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CNN-Cert: An Efficient Framework for Certifying Robustness of Convolutional Neural Networks

AAAI 2019 · Architectures and efficiency › CNN design · approach: Theory of convolutional inductive bias · 130 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use CNN-Cert's convolution-aware certification instead of Fast-Lin on pure CNNsMNIST 4-layer CNN · MNIST 4-layer CNN, ℓ∞certified lower bound: 0.0406 -> 0.0491Helped
Use CNN-Cert rather than Fast-Lin for certificationMNIST 4-layer CNN · MNIST 4-layer CNN, ℓ∞runtime (sec): 9.03 -> 2.33Helped
Use CNN-Cert-ada instead of CNN-Cert-ReLU bounds (ablation)MNIST LeNet · MNIST LeNet, ℓ∞certified lower bound: 0.0113 -> 0.0120Helped
Remove pooling layers (ablation)MNIST LeNet-style CNN · MNIST LeNet, ℓ∞certified lower bound: 0.0120 -> 0.0273Helped
Use CNN-Cert-ada instead of CNN-Cert-ReLU bounds (ablation)MNIST ResNet-3 · MNIST ResNet-3, ℓ∞certified lower bound: 0.0179 -> 0.0202Helped
Replace ReLU with sigmoid (ablation)MNIST LeNet · MNIST LeNet, ℓ∞certified lower bound: 0.0113 -> 0.0124Helped
Replace ReLU with tanh (ablation)MNIST LeNet · MNIST LeNet, ℓ∞certified lower bound: 0.0113 -> 0.0170Helped
Replace ReLU with arctan (ablation)MNIST LeNet · MNIST LeNet, ℓ∞certified lower bound: 0.0113 -> 0.0153Helped
Use CNN-Cert-ada rather than Dual-LPMNIST 2-layer MLP · MNIST 2-layer MLP, ℓ∞certified lower bound: 0.0372 -> 0.0371No clear effect

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