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Theoretically Principled Trade-off between Robustness and Accuracy

ICML 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Robustness-accuracy trade-off analysis · 1,119 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use TRADES instead of Madry robust optimizationCIFAR10, WRN-34-10 · CIFAR10, FGSM^20 (PGD) white-box, ε=0.031 (ℓ∞)robust accuracy: 47.04% -> 56.61%Helped
Increase TRADES regularization from 1/λ=1 to 1/λ=6 (ablation)CIFAR10, WRN-34-10 · CIFAR10, FGSM^20 (PGD) white-boxrobust accuracy: 49.14% -> 56.61%Helped
Increase TRADES regularization from 1/λ=1 to 1/λ=6 (ablation)CIFAR10, WRN-34-10 · CIFAR10, FGSM^20 (PGD) white-boxnatural accuracy: 88.64% -> 84.92%Hurt
Increase regularization 1/λ (ablation)TRADES on CIFAR10 · CIFAR10, FGSM^20 white-box, ε=0.031 (ℓ∞)robust accuracy: 26.53 ± 1.1698 -> 50.64 ± 0.3336Helped
Increase regularization 1/λ (ablation)TRADES on CIFAR10 · CIFAR10, FGSM^20 white-box, ε=0.031 (ℓ∞)natural accuracy: 91.31 ± 0.0579 -> 81.72 ± 0.0286Hurt
Increase regularization 1/λ (ablation)TRADES on MNIST · MNIST, FGSM^40 white-box, ε=0.1robust accuracy: 91.09 ± 0.0385 -> 95.65 ± 0.0340Helped
Increase regularization 1/λ (ablation)TRADES on MNIST · MNIST, FGSM^40 white-box, ε=0.1natural accuracy: 99.41 ± 0.0235 -> 99.16 ± 0.0403No clear effect
Use TRADES rather than MadryMNIST CNN · MNIST, FGSM^40 black-box (Natural source)robust accuracy: 97.43% -> 97.63%Helped
Use TRADES rather than MadryCIFAR10 WRN-34-10 · CIFAR10, FGSM^20 black-box (Madry source)robust accuracy: 66.00% -> 70.14%Helped
Use TRADES rather than Madry robust optimizationMNIST CNN · MNIST, FGSM^40 (PGD) white-box, ε=0.3 (ℓ∞)robust accuracy: 96.01% -> 96.07%No clear effect

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