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On the Convergence and Robustness of Adversarial Training

ICML 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Adversarial training refinements

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
FOSC-based dynamic training (gradually decreasing FOSC threshold, weak adversaries early and strong later)PGD adversarial training on CIFAR-10 (8-layer CNN) · CIFAR-10 white-boxPGD-10 accuracy: 44.39 -> 48.06Helped
FOSC-based dynamic trainingMadry's WideResNet adversarial training on CIFAR-10 · CIFAR-10 WideResNet white-boxPGD-20 accuracy: 45.8 -> 48.70Helped
FOSC-based dynamic trainingPGD adversarial training on MNIST · MNIST white-boxPGD-20 accuracy: 90.62 -> 91.27Helped
FOSC-based dynamic trainingPGD adversarial training on CIFAR-10 (8-layer CNN) · CIFAR-10 black-boxPGD-20 accuracy: 65.60 -> 72.02Helped
curriculum adversarial training (increasing PGD steps)WideResNet adversarial training on CIFAR-10 · CIFAR-10 WideResNet white-boxC&W-inf accuracy: 46.8 -> 42.28Hurt
using weaker FGSM adversaries for the first 20 epochs before PGD (ablation)PGD-eps/4 adversarial training on CIFAR-10 · CIFAR-10 8-layer CNNFOSC density in [0,0.1] at later stage: under 30% -> above 35%Helped
training with FGSM-then-PGD (weak early adversaries) instead of PGD from start (ablation)PGD-eps/4 adversarial training on CIFAR-10 · CIFAR-10 8-layer CNNfinal robustness: qualitative: robustness significantly improved per Figure 3bHelped
curriculum adversarial training (increasing PGD steps)adversarial training on CIFAR-10 (8-layer CNN) · CIFAR-10 white-boxFGSM accuracy: 48.65 -> 50.47 (vs Standard)Helped
Dynamic training vs Curriculum on large-epsilon attacksadversarial training on CIFAR-10 (8-layer CNN) with varying test epsilon · CIFAR-10 white-box PGD-10 at eps 8/255robustness: qualitative: Dynamic better than Curriculum against stronger attacksHelped

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