Research map / Learning theory and algorithms / Combinatorial and search optimization
Learning Branching Heuristics for Propositional Model Counting
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace SharpSAT's VSADS branching heuristic with a problem-family-trained GNN policy | SharpSAT · I.I.D. test instances across the reported problem families | branching steps: 220 -> 195; 466 -> 261; 52 -> 24; 86 -> 30; 370 -> 184; 353 -> 198; 338 -> 206; 195 -> 66; 328 -> 205; 412 -> 266 | Helped |
| Apply the learned branching heuristic without further training on larger instances | NeuroSharp · Grid planning [10,12] | branching steps: 93,093 -> 1,320 | Helped |
| Apply the learned branching heuristic without further training on larger instances | NeuroSharp · Cellular automaton [35,192,128] | branching steps: 21,166 -> 1,668 | Helped |
| Add the time-step feature to the policy input (ablation) | NeuroSharp on grid planning · Grid planning [10,12] | branching steps | Helped |
| Use only the time-step feature, without computing variable embeddings (ablation) | NeuroSharp on grid planning · Grid planning [10,12] | branching steps | Helped |
| Add VSADS variable scores as model features (ablation) | NeuroSharp · Cellular automaton [49,256,200] | branching steps | Hurt |
| Add VSADS variable scores as model features (ablation) | NeuroSharp · Grid planning [10,12] | branching steps | Hurt |
| Increase GNN message-passing iterations beyond 2 (ablation) | NeuroSharp · I.I.D. generalization | branching steps | Hurt |
| Change among the tested GNN architectures (ablation) | NeuroSharp · I.I.D. generalization | branching steps | No clear effect |
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