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Adversarial Robustness through Local Linearization

NeurIPS 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Regularized defenses against attacks · 190 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use local linearity regularization instead of adversarial trainingResNet-152 · ImageNet, 4/255Untargeted adversarial accuracy: 39.70% -> 47.00%Helped
Use local linearity regularization instead of adversarial trainingResNet-152 · ImageNet, 4/255PGD steps used for training: 30 -> 2Helped
Use LLR rather than ADVImageNet training on 128 TPUv3 cores · ImageNet, 4/255Training wall time: 36 hours -> 7 hours; 5× speed upHelped
Use LLR rather than TRADES(R)Wide-ResNet-40-8 · CIFAR-10, 8/255Multi-Targeted adversarial accuracy: 50.84% -> 52.81%Helped
Increase attack strength from Untargeted to Multi-TargetedLLR and ADV · CIFAR-10, 8/255Adversarial accuracy: LLR: 53.32% -> 51.14% (-2.18%); ADV: 54.43% -> 48.79% (-5.64%)Mixed
Add the gradient magnitude term |δ_LLRᵀ∇xℓ(x)| to γ regularization (ablation)LLR · CIFAR-10, Wide-ResNet-28-8, 8/255Multi-Targeted adversarial accuracy: 49.38% -> 51.13%Helped
Add the gradient magnitude term |δ_LLRᵀ∇xℓ(x)| to γ regularization (ablation)LLR · ImageNet, ResNet-152, 4/255Untargeted adversarial accuracy: 41.30% -> 47.00%Helped
Use LLR with 2 PGD steps instead of 2-step adversarial training (ablation)Wide-ResNet-28-8 · CIFAR-10, 8/255Multi-Targeted adversarial accuracy: 0.00% -> 44.50%Helped
Train LLR using 1 PGD step instead of 2 (ablation)Wide-ResNet-28-8 · CIFAR-10, 8/255Multi-Targeted adversarial accuracy: 44.50% -> 1.60%Hurt
Train adversarially with fewer PGD steps (ablation)Wide-ResNet-28-10 · CIFAR-10, 8/255Multi-Targeted adversarial accuracy: 45.91% (4 steps) -> 0.0% (2 steps); 46.03% (8 steps)Hurt
Increase the ImageNet perturbation radius from 4/255 to 16/255LLR · ImageNet, ResNet-152Nominal accuracy: 72.70% -> 51.20%Hurt
Increase the ImageNet perturbation radius from 4/255 to 16/255LLR · ImageNet, ResNet-152Untargeted adversarial accuracy: 47.00% -> 6.10%Hurt

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