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Cutting to the Core of Pseudo-Boolean Optimization: Combining Core-Guided Search with Cutting Planes Reasoning

AAAI 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: SAT and model counting solvers · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add hybrid core-guided and linear searchROUNDINGSAT · PB16instances solved to optimality: 853 -> 968Helped
Add hybrid core-guided and linear searchROUNDINGSAT · CRAFTinstances solved to optimality: 309 -> 639Helped
Add hybrid core-guided and linear searchROUNDINGSAT · KNAPinstances solved to optimality: 341 -> 306Hurt
Add non-clausal cardinality cores rather than clausal cores (ablation)HYBRID · PB16instances solved to optimality: 937 -> 968Helped
Add non-clausal cardinality cores rather than clausal cores (ablation)HYBRID · CRAFTinstances solved to optimality: 618 -> 639Helped
Use lazy rather than eager objective reformulation (ablation)HYBRID · KNAPinstances solved to optimality: 186 -> 306Helped
Use lazy rather than eager objective reformulation (ablation)HYBRID · MIPinstances solved to optimality: 70 -> 78Helped
Combine core-guided search with repeated linear-search phases (ablation)ROUNDINGSAT · KNAPinstances solved to optimality: 341 -> 306Hurt
Use independent-core extraction (ablation)HYBRID with stratification · CRAFTinstances solved to optimalityHurt
Use independent-core extraction (ablation)HYBRID with stratification · MIP and KNAPinstances solved to optimalityHelped
Set the phase to the incumbent solution during linear search (ablation)HYBRID · PB optimization benchmarkssolver performanceNo clear effect

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