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GNNs Meet Sequence Models Along the Shortest-Path: an Expressive Method for Link Prediction
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Proposes SP4LP, which runs a GNN once over the graph and then feeds the node embeddings along each pair's shortest path into a sequence model to get expressive, efficient link representations.
Problem
Pure GNNs assign identical representations to non-automorphic links whose endpoints are automorphic, and existing structural-feature methods are either costly (per-link subgraph extraction) or limited to heuristics such as common neighbors.
Approach
Combine GNN node embeddings with a sequence model (LSTM, Transformer, or injective sum) applied to the node embeddings along the shortest path between the two endpoints, computed as a preprocessing step, so that link representations capture multi-hop structure while message passing runs only once.
Key results
- SP4LP reports MRR of 41.08 on Citeseer versus 28.65 for the second-best method NCN under the HeaRT protocol.
- SP4LP ranks first in MRR on four of five datasets and reports MRR of 9.46 on ogbl-collab and 10.87 on Pubmed.
- On ogbl-ddi, SP4LP reaches MRR 15.00 and is weaker on Hits@20 (47.96) than GAT, SAGE and NCN; the authors attribute this to the lack of node features.
Surprising findings
- On ogbl-ddi, which has no node features, SP4LP underperforms several baselines on Hits@20, which the authors attribute to missing features.
Limitations
- Expressiveness advantage depends on shortest paths existing, so disconnected graphs may reduce it.
- Uses only one shortest path per pair (first returned by BFS/networkx) as the aggregation, which discards other shortest paths.
- Weaker on featureless ogbl-ddi, where node embeddings carry less information.
Experimental setup
Datasets: Cora Citeseer Pubmed ogbl-collab ogbl-ddi
Benchmarks: Cora Citeseer Pubmed ogbl-collab ogbl-ddi
Metrics: MRR Hits@10 Hits@20
Baselines: CN AA RA Katz Node2Vec MF MLP GCN GAT GraphSAGE GAE SEAL
Builds on: NCN NCNC SEAL NBFNet BUDDY
Closest papers by meaning
- Bridging Theory and Practice in Link Representation with Graph Neural Networks (NeurIPS 2025 · similarity 0.90)
- A Topological Perspective on Demystifying GNN-Based Link Prediction Performance (ICLR 2024 · similarity 0.90)
- Structural Information Enhanced Graph Representation for Link Prediction (AAAI 2024 · similarity 0.90)
- Revisiting Link Prediction: a data perspective (ICLR 2024 · similarity 0.89)
- Pure Message Passing Can Estimate Common Neighbor for Link Prediction (NeurIPS 2024 · similarity 0.89)
- Weisfeiler and Lehman Go Paths: Learning Topological Features via Path Complexes (AAAI 2024 · similarity 0.88)
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