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Research map / Learning theory and algorithms / Combinatorial and search optimization

A Unified View of Piecewise Linear Neural Network Verification

NeurIPS 2018 · Learning theory and algorithms › Combinatorial and search optimization · approach: Differentiable and symbolic reasoning · 133 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use BaBSB instead of ReluplexPL-NN verification · ACASsuccess rate: 79.26% -> 98.40%Helped
Add smart branching (ablation)BaB · ACASruntimeHelped
Branch on input features rather than ReLU activations (ablation)BaB · ACASruntimeNo clear effect
Rebuild the convex approximation and recompute bounds at each branch (ablation)BaB-relusplit · ACASruntimeHelped
Use Planet-relaxation bounds instead of interval bounds (ablation)MIP verification · ACASruntimeHelped
Use the slightly weaker symmetric big-M encoding (ablation)Planet-feasible · ACASruntimeHurt
Optimize the network output and stop when a negative feasible value is found, rather than solve feasibility alone (ablation)MIPplanet · CollisionDetectionverification accuracyHelped

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