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Kervolutional Neural Networks

CVPR 2019 · Architectures and efficiency › CNN design · approach: Large and dynamic kernel design · 48 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace convolutional layers with polynomial kervolutionResNet · CIFAR-10 and CIFAR-100validation error (%): 13.63 -> 10.85; 44.74 -> 37.12Helped
Replace convolution with kervolutionGoogLeNet · CIFAR-10+ and CIFAR-100+validation error (%): 13.37 -> 5.16; 26.65 -> 20.84Helped
Replace convolution with kervolutionResNet · CIFAR-10+ and CIFAR-100+validation error (%): 6.43 -> 4.69; 27.22 -> 22.49Helped
Replace convolution with kervolutionDenseNet-40-12 · CIFAR-10+ and CIFAR-100+validation error (%): 5.24 -> 5.08; 24.42 -> 24.92Mixed
Replace ResNet convolutional layers with polynomial kervolutionResNet-18, ResNet-34, ResNet-50, ResNet-101 · ImageNet validationtop-1 and top-5 error: top-1: 30.24 / 27.88 -> 29.74 / 27.43; 26.70 / 25.03 -> 26.29 / 24.28; 23.85 / 22.85 -> 23.56 / 22.05; 22.63 / 21.75 -> Helped
Use sigmoid rather than polynomial or Gaussian kervolution (ablation)LeNet-5 · MNIST validationtraining time to 98% accuracy: 2× slowerHurt
Use learnable polynomial kernel parameters (ablation)LeNet-5 · MNISTaccuracy (%): 99.20%Helped
Arrange polynomial kervolution as kerv-conv rather than conv-kerv (ablation)LeNet-5 · MNIST validationvalidation accuracy and convergence speedMixed
Use kervolution in both layers (kerv-kerv) (ablation)LeNet-5 · MNIST validationconvergence speed and validation accuracyMixed
Remove activation layers and replace max pooling with average pooling (ablation)CNN · MNISTaccuracy (%): 92.22%Hurt
Remove activation layers and replace max pooling with average pooling (ablation)Gaussian-polynomial KNN and polynomial-polynomial KNN · MNISTaccuracy (%): 99.11%Helped
Use L2-norm rather than L1-norm kervolution (ablation)LeNet-5 · MNISTaccuracy (%): 99.05% -> 99.19%Helped

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