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Certified Robustness for Top-k Predictions against Adversarial Perturbations via Randomized Smoothing

ICLR 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Certified training and ensembles · 33 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase k from top-1 to top-2 (ablation)Randomized smoothing · CIFAR10, ℓ2 radius 0.5 (127/255)certified top-k accuracy: 45.2% -> 58.8%Helped
Increase k from top-2 to top-3 (ablation)Randomized smoothing · CIFAR10, ℓ2 radius 0.5 (127/255)certified top-k accuracy: 58.8% -> 67.2%Helped
Increase k from top-1 to top-3 (ablation)Randomized smoothing · ImageNet, ℓ2 radius 0.5certified top-k accuracy: 46.6% -> 57.8%Helped
Increase k from top-3 to top-5 (ablation)Randomized smoothing · ImageNet, ℓ2 radius 0.5certified top-k accuracy: 57.8% -> 62.8%Helped
Increase the confidence level (ablation)Randomized smoothing certification · CIFAR10 and ImageNet, certified top-3 accuracycertified top-3 accuracyNo clear effect
Use a smaller Gaussian noise level σ (ablation)Randomized smoothing · CIFAR10 and ImageNet, certified top-3 accuracycertified top-3 accuracyMixed
Replace BinoCP with SimuEM (ablation)Randomized smoothing certification · CIFAR10 and ImageNet, k=3certified top-3 accuracyMixed

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