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Can We Gain More from Orthogonality Regularizations in Training Deep Networks?

NeurIPS 2018 · Architectures and efficiency › CNN design · approach: Theory of convolutional inductive bias

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add SRIP regularizationWide ResNet 28-10 · CIFAR-10top-1 error rate: 4.16* -> 3.60Helped
Add SRIP regularizationWide ResNet 28-10 · CIFAR-100top-1 error rate: 20.50* -> 18.19Helped
Add SRIP regularizationResNet 34 · ImageNet ILSVRC-2012 valtop-5 error rate: 9.84 -> 8.32Helped
Add SRIP regularizationWide ResNet 16-8 · SVHNerror rate: 1.63% -> 1.56%Helped
Add SRIP instead of spectral norm regularizationWide ResNet 28-10 · CIFAR-10top-1 error rate: 3.93% -> 3.60%Helped
Add SRIP instead of OMDSMWide ResNet 28-10 · CIFAR-100top-1 error rate: 18.76% -> 18.19%Helped
Remove the scheme change and keep SRIP active without the switching schedule (ablation)Wide ResNet 28-10 with SRIP · CIFAR-10top-1 error rate: +0.33%Hurt
Remove the scheme change and keep SRIP active without the switching schedule (ablation)Wide ResNet 28-10 with SRIP · CIFAR-100top-1 error rate: +0.90%Hurt
Use orthogonality regularization and L2 weight decay together throughout training (ablation)CNNs with orthogonality regularization · CIFAR-10 and CIFAR-100top-1 accuracyHurt
Replace double soft orthogonality with selective soft orthogonality (ablation)CNNs using DSO · CIFAR-10 and CIFAR-100top-1 accuracyHurt
Add DSO rather than leaving the model unregularized (ablation)CNNs · CIFAR-10 and CIFAR-100top-1 error rateMixed
Add mutual coherence regularization (ablation)CNNs · CIFAR-10 and CIFAR-100top-1 error rateHelped

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