Papers › Multi-relational Poincaré Graph Embeddings
Multi-relational Poincaré Graph Embeddings
Ivana Balažević, Carl Allen, Timothy Hospedales
Hyperbolic embeddings have recently gained attention in machine learning due to their ability to represent hierarchical data more accurately and succinctly than their Euclidean analogues. However, multi-relational knowledge graphs often exhibit multiple simultaneous hierarchies, which current hyperbolic models do not capture. To address this, we propose a model that embeds multi-relational graph data in the Poincar\'e ball model of hyperbolic space. Our Multi-Relational Poincar\'e model (MuRP) learns relation-specific parameters to transform entity embeddings by M\"obius matrix-vector multiplication and M\"obius addition. Experiments on the hierarchical WN18RR knowledge graph show that our Poincar\'e embeddings outperform their Euclidean counterpart and existing embedding methods on the link prediction task, particularly at lower dimensionality.
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Tasks
Results from the paper archive 2025-07-28
| Task | Dataset | Model | Metric | Value | Rank at snapshot | Leaderboard | Report |
|---|---|---|---|---|---|---|---|
| Link Prediction | FB15k-237 | MuRP | Hits@1 | 0.245 | #42 of 75 | Archive leaderboard | report |
| Link Prediction | FB15k-237 | MuRP | Hits@10 | 0.521 | #42 of 75 | Archive leaderboard | report |
| Link Prediction | FB15k-237 | MuRP | Hits@3 | 0.370 | #42 of 75 | Archive leaderboard | report |
| Link Prediction | FB15k-237 | MuRP | MRR | 0.336 | #42 of 75 | Archive leaderboard | report |
| Link Prediction | WN18RR | MuRP | Hits@1 | 0.440 | #41 of 75 | Archive leaderboard | report |
| Link Prediction | WN18RR | MuRP | Hits@10 | 0.566 | #41 of 75 | Archive leaderboard | report |
| Link Prediction | WN18RR | MuRP | Hits@3 | 0.495 | #41 of 75 | Archive leaderboard | report |
| Link Prediction | WN18RR | MuRP | MRR | 0.481 | #41 of 75 | Archive leaderboard | report |
Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.
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