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Graph Matching Networks for Learning the Similarity of Graph Structured Objects

ICML 2019 · Graph learning › Graph algorithms and clustering · approach: Deep learning for graph matching · 298 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add cross-graph attention-based matching to graph message passingGNN graph similarity model · Synthetic graph edit-distance learningpair AUC: 88.8 -> 95.0; 92.1 -> 96.6; 95.9 -> 97.4; 88.5 -> 93.8Helped
Add cross-graph attention-based matching (ablation)GNN graph similarity model · Function Similarity Searchpair AUC: 97.71 -> 99.28Helped
Add cross-graph attention-based matching (ablation)GNN graph similarity model · COIL-DELpair AUC: 98.58 -> 98.97Helped
Use Siamese fusion of graph vectors instead of a prespecified similarity metric (ablation)GNN graph embedding model · Function Similarity Searchpair AUC: 97.71 -> 97.76No clear effect
Use Siamese fusion of graph vectors instead of a prespecified similarity metric (ablation)GNN graph embedding model · COIL-DELpair AUC: 98.58 -> 98.76Helped
Increase the number of propagation steps (ablation)GNN and GMN · Synthetic graph edit-distance learningpair AUCHelped
Increase the number of propagation steps (ablation)GNN and GMN · Function Similarity Searchpair AUCHelped
Use 0 propagation steps, removing graph-structure propagation (ablation)GNN or GMN · Function Similarity Searchpair AUCHurt
Replace GNN message passing with GCN graph convolutions (ablation)Graph similarity model · Function Similarity Searchpair AUC: 97.71 -> 96.67Hurt
Replace GNN message passing with GCN graph convolutions (ablation)Graph similarity model · COIL-DELpair AUC: 98.58 -> 94.80Hurt
Use pair training instead of triplet training (ablation)GSL model · Synthetic graph edit-distance learningperformanceHelped
Use triplet training instead of pair training (ablation)GSL model · Function Similarity SearchperformanceHelped

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