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Approximation and Learning with Deep Convolutional Models: a Kernel Perspective

ICLR 2022 · Learning theory and algorithms › Kernels and regression theory · approach: Neural tangent kernel analysis · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a second-layer Poly3 kernel instead of Exp (ablation)2-layer CKN · CIFAR-10 test (50k training)accuracy: 88.3% -> 88.2%No clear effect
Use a second-layer Poly2 kernel instead of Exp (ablation)2-layer CKN · CIFAR-10 test (50k training)accuracy: 88.3% -> 87.4%Hurt
Use a second-layer Poly2 kernel instead of Exp (ablation)2-layer CKN · SVHN testaccuracy: 89.5% -> 88.6%Hurt
Use a linear kernel at the second layer instead of a nonlinear kernel (ablation)2-layer CKN · SVHN testaccuracy: 89.5% -> 78.5%Hurt
Use Poly2 in the first layer instead of Exp (ablation)2-layer CKN · CIFAR-10 test (10k training)accuracy: 87.9% -> 85.1%Hurt
Remove the second nonlinear convolutional layer (ablation)2-layer CKN · CIFAR-10 test (10k training)accuracy: 87.9% -> 80.9%Hurt
Use degree-2 kernels at both higher layers instead of Exp (ablation)3-layer CKN · CIFAR-10 test (50k training)accuracy: 88.2% -> 87.9%Hurt
Remove Gaussian pooling by using strided pooling (ablation)CKN · CIFAR-10 test (10k training)accuracy: less than 40%Hurt
Replace Gaussian pooling with average pooling (ablation)2-layer CKN (Exp, Exp), CIFAR-10 · CIFAR-10 test (50k training)accuracy: 88.3% -> 75.9%Hurt
Replace Gaussian pooling with average pooling (ablation)3-layer CKN (Exp, Exp, Exp) · CIFAR-10 test (50k training)accuracy: 88.2% -> 72.4%Hurt
Increase first-layer patch size from 3x3 to 5x5 (ablation)2-layer CKN · CIFAR-10 test (10k training)accuracy: 80.5% -> 79.6%Hurt
Use global ZCA instead of patch-level whitening (ablation)2-layer CKN · CIFAR-10 test (50k training)accuracy: 88.3% -> about 80%Hurt

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