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On the Loss Landscape of Adversarial Training: Identifying Challenges and How to Overcome Them

NeurIPS 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 36 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add eps warmup (cosine) to adversarial training (ablation)LeNet adversarial training · MNIST eps=0.4, PGDrobust error (%): 8.58 -> 6.64Helped
add eps warmup (linear) to adversarial training (ablation)LeNet adversarial training · MNIST eps=0.4, cleanclean error (%): 1.56 -> 1.06Helped
add eps warmup (cosine) to adversarial training (ablation)ResNet18, no periodic LR · CIFAR10 eps=8/255, PGDrobust error (%): 55.00 -> 53.95Helped
add eps warmup (cosine) to adversarial training (ablation)VGG, no periodic LR · CIFAR10 eps=8/255, PGDrobust error (%): 56.22 -> 56.06No clear effect
add eps warmup (cosine) with periodic LR ensemble (ablation)ResNet18 · CIFAR10 eps=8/255, PGDrobust error (%): 48.98 -> 48.57Helped
add periodic LR / 3-model ensemble (PAS) to constant eps (ablation)ResNet18 adversarial training · CIFAR10 eps=8/255, PGDrobust error (%): 55.00 -> 48.98Helped
add periodic LR / ensemble to constant eps (ablation)ResNet18 adversarial training · CIFAR10 eps=8/255, cleanclean error (%): 18.62 -> 21.00Hurt
add periodic LR / ensemble to constant eps (ablation)VGG adversarial training · CIFAR10 eps=8/255, PGDrobust error (%): 56.22 -> 54.24Helped
increase adversarial budget epsilonadversarial training · CIFAR10 ResNet18 early traininggradient norm / escape from initial regionHurt
increase adversarial budget epsilonadversarial training · CIFAR10 ResNet18 Hessiantop Hessian eigenvalues (sharpness)Hurt
add eps warmup (linear/cosine) (ablation)adversarial training with Adam · MNIST eps=0.4robust test error across learning ratesHelped
add learning rate warmup instead of eps warmup (ablation)adversarial training · MNISTrobust error across learning ratesNo clear effect

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