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

Fundamental Tradeoffs between Invariance and Sensitivity to Adversarial Perturbations

ICML 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Attack evaluation and defense critique · 52 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase ℓ∞-PGD training perturbation boundMNIST classifiers · MNIST ℓ∞ invariance examplesAccuracy against human labelsHurt
Increase ℓ1-PGD training perturbation boundMNIST classifiers · MNIST ℓ0 invariance examplesAccuracy against human labelsHurt
Train for ℓp-bounded sensitivity robustnessMNIST robust classifiers · MNIST invariance examplesAccuracy against human labelsHurt
Use manual examples rather than automated examplesℓ∞ invariance attack ε=0.4 · MNIST human studySuccess rate: 37% -> 88%Helped
Use manual examples rather than automated examplesℓ∞ invariance attack ε=0.3 · MNIST human studySuccess rate: 21% -> 26%Helped
Increase ℓ∞ perturbation budget from ε=0.3 to ε=0.4Automated invariance attack · MNIST human studySuccess rate: 21% -> 37%Helped
Add data augmentation over spatial transformationsMNIST models trained against ℓ∞ perturbations · MNIST invariance examples ε=0.4Agreement with human labelsHelped
Increase ℓ∞ training perturbation bound while using spatial data augmentationMNIST models · MNIST augmented adversarial trainingRobust accuracyHurt
Use a larger ℓ1-PGD training boundMNIST classifiers · MNIST, ℓ0-PointwiseAttack ε=25Robust accuracy: 41% -> 59% -> 65%Helped
Increase ℓ∞-PGD training bound from ε=0.2 to ε=0.3MNIST classifiers · MNIST, PGD ε=0.3Robust accuracy: 6% -> 92%Helped
Increase ℓ∞-PGD training bound from ε=0.3 to ε=0.4MNIST classifiers · MNIST, PGD ε=0.4Robust accuracy: 7% -> 90%Helped

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