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Adversarial Robustness Against the Union of Multiple Perturbation Models

ICML 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 69 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use MSD instead of Max training4-layer CNN · MNIST, union of ℓ∞, ℓ2, and ℓ1 attacksadversarial accuracy: 42.1% -> 58.4%Helped
Use MSD instead of Avg training4-layer CNN · MNIST, union of ℓ∞, ℓ2, and ℓ1 attacksadversarial accuracy: 34.9% -> 58.4%Helped
Use MSD instead of Avg trainingpre-activation ResNet18 · CIFAR10, union of ℓ∞, ℓ2, and ℓ1 attacksadversarial accuracy: 40.6% -> 47.0%Helped
Use MSD instead of Max trainingpre-activation ResNet18 · CIFAR10, union of ℓ∞, ℓ2, and ℓ1 attacksadversarial accuracy: 34.9% -> 47.0%Helped
Remove the ℓ2 adversary from MSD training (ablation)MSD · MNISTPGD adversarial accuracy: drops by 1% on ℓ1 and ℓ∞; drops by 2% on ℓ2Hurt
Randomly vary the number of ℓ1 coordinates updated (ablation)MSD ℓ1 steepest-descent attack · Adversarial attack experimentsattack success rateHelped

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