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Neural Network Verification on Small-attention experiments

0.03Time per Trial (s)Vertex-CROWN
-10.688861.6631134.015206.3669May 8, 2026

Evaluation results

MethodLinks
Vertex-CROWNTreatment=Solves mins∈[ℓ,u] c⊤softmax(s) exactly, Exact?=Yes, Corr.?=No2026.050.03
Wei-LSETreatment=Convex softmax bounds, then contracted with c, Exact?=No, Corr.?=No2026.050.06
CROWN / auto_LiRPATreatment=Affine relaxation before contraction with c, Exact?=No, Corr.?=Partial†2026.050.1
α-CROWNTreatment=Optimized relaxation slopes over full graph, Exact?=No, Corr.?=Partial‡2026.051.5
GaLileo-styleTreatment=Linear softmax relaxation, Exact?=No, Corr.?=No2026.051.8
ABCrown-BaBTreatment=Branch-and-bound with verifier at nodes, Exact?=No§, Corr.?=Yes2026.05268