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

Robust Bayesian Neural Networks by Spectral Expectation Bound Regularization

CVPR 2021 · Adversarial robustness and security › Certified and empirical robustness · approach: Neural network robustness verification · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add SEBR (ablation)Bayesian MLP · MNIST, FGSM medium (ℓ∞ norm 0.16)accuracy: 8.97 ± 0.28 -> 43.69 ± 5.92Helped
Add SEBR (ablation)Bayesian CNN · MNIST, PGD medium (ℓ∞ norm 0.08)accuracy: 36.53 ± 5.85 -> 49.20 ± 10.75Helped
Add SEBR (ablation)Bayesian MLP · Fashion-MNIST, PGD medium (ℓ∞ norm 0.1)accuracy: 19.18 ± 1.01 -> 29.67 ± 1.22Helped
Add SEBR (ablation)Bayesian MLP · MNIST, cleanaccuracy: 97.05 ± 0.38 -> 96.83 ± 0.48Hurt
Add SEBR (ablation)Adversarially trained Bayesian MLP · MNIST, FGSM large (ℓ∞ norm 0.3)accuracy: 9.94 ± 0.13 -> 33.09 ± 8.23Helped
Use the analytic upper bound instead of directly regularizing expected spectral normsBayesian neural network training · Training epochaverage time per epoch: 1654.8 (s) -> 410.5 (s)Helped
Increase the SEBR regularization factor beyond a suitable value (ablation)Bayesian neural network · Adversarial examplesaccuracyHurt

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