Research map / Graph learning / Graph algorithms and clustering
Accelerating Primal Solution Findings for Mixed Integer Programs Based on Solution Prediction
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use GCN predictions to add a local branching cut in approximate solving | SCIP · Eight MIP problem types; average | primal gap (%): 1.151 -> 0.316 | Helped |
| Use GCN predictions to add a local branching cut in approximate solving | SCIP · MK | primal gap (%): 0.000 -> 0.003 | Hurt |
| Use GCN predictions to guide an exact root branch | SCIP · Seven of eight MIP types | optimality gap (%) | Helped |
| Use GCN predictions to guide an exact root branch | SCIP · TSP | optimality gap (%): 12.13 -> 12.84 | Hurt |
| Use a tripartite-graph GCN instead of XGBoost for prediction with basic features | Binary-variable solution prediction · Eight MIP problem types; average | average precision: 0.415 -> 0.537 | Helped |
| Use a tripartite-graph GCN instead of XGBoost for prediction with all features | Binary-variable solution prediction · Eight MIP problem types; average | average precision: 0.698 -> 0.707 | Helped |
| Train on small-scale instances and test on large-scale instances | GCN solution prediction · Eight MIP problem types; average | average precision: 0.621 -> 0.593 | Hurt |
| Train on small-scale instances and use the resulting predictions for approximate solving | SCIP with GCN-A · Eight MIP problem types; average | primal gap (%): GCN-A 0.338; GCNG-A 1.236 | Mixed |
Closest papers by meaning
- Contrastive Predict-and-Search for Mixed Integer Linear Programs (ICML 2024 · similarity 0.89)
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- Generalization Guarantees for Learning Score-Based Branch-and-Cut Policies in Integer Programming (NeurIPS 2025 · similarity 0.88)
- BIPNN: Learning to Solve Binary Integer Programming via Hypergraph Neural Networks (NeurIPS 2025 · similarity 0.87)
- Fast and Interpretable Mixed-Integer Linear Program Solving by Learning Model Reduction (AAAI 2025 · similarity 0.87)
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