Research map / Adversarial robustness and security / Certified and empirical robustness
Efficient Exact Verification of Binarized Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use BinMask sparsifier instead of ternary quantization (ablation) | conv-small BNN, MNIST eps=0.1 · MNIST | mean solve time (s): 756.288 -> 0.002 | Helped |
| use BinMask instead of ternary quantization (ablation) | conv-small BNN · CIFAR10 eps=2/255 | mean solve time (s): 0.267 -> 0.003 | Helped |
| use BinMask instead of ternary quantization (ablation) | conv-small BNN · MNIST / CIFAR10 | natural 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=0.3 | mean solve time (s): 2442.698 -> 0.009 | Helped |
| add cardinality bound decay loss (ablation) | conv-large BNN · MNIST eps=0.3 | natural test accuracy: 98.88% -> 96.97% | Hurt |
| add cardinality bound decay loss (ablation) | conv-large BNN · CIFAR10 eps=8/255 | PGD accuracy: 15.32% -> 27.06% | Helped |
| add cardinality bound decay loss (ablation) | conv-large BNN · CIFAR10 eps=8/255 | natural test accuracy: 53.91% -> 40.80% | Hurt |
| use tanh gradient cancelling instead of hard tanh (ablation) | conv-large BNN adversarial training · CIFAR10 eps=8/255 | verifiable accuracy: 11.13% -> 14.70% | Helped |
| use adaptive gradient cancelling instead of tanh (ablation) | conv-large BNN · CIFAR10 eps=8/255 | verifiable accuracy: 14.70% -> 20.08% | Helped |
| add verifier-generated adversarial examples in last ten epochs (ablation) | conv-large BNN adaptive · CIFAR10 eps=8/255 | verifiable accuracy: 20.08% -> 22.55% | Helped |
| use tanh instead of hard tanh gradient in PGD attack (ablation) | conv-small network · CIFAR10 | attack success rate: 19.82% -> 23.25% | Helped |
| use BNN with EEV instead of exact verification of real-valued nets | conv-small/large · CIFAR10 eps=2/255 | verifiable accuracy: 45.93% -> 26.13% (small) | Hurt |
Closest papers by meaning
- Verifying Properties of Binary Neural Networks Using Sparse Polynomial Optimization (ICLR 2025 · similarity 0.90)
- VNN: Verification-Friendly Neural Networks with Hard Robustness Guarantees (ICML 2024 · similarity 0.87)
- Certified but Private: Scalable Zero-Knowledge Proofs for the Formal Verification of Neural Networks (NeurIPS 2026 · similarity 0.87)
- Tightening Robustness Verification of MaxPool-based Neural Networks via Minimizing the Over-Approximation Zone (CVPR 2025 · similarity 0.86)
- Training Verification-Friendly Neural Networks via Neuron Behavior Consistency (AAAI 2025 · similarity 0.86)
- Towards General Robustness Verification of MaxPool-based Convolutional Neural Networks via Tightening Linear Approximation (CVPR 2024 · similarity 0.86)
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