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Fast Minimum-norm Adversarial Attacks through Adaptive Norm Constraints

NeurIPS 2021 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use FMN instead of BB for minimum-norm attackattacks on ImageNet ResNet18 and VGG16 · ImageNet, ℓ1 ε=1.0success rate (%): 31.4 -> 38.4; 30.4 -> 39.8Helped
Use FMN instead of PGDattacks on ImageNet ResNet18 and VGG16 · ImageNet, ℓ2 ε=0.15success rate (%): 61.7 -> 65.8; 61.4 -> 66.2Helped
Use FMN instead of PGDattacks on ImageNet ResNet18 and VGG16 · ImageNet, ℓ∞ ε=4 · 10^-4success rate (%): 51.0 -> 55.2; 49.0 -> 49.0Mixed
Apply FMN rather than the strongest listed baselineminimum-norm attacks on MNIST M2 · MNIST M2 untargeted, ℓ0median perturbation: 8 -> 9Hurt
Apply FMN rather than the strongest listed baselineminimum-norm attacks on MNIST M2 · MNIST M2 untargeted, ℓ1median perturbation: 3.08 -> 2.95Helped
Apply FMN rather than the strongest listed baselineminimum-norm attacks on MNIST M2 · MNIST M2 untargeted, ℓ2median perturbation: 1.34 -> 1.23Helped
Apply FMN rather than the strongest listed baselineminimum-norm attacks on MNIST M2 · MNIST M2 untargeted, ℓ∞median perturbation: .330 -> .339Hurt
Apply FMN rather than the strongest listed baselineminimum-norm attacks on CIFAR10 C1 · CIFAR10 C1 untargeted, ℓ0median perturbation: 8 -> 8No clear effect
Apply FMN rather than the strongest listed baselineminimum-norm attacks on CIFAR10 C1 · CIFAR10 C1 untargeted, ℓ1median perturbation: 3.75 -> 3.04Helped
Apply FMN rather than the strongest listed baselineminimum-norm attacks on CIFAR10 C1 · CIFAR10 C1 untargeted, ℓ2median perturbation: 0.63 -> 0.61Helped
Apply FMN rather than the strongest listed baselineminimum-norm attacks on CIFAR10 C1 · CIFAR10 C1 untargeted, ℓ∞median perturbation: .032 -> .032No clear effect
Use dataset-level hyperparameter tuning with FMN rather than BBminimum-norm attacks across MNIST and CIFAR10 · dataset-level hyperparameter tuningmedian perturbationHelped

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