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Research map / Graph learning / Graph algorithms and clustering

Accelerating Primal Solution Findings for Mixed Integer Programs Based on Solution Prediction

AAAI 2020 · Graph learning › Graph algorithms and clustering · approach: Neural combinatorial optimization on graphs · 72 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GCN predictions to add a local branching cut in approximate solvingSCIP · Eight MIP problem types; averageprimal gap (%): 1.151 -> 0.316Helped
Use GCN predictions to add a local branching cut in approximate solvingSCIP · MKprimal gap (%): 0.000 -> 0.003Hurt
Use GCN predictions to guide an exact root branchSCIP · Seven of eight MIP typesoptimality gap (%)Helped
Use GCN predictions to guide an exact root branchSCIP · TSPoptimality gap (%): 12.13 -> 12.84Hurt
Use a tripartite-graph GCN instead of XGBoost for prediction with basic featuresBinary-variable solution prediction · Eight MIP problem types; averageaverage precision: 0.415 -> 0.537Helped
Use a tripartite-graph GCN instead of XGBoost for prediction with all featuresBinary-variable solution prediction · Eight MIP problem types; averageaverage precision: 0.698 -> 0.707Helped
Train on small-scale instances and test on large-scale instancesGCN solution prediction · Eight MIP problem types; averageaverage precision: 0.621 -> 0.593Hurt
Train on small-scale instances and use the resulting predictions for approximate solvingSCIP with GCN-A · Eight MIP problem types; averageprimal gap (%): GCN-A 0.338; GCNG-A 1.236Mixed

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