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Improving Adversarial Robustness via Promoting Ensemble Diversity

ICML 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Robustness-accuracy trade-off analysis · 223 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add ADP regularization (α=2, β=0.5) to the ensembleThree-member ResNet-20 ensemble · MNIST, CIFAR-10, and CIFAR-100 test setsclassification error rate (%): MNIST: 0.32 -> 0.28; CIFAR-10: 6.78 -> 6.56; CIFAR-100: 30.35 -> 29.80Helped
Add ADP regularization (α=2, β=0.5) to the ensembleThree-member ResNet-20 ensemble · MNIST FGSM (ε=0.1), BIM (ε=0.1), and PGD (ε=0.1)classification accuracy (%): FGSM: 78.3 -> 96.3; BIM: 52.3 -> 88.5; PGD: 50.7 -> 82.8Helped
Add ADP regularization (α=2, β=0.5) to the ensembleThree-member ResNet-20 ensemble · CIFAR-10 FGSM (ε=0.02) and PGD (ε=0.01)classification accuracy (%): FGSM: 36.5 -> 61.7; PGD: 23.4 -> 48.4Helped
Add ADP regularization to FGSM adversarial trainingCIFAR-10 ResNet-20 ensemble · CIFAR-10 FGSM adversarial training (ε=0.04)classification accuracy (%): 39.3 -> 56.1Helped
Add ADP regularization to PGD adversarial trainingCIFAR-10 ResNet-20 ensemble · CIFAR-10 PGD adversarial trainingclassification accuracy (%): PGD: 32.8 -> 36.2Helped
Remove the LED diversity term (set β=0), retaining ensemble entropy (ablation)ADP-trained ensemble · CIFAR-10 testclassification error rate (%): 6.56 -> 6.74Hurt
Remove the LED diversity term (set β=0), retaining ensemble entropy (ablation)ADP-trained ensemble · CIFAR-10 PGD (ε=0.01)classification accuracy (%): 43.2 -> 48.4Hurt
Remove both regularizer terms (α=β=0; baseline training) (ablation)Three-member ResNet-20 ensemble · CIFAR-10 testclassification error rate (%): 6.56 -> 6.78Hurt
Use ADP instead of baseline trainingIndividual members of the three-member ensemble · CIFAR-10 testclassification error rate (%): Net 1: 8.30 -> 9.34; Net 2: 8.52 -> 9.34; Net 3: 8.67 -> 9.92Hurt
Train five members with ADP when K does not divide L−1Five-member ResNet-20 ensemble · CIFAR-10 FGSM (ε=0.02)classification accuracy (%): 42.0 -> 58.4Helped
Promote diversity among member predictions with ADP trainingEnsemble members · CIFAR-10, adversarial examples transferred between memberstransferabilityHelped
Add ADP training to the ensembleCIFAR-10 ensemble, K=20 · CIFAR-10 trainingtraining time per epoch: 692s/epoch -> 744s/epochHurt

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