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Towards the first adversarially robust neural network model on MNIST

ICLR 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Robustness-accuracy trade-off analysis · 237 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use class-conditional generative analysis-by-synthesis instead of adversarial trainingMNIST classifier · MNIST test, all L2 attacksmedian adversarial distance (L2): 1.4 -> 2.3Helped
use class-conditional generative analysis-by-synthesis instead of adversarial trainingMNIST classifier · MNIST test, all L2 attacksaccuracy at L2 epsilon = 1.5: 35 -> 80Helped
use class-conditional generative analysis-by-synthesis instead of adversarial trainingMNIST classifier · MNIST test, all L∞ attacksmedian adversarial distance (L∞): 0.34 -> 0.23Hurt
use class-conditional generative analysis-by-synthesis instead of adversarial trainingMNIST classifier · MNIST test, all L∞ attacksaccuracy at L∞ epsilon = 0.3: 88 -> 8Hurt
use class-conditional generative analysis-by-synthesis instead of adversarial trainingMNIST classifier · MNIST test, all L0 attacksmedian adversarial distance (L0): 4.0 -> 22.0Helped
use class-conditional generative analysis-by-synthesis instead of adversarial trainingMNIST classifier · MNIST test, all L0 attacksaccuracy at L0 epsilon = 12: 0 -> 78Helped
add test-time input binarization (ablation)ABS · MNIST test, all L2 attacksmedian adversarial distance (L2): 2.3 -> 1.3Hurt
add test-time input binarization (ablation)ABS · MNIST test, all L∞ attacksmedian adversarial distance (L∞): 0.23 -> 0.44Helped
add test-time input binarization (ablation)ABS · MNIST test, all L0 attacksmedian adversarial distance (L0): 22.0 -> 36.0Helped
add test-time input binarization (ablation)ABS · MNIST test, L2 robustness guaranteemean perturbation lower bound (L2): 0.690 ± 0.005 -> 0.601 ± 0.005Hurt
add test-time input binarization (ablation)ABS · MNIST test, all L∞ attacksaccuracy at L∞ epsilon = 0.3: 8 -> 77Helped
add test-time input binarization (ablation)ABS · MNIST test, all L0 attacksaccuracy at L0 epsilon = 12: 78 -> 82Helped

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