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Finite Versus Infinite Neural Networks: an Empirical Study

NeurIPS 2020 · Architectures and efficiency › CNN design · approach: Large and dynamic kernel design

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NNGP instead of NTK inferenceKernel models across FC, CNN-VEC, and CNN-GAP · CIFAR-10, CIFAR-100, and Fashion-MNISTaccuracyHelped
Ensemble kernel predictors over augmented training setsNNGP and NTK kernels · CIFAR-10accuracy: 83.5 -> 84.8Helped
Apply tuned regularized ZCA preprocessingCNN-GAP kernels · CIFAR-10accuracy: 78.5 -> 83.5Helped
Use regularized ZCA rather than pure ZCA whitening (ablation)Finite networks and kernel methods · Image classificationaccuracyMixed
Center the network by subtracting its initial predictions (ablation)FCN and CNN-VEC · CIFAR-10accuracy: 47.82 -> 53.22Helped
Center the network by subtracting its initial predictions (ablation)CNN-GAP · CIFAR-10accuracy: 80.26 -> 81.25No clear effect
Use a large learning rate (ablation)Finite-width networks · CIFAR-10accuracy: +1% to +5%Mixed
Add L2 weight decay (ablation)Finite-width networks · CIFAR-10accuracy: +1%-2%Helped
Combine L2 regularization with early stopping (ablation)CNN-VEC finite-width networks · CIFAR-10accuracy: 10% - 15%Helped
Use L2 regularization with NTK parameterization instead of standard parameterization (ablation)Finite-width networks · CIFAR-10accuracy: by up to 6%Helped
Scale standard-parameterization L2 layerwise by layer width (ablation)Finite-width standard-parameterization networks · CIFAR-10accuracyHelped
Increase width (ablation)CNN-VEC with NTK parameterization · CIFAR-10accuracyMixed

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