -> 0.5374Hurt

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