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Efficient Exact Verification of Binarized Neural Networks

NeurIPS 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Neural network robustness verification · 29 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use BinMask sparsifier instead of ternary quantization (ablation)conv-small BNN, MNIST eps=0.1 · MNISTmean solve time (s): 756.288 -> 0.002Helped
use BinMask instead of ternary quantization (ablation)conv-small BNN · CIFAR10 eps=2/255mean solve time (s): 0.267 -> 0.003Helped
use BinMask instead of ternary quantization (ablation)conv-small BNN · MNIST / CIFAR10natural test accuracy: 97.59% -> 97.35% (MNIST); 54.78% -> 55.22% (CIFAR10)No clear effect
add cardinality bound decay loss (eta=1e-4) (ablation)conv-large BNN adversarially trained · MNIST eps=0.3mean solve time (s): 2442.698 -> 0.009Helped
add cardinality bound decay loss (ablation)conv-large BNN · MNIST eps=0.3natural test accuracy: 98.88% -> 96.97%Hurt
add cardinality bound decay loss (ablation)conv-large BNN · CIFAR10 eps=8/255PGD accuracy: 15.32% -> 27.06%Helped
add cardinality bound decay loss (ablation)conv-large BNN · CIFAR10 eps=8/255natural test accuracy: 53.91% -> 40.80%Hurt
use tanh gradient cancelling instead of hard tanh (ablation)conv-large BNN adversarial training · CIFAR10 eps=8/255verifiable accuracy: 11.13% -> 14.70%Helped
use adaptive gradient cancelling instead of tanh (ablation)conv-large BNN · CIFAR10 eps=8/255verifiable accuracy: 14.70% -> 20.08%Helped
add verifier-generated adversarial examples in last ten epochs (ablation)conv-large BNN adaptive · CIFAR10 eps=8/255verifiable accuracy: 20.08% -> 22.55%Helped
use tanh instead of hard tanh gradient in PGD attack (ablation)conv-small network · CIFAR10attack success rate: 19.82% -> 23.25%Helped
use BNN with EEV instead of exact verification of real-valued netsconv-small/large · CIFAR10 eps=2/255verifiable accuracy: 45.93% -> 26.13% (small)Hurt

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