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Certified Adversarial Robustness via Randomized Smoothing

ICML 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Randomized smoothing certification · 587 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Gaussian randomized smoothing with σ=0.25 instead of σ=0.50ResNet-50 smoothed classifier · ImageNet, ℓ2 radius 0.5approximate certified accuracy (%): 49Helped
Increase the certified ℓ2 radiusImageNet randomized smoothing · ImageNet, radii 0.5 to 3.0approximate certified accuracy (%): 49 -> 37 -> 19 -> 12Hurt
Use a larger noise level for certificationImageNet randomized smoothing · ImageNetstandard accuracy (%): 67 -> 57 -> 44Hurt
Use the paper's tight Gaussian smoothing guarantee instead of prior looser guaranteesRandomized smoothing · ImageNetcertified accuracyHelped
Use a 110-layer ResNet base classifier rather than the small ResNet baseline architectureRandomized smoothing · CIFAR-10 and ImageNet certified accuracy across radiicertified accuracyHelped
Use randomized smoothing with the same small ResNet architecture as the baselineSmall ResNet · Certified accuracy at radii other than the smallestcertified accuracyHelped
Increase Monte Carlo samples for Predict from n=100 to n=1000ImageNet randomized smoothing · ImageNet, σ=0.25abstention rate (%): 12% -> 4%Helped
Increase Monte Carlo samples for Predict from n=1000 to n=10,000ImageNet randomized smoothing · ImageNet, σ=0.25abstention rate (%): 4% -> 1%Helped
Attack the smoothed classifier at a larger radius, from 1.5R to 2RImageNet randomized smoothing · ImageNet adversarial attackattack success rate (%): 17% -> 53%Mixed

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