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Truth or backpropaganda? An empirical investigation of deep learning theory

ICLR 2020 · Learning theory and algorithms › Kernels and regression theory · approach: Generalization theory of deep networks · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Bias parameter norm toward a non-zero value instead of shrinking it toward zero (ablation)ResNet-18, DenseNet-40, MobileNetV2, ResNet-20 Fixup, and 4-layer MLP · CIFAR-10, normalized and non-normalizedaccuracy: 94.06 -> 94.86; 92.27 -> 92.49; 92.88 -> 93.50; 94.76 -> 94.99; 91.42 -> 91.55; 58.95 -> 59.13Helped
Bias parameter norm toward a non-zero value instead of shrinking it toward zero (ablation)ResNet-18, DenseNet-40, and ResNet-20 Fixup · CIFAR-100, normalizedaccuracy: 74.66 -> 75.90; 68.98 -> 69.24; 65.08 -> 65.58Helped
Promote high-rank operators instead of using standard adversarial training (ablation)ResNet-18 · CIFAR-10, adversarial trainingrobust accuracy (ε = 8/255): 35.38 -> 35.55Helped
Promote low-rank operators instead of using standard adversarial training (ablation)ResNet-18 · CIFAR-10, adversarial trainingrobust accuracy (ε = 8/255): 35.38 -> 33.68Hurt
Promote high rank or low rank during fine-tuning (ablation)ResNet-18 · CIFAR-10, natural trainingclean accuracy: 94.66 -> 93.66; 94.66 -> 94.44No clear effect
Initialize from a trained linear-classifier solution (ablation)MLP · CIFAR-10training loss: 0.0061 -> 1.5699Hurt
Initialize biases to +20 (ablation)MLP · CIFAR-10training loss: 0.0061 -> 2.3301Hurt
Initialize biases from a uniform distribution over (-50,50) (ablation)MLP · CIFAR-10training loss: 0.0061 -> 2.3153Hurt
Remove batch normalization or skip connections from WideResNet (ablation)WideResNet · CIFAR-10, NTK correlation before versus after trainingNTK correlationMixed

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