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Global Second-Order Pooling Convolutional Networks

CVPR 2019 · Architectures and efficiency › CNN design · approach: Higher-order pooling · 499 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Introduce second-order pooling across network stagesResNet-50 using GSoP-Net2 · ImageNet-1Ktop-1 error: 22.14 -> 21.19Helped
Use second-order pooling across network stages with global average pooling at the endResNet-50 using GSoP-Net1 · ImageNet-1Ktop-1 error: 23.85 -> 22.32Helped
Use GSoP-Net2 rather than the vanilla backbonepre-activation ResNet-164 · CIFAR-100top-1 error: 24.33 -> 18.58Helped
Use channel-wise rather than position-wise pooling (ablation)GSoP-Net1 · ImageNet-1/4Ktop-1 error: 18.37 -> 17.42Helped
Fuse channel-wise and position-wise outputs by averaging (ablation)GSoP-Net1 · ImageNet-1/4Ktop-1 error: 17.42 -> 17.90Hurt
Fuse channel-wise and position-wise outputs by maximum (ablation)GSoP-Net1 · ImageNet-1/4Ktop-1 error: 17.42 -> 17.48No clear effect
Fuse channel-wise and position-wise outputs by concatenation (ablation)GSoP-Net2 · ImageNet-1/4Ktop-1 error: 16.68 -> 16.49No clear effect
Increase channel covariance size from 64×64 to 128×128 (ablation)GSoP-Net1 · ImageNet-1/4Ktop-1 error: 18.00 -> 17.42Helped
Increase channel covariance size from 128×128 to 256×256 (ablation)GSoP-Net1 · ImageNet-1/4Ktop-1 error: 17.42 -> 17.61Hurt
Add one channel-wise block at any single residual stage (ablation)ResNet-26 · ImageNet-1/4Ktop-1 error: 19.18 -> 18.45; 19.18 -> 18.72; 19.18 -> 18.85; 19.18 -> 18.33Helped
Use covariance pooling at the network end rather than global average pooling (ablation)GSoP-Net2 versus GSoP-Net1 · ImageNet-1/4Ktop-1 error: 17.42 -> 16.68Helped
Introduce second-order pooling in earlier stages in addition to iSQRT-COV at the end (ablation)ResNet-26 · ImageNet-1/4Ktop-1 error: 17.43 -> 16.68Helped

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