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Fast and Complete: Enabling Complete Neural Network Verification with Rapid and Massively Parallel Incomplete Verifiers
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace LP bounding with optimized LiRPA and batch-parallel splits | BaB neural network verification · CIFAR-10 Base Easy | time(s): 15.68 -> 11.86 | Helped |
| replace LP bounding with optimized LiRPA and batch-parallel splits | BaB neural network verification · CIFAR-10 Base Medium | time(s): 51.88 -> 42.04 | Helped |
| replace LP bounding with optimized LiRPA and batch-parallel splits | BaB neural network verification · CIFAR-10 Base Hard | time(s): 627.96 -> 633.85 | Hurt |
| replace LP bounding with optimized LiRPA and batch-parallel splits | BaB neural network verification · CIFAR-10 Wide | time(s): 510.55 -> 375.23 | Helped |
| replace LP bounding with optimized LiRPA and batch-parallel splits | BaB neural network verification · CIFAR-10 Deep | time(s): 230.06 -> 81.55 | Helped |
| add batch splits without optimizing LiRPA bounds (ablation) | BaBSR baseline · CIFAR-10 Base Easy | time(s): 522.48 -> 587.10 | Hurt |
| optimize LiRPA bounds (ablation) | LiRPA-based BaB verifier without batch splits · CIFAR-10 Base Easy | time(s): 522.48 -> 94.08 | Helped |
| add batch splits to optimized LiRPA (ablation) | Optimized LiRPA verifier · CIFAR-10 Base Easy | time(s): 94.08 -> 11.86 | Helped |
| add optimized LiRPA bounds and batch splits together (ablation) | BaBSR baseline · CIFAR-10 Base Hard | time(s): 2875.16 -> 633.85 | Helped |
| rely on LiRPA without LP feasibility checks | BaB verifier · complete NN verification | completeness | Hurt |
Closest papers by meaning
- Clip-and-Verify: Linear Constraint-Driven Domain Clipping for Accelerating Neural Network Verification (NeurIPS 2025 · similarity 0.89)
- SDP-CROWN: Efficient Bound Propagation for Neural Network Verification with Tightness of Semidefinite Programming (ICML 2025 · similarity 0.88)
- Scalable Neural Network Verification with Branch-and-bound Inferred Cutting Planes (NeurIPS 2024 · similarity 0.87)
- Dynamic Back-Substitution in Bound-Propagation-Based Neural Network Verification (AAAI 2025 · similarity 0.86)
- DeepBern-Nets: Taming the Complexity of Certifying Neural Networks Using Bernstein Polynomial Activations and Precise Bound Propagation (AAAI 2024 · similarity 0.85)
- Certified but Private: Scalable Zero-Knowledge Proofs for the Formal Verification of Neural Networks (NeurIPS 2026 · similarity 0.85)
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