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Analysis of Deep Neural Networks with Extended Data Jacobian Matrix

ICML 2016 · Learning theory and algorithms › Matrix and tensor methods · approach: Geometry of low-rank and SPD structure · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
increase depth from 1 to 4 layers at fixed hidden units (ablation)feed-forward net · CIFAR-10 valEDJM score: 5.99 -> 21.40Helped
increase depth from 1 to 4 layers at fixed hidden units (ablation)feed-forward net · CIFAR-10 valaccuracy: 53.94% -> 56.34%Helped
increase depth from 1 to 4 layers at fixed hidden units (ablation)feed-forward net · MNIST valaccuracy: 98.53% -> 98.66%Helped
replace feed-forward with convolutional network (ablation)4-layer feed-forward · CIFAR-10 valaccuracy: 56.34% -> 73.77%Helped
replace feed-forward with convolutional network (ablation)4-layer feed-forward · CIFAR-10 valEDJM score: 21.40 -> 59.65Helped
add dropout (ablation)2-layer feed-forward · CIFAR-10 valaccuracy: 54.23% -> 57.78%Helped
add dropout (ablation)2-layer feed-forward · MNIST valaccuracy: 98.59% -> 98.74%Helped
train student on teacher soft labels instead of hard labels (ablation)feed-forward shallow · CIFAR-10accuracy: 62.3% -> 73.6%Helped
train student on teacher soft labels instead of hard labels (ablation)convolutional shallow · CIFAR-10accuracy: 83.1% -> 86.7%Helped
train student on teacher soft labels instead of hard labels (ablation)feed-forward shallow · CIFAR-10EDJM score: 33.7 -> 73.6Helped
ensemble 2-, 3-, 4-layer nets (ablation)individual feed-forward nets · CIFAR-10 valaccuracy: 56.34% -> 57.60%Helped
ensemble 2-, 3-, 4-layer nets (ablation)individual feed-forward nets · CIFAR-10 valEDJM score: 13.94 -> 8.75Hurt

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