Research map / Graph learning / Graph algorithms and clustering
Exact Combinatorial Optimization with Graph Convolutional Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use GCNN branching instead of the strongest reported baseline | branch-and-bound solver · Set Covering Hard | solving time (s): 222.54 -> 114.16 | Helped |
| use GCNN branching instead of the strongest reported baseline | branch-and-bound solver · Combinatorial Auction Hard | solving time (s): 582.38 -> 563.36 | Helped |
| use GCNN branching instead of the strongest reported baseline | branch-and-bound solver · Capacitated Facility Location Hard | solving time (s): 2045.61 -> 2024.37 | Helped |
| use GCNN branching instead of the strongest reported baseline | branch-and-bound solver · Maximum Independent Set Hard | solving time (s): 1677.02 -> 1489.91 | Helped |
| use GCNN branching instead of the strongest reported baseline | branch-and-bound solver · Set Covering Easy | solving time (s): 1.79 -> 1.85 | Hurt |
| replace sum convolutions with mean convolutions (ablation) | GCNN on Set Covering · Set Covering Hard | solving time (s): 1489.9 -> 1593.0 | Hurt |
| replace sum convolutions with mean convolutions (ablation) | GCNN on Set Covering · Set Covering Hard | nodes: 56348 -> 62227 | Hurt |
| remove prenorm layers from sum convolutions (ablation) | GCNN on Set Covering · Set Covering Hard | solving time (s): 1489.9 -> 1511.7 | Hurt |
| remove prenorm layers from sum convolutions (ablation) | GCNN on Set Covering · Set Covering Hard | nodes: 56348 -> 57864 | Hurt |
Closest papers by meaning
- Combinatorial Optimization with Graph Convolutional Networks and Guided Tree Search (NeurIPS 2018 · similarity 0.93)
- Towards General Algorithm Discovery for Combinatorial Optimization: Learning Symbolic Branching Policy from Bipartite Graph (ICML 2024 · similarity 0.89)
- Are Graph Neural Networks Optimal Approximation Algorithms? (NeurIPS 2024 · similarity 0.89)
- Sample Complexity of Algorithm Selection Using Neural Networks and Its Applications to Branch-and-Cut (NeurIPS 2024 · similarity 0.88)
- Rethinking the Capacity of Graph Neural Networks for Branching Strategy (NeurIPS 2024 · similarity 0.88)
- GOAL: A Generalist Combinatorial Optimization Agent Learner (ICLR 2025 · similarity 0.88)
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