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Fast and Complete: Enabling Complete Neural Network Verification with Rapid and Massively Parallel Incomplete Verifiers

ICLR 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: Semidefinite relaxations for verification · 65 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace LP bounding with optimized LiRPA and batch-parallel splitsBaB neural network verification · CIFAR-10 Base Easytime(s): 15.68 -> 11.86Helped
replace LP bounding with optimized LiRPA and batch-parallel splitsBaB neural network verification · CIFAR-10 Base Mediumtime(s): 51.88 -> 42.04Helped
replace LP bounding with optimized LiRPA and batch-parallel splitsBaB neural network verification · CIFAR-10 Base Hardtime(s): 627.96 -> 633.85Hurt
replace LP bounding with optimized LiRPA and batch-parallel splitsBaB neural network verification · CIFAR-10 Widetime(s): 510.55 -> 375.23Helped
replace LP bounding with optimized LiRPA and batch-parallel splitsBaB neural network verification · CIFAR-10 Deeptime(s): 230.06 -> 81.55Helped
add batch splits without optimizing LiRPA bounds (ablation)BaBSR baseline · CIFAR-10 Base Easytime(s): 522.48 -> 587.10Hurt
optimize LiRPA bounds (ablation)LiRPA-based BaB verifier without batch splits · CIFAR-10 Base Easytime(s): 522.48 -> 94.08Helped
add batch splits to optimized LiRPA (ablation)Optimized LiRPA verifier · CIFAR-10 Base Easytime(s): 94.08 -> 11.86Helped
add optimized LiRPA bounds and batch splits together (ablation)BaBSR baseline · CIFAR-10 Base Hardtime(s): 2875.16 -> 633.85Helped
rely on LiRPA without LP feasibility checksBaB verifier · complete NN verificationcompletenessHurt

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