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Adversarial Lipschitz Regularization

ICLR 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Decision-boundary geometry of robustness · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use ALP instead of GP in Progressive GANProgressive GAN · CelebA-HQFID: 8.69 -> 14.65Hurt
Use adversarially selected input pairs for explicit Lipschitz penaltiesWGAN critic · CIFAR-10FID: 18.86 ± .13 -> 12.96 ± .35Helped
Replace VAT's KL-based output distance with logit-space mean squared difference and randomize epsilon (ablation)ConvLarge semi-supervised classifier · CIFAR-10 testaccuracy: 82.46% -> 83.54%Helped
Replace VAT's KL-based output distance with logit-space mean squared difference and randomize epsilon (ablation)ConvLarge semi-supervised classifier · CIFAR-10 validationaccuracy: 84.2% -> 85.3%Helped
Add batch normalization to the critic and use ALP (ablation)WGAN-ALP · CIFAR-10Inception Score (best during training): 8.34 ± .06 -> 8.71Helped
Add batch normalization to the critic and use GP (ablation)WGAN-GP · CIFAR-10Inception Score (best during training): 7.86 ± .07 -> 6.29Hurt
Use a two-sided rather than one-sided explicit Lipschitz penalty (ablation)WGAN-ALP · CIFAR-10training stabilityMixed
Vary ξ (ablation)ALR · Tasks consideredperformanceNo clear effect
Use ALR rather than LP with a critic containing batch normalization (ablation)Lipschitz-regularized critic · Toy function approximationgradient smoothnessHelped
Use spectral normalization rather than no regularization (ablation)MLP function approximator · Toy function approximationgradient match to the optimal mappingMixed

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