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Variational Dropout Sparsifies Deep Neural Networks

ICML 2017 · Architectures and efficiency › CNN design · approach: Theory of convolutional inductive bias · 331 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Sparse VD instead of the original dense modelLeNet-300-100 · MNISTError %: 1.64 -> 1.92Mixed
Use Sparse VD instead of pruningLeNet-300-100 · MNISTParameter reduction ratio: 12 -> 68Helped
Use Sparse VD instead of DNSLeNet-300-100 · MNISTParameter reduction ratio: 56 -> 68Helped
Use Sparse VD instead of the original dense modelLeNet-5-Caffe · MNISTError %: 0.80 -> 0.75Helped
Use Sparse VD instead of SWSLeNet-5-Caffe · MNISTParameter reduction ratio: 200 -> 280Helped
Use Sparse VD instead of a dense VGG-like modelVGG-like, k=1 · CIFAR-10Error %: 7.3% -> 7.3%No clear effect
Replace multiplicative-noise parameterization with Additive Noise Reparameterization (ablation)Sparse VD · Two-layer, 1000-neuron fully connected networkVariational lower boundHelped
Initialize from a pretrained network rather than random initialization (ablation)Sparse VD · VGG-like networksAccuracyHelped
Threshold weights with log alpha=3 to zero at test time (ablation)Sparse VD · Neural network experimentsPerformanceNo clear effect
Train with Sparse VD rather than Binary DropoutFully connected MNIST and VGG-like CIFAR-10 networks · Random labelsAbility to fit random labelsHurt

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