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Regularized Training and Tight Certification for Randomized Smoothed Classifier with Provable Robustness

AAAI 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Randomized smoothing certification · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add ADRE regularization (σ=0.12, λ=0.2) to Basic training110-layer residual network · CIFAR-10certified top-1 accuracy at radius 0.0: 0.81 -> 0.85Helped
Add ADRE regularization (σ=0.12, λ=0.2) to Basic training110-layer residual network · CIFAR-10certified top-1 accuracy at radius 0.25: 0.59 -> 0.67Helped
Add ADRE regularization (σ=0.25, λ=0.1) to Basic training110-layer residual network · CIFAR-10certified top-1 accuracy at radius 0.5: 0.43 -> 0.50Helped
Add ADRE regularization (σ=0.25, λ=0.05) to Basic trainingResNet-50 · ImageNetcertified top-1 accuracy at radius 0.0: 0.67 -> 0.70Helped
Add ADRE regularization (σ=0.25, λ=0.05) to Basic trainingResNet-50 · ImageNetcertified top-1 accuracy at radius 0.5: 0.49 -> 0.57Helped
Increase ADRE strength from λ=0.1 to λ=0.2 at σ=0.12 (ablation)ADRE_REG · CIFAR-10certified top-1 accuracy at radius 0.0: 0.83 -> 0.85Helped
Increase ADRE strength from λ=0.2 to λ=0.3 at σ=0.12 (ablation)ADRE_REG · CIFAR-10certified top-1 accuracy at radius 0.0: 0.85 -> 0.83Hurt
Increase ADRE strength from λ=0.05 to λ=0.10 at σ=0.25 (ablation)ADRE_REG · ImageNetcertified top-1 accuracy at radius 0.0: 0.70 -> 0.69Hurt
Use T-CERTIFY instead of CERTIFY, estimating top and runner-up probabilities separatelyRandomized smoothed classifiers · CIFAR-10 and ImageNetcertified accuracyHelped
Use ADRE regularization in place of the unregularized objective during adversarial trainingRandomized smoothed classifiers · CIFAR-10 and ImageNetapproximate certified accuracyHelped

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