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Research map / Adversarial robustness and security / Certified and empirical robustness

Generalizable Adversarial Training via Spectral Normalization

ICLR 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 67 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add spectral normalization (ablation)AlexNet with FGM ℓ2 adversarial training · CIFAR10test accuracy: 0.54 -> 0.63Helped
Add spectral normalization (ablation)AlexNet with PGM ℓ2 adversarial training · CIFAR10test accuracy: 0.50 -> 0.62Helped
Add spectral normalization (ablation)AlexNet with WRM adversarial training · CIFAR10test accuracy: 0.61 -> 0.65Helped
Add spectral normalization (ablation)AlexNet with ERM · CIFAR10test accuracy: 0.79 -> 0.79No clear effect
Add spectral normalization (ablation)1-layer MLP with FGM ℓ2 adversarial training · MNISTtest accuracy: 0.88 -> 0.96Helped
Add spectral normalization (ablation)AlexNet with FGM ℓ2 adversarial training · SVHNtest accuracy: 0.76 -> 0.83Helped
Normalize the full convolution operation rather than only the convolution kernel (ablation)AlexNet with PGM ℓ2 adversarial training · CIFAR10validation accuracy: 0.55 -> 0.60Helped
Use spectral normalization rather than batch normalization (ablation)AlexNet with PGM ℓ2 adversarial training · CIFAR10validation accuracy: 0.54 -> 0.60Helped
Use spectral normalization rather than weight decay (ablation)AlexNet with PGM ℓ2 adversarial training · CIFAR10validation accuracy: 0.55 -> 0.60Helped
Use spectral normalization rather than dropout (ablation)AlexNet with PGM ℓ2 adversarial training · CIFAR10validation accuracy: 0.52 -> 0.60Helped
Apply spectral normalization to adversarial training (ablation)AlexNet with FGM, PGM, and WRM training · CIFAR10test accuracy: 0.09, 0.11, and 0.04Helped

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