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Deep Hyperspherical Learning

NeurIPS 2017 · Architectures and efficiency › CNN design · approach: Compact CNN architectures · 79 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace standard convolutions with SphereConv and use GA-SoftmaxResNet-32 · CIFAR-10+accuracy: 93.26 -> 95.01Helped
Replace standard convolutions with SphereConv and use GA-SoftmaxResNet-32 · CIFAR-100accuracy: 72.85 -> 76.39Helped
Use SphereConv instead of original convolution (ablation)CNN-9 with GA-Softmax · CIFAR-10, no augmentationaccuracy: 91.80 -> 92.38Helped
Use GA-Softmax instead of original softmax (ablation)Sigmoid SphereNet (k=0.3) · CIFAR-10, CNN-9, no augmentationaccuracy: 91.08 -> 92.38Helped
Use GA-Softmax instead of A-Softmax (ablation)Sigmoid SphereNet (k=0.3) · CIFAR-10, CNN-9, no augmentationaccuracy: 92.13 -> 92.38Helped
Learn sigmoid SphereConv parameter k independently for each filter (ablation)CNN-9 SphereNet · CIFAR-10, no augmentationaccuracy: 91.22% -> 91.64%Helped
Increase network width (ablation)SphereNet · CIFAR-10accuracyHelped
Remove ReLU while retaining SphereConv (ablation)CNN-18 SphereNet · CIFAR-10, without ReLUaccuracy: 80.73 -> 86.29Helped
Add orthogonality constraints on kernel weights (ablation)SphereNet · CIFAR-10accuracyMixed
Use SphereNorm instead of BatchNorm (ablation)CNN-9 · CIFAR-10 with small mini-batchesaccuracyNo clear effect
Use SphereNorm together with BatchNorm (ablation)CNN-9 · CIFAR-10 with small mini-batchesaccuracyHelped
Rescale SphereNorm output (ablation)CNN-9 SphereNorm · CIFAR-10 with small mini-batchesaccuracyHurt

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