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Deep ReLU Networks Have Surprisingly Few Activation Patterns

NeurIPS 2019 · Architectures and efficiency › RNNs and normalization · approach: Width and depth of ReLU networks · 105 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train on MNIST, including increasingly corrupted labelsFully connected ReLU networks · MNIST, 2D cross-sectionsactivation regionsNo clear effect
Increase the amount of label corruption during MNIST trainingDepth 3, width 32 ReLU network · MNIST, lines through input spaceactivation regionsMixed
Train to memorize randomly labeled 2D pointsDepth 3, width 32 ReLU network · Random 2D points with binary labelsactivation regionsMixed
Increase memorization difficulty to the maximum tested levelDepth 3, width 32 ReLU network · Random 2D points with binary labelstraining accuracyHurt
Vary the learning rate (ablation)Depth 3, width 32 ReLU network · Random 2D points with binary labelsactivation regionsNo clear effect
Scale weights at initialization (ablation)Depth 3, width 32 ReLU network · 5000 random 2D points with independent binary labelsactivation regionsNo clear effect
Use larger weight scale at initialization (ablation)Depth 3, width 32 ReLU network · Random 2D points with binary labelsactivation regionsMixed
Initialize biases to zero (ablation)ReLU networks · Activation regionsactivation regionsHurt

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