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Revisiting and Advancing Fast Adversarial Training Through The Lens of Bi-Level Optimization

ICML 2022 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace FAT's sign-linearized attack with FBAT's smooth lower-level objective and implicit-gradient updateFast adversarial training · CIFAR-10, CIFAR-100, and Tiny-ImageNet, PreActResNet-18RA-PGD (%): CIFAR-10 ε=16/255: 26.01 -> 27.69; CIFAR-100 ε=16/255: 12.27 -> 13.97; Tiny-ImageNet ε=16/255: 6.79 -> 8.83Helped
Add the implicit-gradient update rather than using the FATGA baselineFast adversarial training · CIFAR-10, PreActResNet-18, ε=16/255SA (%): 58.29 -> 68.16Helped
Use the Hessian in the implicit-gradient calculation (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255Time (s/epoch): 61.4 -> 82.6Hurt
Use the Hessian in the implicit-gradient calculation (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255RA-PGD (%): 27.69 -> 27.82No clear effect
Set the attack step 1/λ to 500 (/255), rather than 2500 (/255) (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255RA-PGD (%): 27.69 -> 19.02Hurt
Set α₂ to 0.008α₁ rather than 0.0125α₁ (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255RA-PGD (%): 27.69 -> 20.53Hurt
Use uniformly random noise as the linearization point instead of one-step PGD without sign (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255RA-PGD (%): 27.69 -> 21.25Hurt
Use a random corner as the linearization point instead of one-step PGD without sign (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255RA-PGD (%): 27.69 -> 16.5Hurt
Use one-step PGD with sign as the linearization point instead of one-step PGD without sign (ablation)FBAT · CIFAR-10, PreActResNet-18, ε=16/255RA-PGD (%): 27.69 -> 19.42Hurt
Replace FAT with FBATFast adversarial training · ImageNet, ResNet-50, ε=2/255RA-PGD (%): 43.43 -> 44.64Helped

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