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Geometric Robustness of Deep Networks: Analysis and Improvement

CVPR 2018 · Adversarial robustness and security › Certified and empirical robustness · approach: Decision-boundary geometry of robustness · 116 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use ManiFool instead of Manitest to find fooling transformations2-layer CNN · MNIST, translation (T)time per sample: 2.7 s -> 2.6 sHelped
Use ManiFool instead of Manitest to find fooling transformations2-layer CNN · MNIST, rotation and translation (R+T)time per sample: 23.9 s -> 3.6 sHelped
Use ManiFool instead of Manitest to find fooling transformations2-layer CNN · MNIST, scaling and translation (S+T)time per sample: 34.6 s -> 6.2 sHelped
Use ManiFool instead of Manitest to find fooling transformations2-layer CNN · MNIST, translation, rotation and scaling (T+R+S)time per sample: 29.5 s -> 3.1 sHelped
Fine-tune using ManiFool-generated minimal label-changing affine transformationsResNet-18 · CIFAR10 testinvariance score: 1.13 -> 1.78Helped
Fine-tune using randomly transformed imagesResNet-18 · CIFAR10 testinvariance score: 1.13 -> 1.55Helped
Fine-tune using ManiFool-generated worst-case transformations rather than random transformationsResNet-18 · CIFAR10 testinvariance score: 1.55 -> 1.78Helped
Fine-tune using ManiFool-generated worst-case transformationsResNet-18 · CIFAR10 test, random affine transformations at distance 2.5misclassification rate: decreased more than 20%Helped
Fine-tune using ManiFool-generated worst-case transformationsResNet-18 · CIFAR10 testaccuracy: 0.6% reductionHurt

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