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

Learning Branching Heuristics for Propositional Model Counting

AAAI 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: SAT and model counting solvers · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace SharpSAT's VSADS branching heuristic with a problem-family-trained GNN policySharpSAT · I.I.D. test instances across the reported problem familiesbranching steps: 220 -> 195; 466 -> 261; 52 -> 24; 86 -> 30; 370 -> 184; 353 -> 198; 338 -> 206; 195 -> 66; 328 -> 205; 412 -> 266Helped
Apply the learned branching heuristic without further training on larger instancesNeuroSharp · Grid planning [10,12]branching steps: 93,093 -> 1,320Helped
Apply the learned branching heuristic without further training on larger instancesNeuroSharp · Cellular automaton [35,192,128]branching steps: 21,166 -> 1,668Helped
Add the time-step feature to the policy input (ablation)NeuroSharp on grid planning · Grid planning [10,12]branching stepsHelped
Use only the time-step feature, without computing variable embeddings (ablation)NeuroSharp on grid planning · Grid planning [10,12]branching stepsHelped
Add VSADS variable scores as model features (ablation)NeuroSharp · Cellular automaton [49,256,200]branching stepsHurt
Add VSADS variable scores as model features (ablation)NeuroSharp · Grid planning [10,12]branching stepsHurt
Increase GNN message-passing iterations beyond 2 (ablation)NeuroSharp · I.I.D. generalizationbranching stepsHurt
Change among the tested GNN architectures (ablation)NeuroSharp · I.I.D. generalizationbranching stepsNo clear effect

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