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Multi-relational Poincar'e Graph Embeddings

arXiv 1905.09791 ↗First posted 23 May 2019cs.LG stat.MLcited by 126

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Abstract (arXiv)

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.

Key facts. Cited by 126 papers in the map (data through 14 Oct 2026). First posted on arXiv 23 May 2019.

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 37; 2022: 29; 2023: 21; 2024: 10; 2025: 18; 2026: 11.

126 papers.

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  1. 2021Hyperbolic Deep Neural Networks: A Surveycited by 139
  2. 2021Fully Hyperbolic Neural Networkscited by 108
  3. 2022A Survey of Knowledge Graph Reasoning on Graph Types: Static, Dynamic, and Multimodalcited by 106
  4. 2021ConE: Cone Embeddings for Multi-Hop Reasoning over Knowledge Graphscited by 78
  5. 2023Hyperbolic Deep Learning in Computer Vision: A Surveycited by 73
  6. 2021NodePiece: Compositional and Parameter-Efficient Representations of Large Knowledge Graphscited by 72
  7. 2021Lorentzian Graph Convolutional Networkscited by 68
  8. 2022Hyperbolic Contrastive Learning for Visual Representations beyond Objectscited by 61
  9. 2021A Hyperbolic-to-Hyperbolic Graph Convolutional Networkcited by 53
  10. 2021Hyperbolic Variational Graph Neural Network for Modeling Dynamic Graphscited by 50
  11. 2021HoroPCA: Hyperbolic Dimensionality Reduction via Horospherical Projectionscited by 47
  12. 2021Hyperbolic Busemann Learning with Ideal Prototypescited by 41
38 more
  1. 2022Knowledge Graph Embedding: A Survey from the Perspective of Representation Spacescited by 41
  2. 2022Hyperbolic Graph Neural Networks: A Review of Methods and Applicationscited by 40
  3. 2021Modeling Heterogeneous Hierarchies with Relation-specific Hyperbolic Conescited by 38
  4. 2021Pseudo-Riemannian Graph Convolutional Networkscited by 30
  5. 2021ACE-HGNN: Adaptive Curvature Exploration Hyperbolic Graph Neural Networkcited by 25
  6. 2023Poincar'e ResNetcited by 25
  7. 2021Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matricescited by 22
  8. 2022Ultrahyperbolic Knowledge Graph Embeddingscited by 20
  9. 2023UUKG: Unified Urban Knowledge Graph Dataset for Urban Spatiotemporal Predictioncited by 20
  10. 2021DisenKGAT: Knowledge Graph Embedding with Disentangled Graph Attention Networkcited by 19
  11. 2021BiQUE: Biquaternionic Embeddings of Knowledge Graphscited by 19
  12. 2022Geometry Interaction Knowledge Graph Embeddingscited by 18
  13. 2023Building Neural Networks on Matrix Manifolds: A Gyrovector Space Approachcited by 18
  14. 2025Graph-based Approaches and Functionalities in Retrieval-Augmented Generation: A Comprehensive Surveycited by 18
  15. 2021Convolutional Hypercomplex Embeddings for Link Predictioncited by 15
  16. 2023Link Prediction with Attention Applied on Multiple Knowledge Graph Embedding Modelscited by 15
  17. 2021HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learningcited by 14
  18. 2021Billion-scale Pre-trained E-commerce Product Knowledge Graph Modelcited by 13
  19. 2021Generalization Error Bound for Hyperbolic Ordinal Embeddingcited by 12
  20. 2021Hyperbolic Temporal Knowledge Graph Embeddings with Relational and Time Curvaturescited by 12
  21. 2022Dual-Geometric Space Embedding Model for Two-View Knowledge Graphscited by 12
  22. 2021Hyperbolic Geometry is Not Necessary: Lightweight Euclidean-Based Models for Low-Dimensional Knowledge Graph Embeddingscited by 10
  23. 2022CompoundE: Knowledge Graph Embedding with Translation, Rotation and Scaling Compound Operationscited by 10
  24. 2022KRACL: Contrastive Learning with Graph Context Modeling for Sparse Knowledge Graph Completioncited by 10
  25. 2023Event Temporal Relation Extraction with Bayesian Translational Modelcited by 10
  26. 2023Knowledge Graph Embedding: An Overviewcited by 10
  27. 2022GreenKGC: A Lightweight Knowledge Graph Completion Methodcited by 9
  28. 2021Self-attention Presents Low-dimensional Knowledge Graph Embeddings for Link Predictioncited by 8
  29. 2022Swift and Sure: Hardness-aware Contrastive Learning for Low-dimensional Knowledge Graph Embeddingscited by 8
  30. 2022Towards Quantum Graph Neural Networks: An Ego-Graph Learning Approachcited by 8
  31. 2022Duality-Induced Regularizer for Semantic Matching Knowledge Graph Embeddingscited by 7
  32. 2022Neuro-Symbolic Learning: Principles and Applications in Ophthalmologycited by 7
  33. 2022Weisfeiler and Leman go Hyperbolic: Learning Distance Preserving Node Representationscited by 7
  34. 2023Deep Active Alignment of Knowledge Graph Entities and Schematacited by 7
  35. 2021Switch Spaces: Learning Product Spaces with Sparse Gatingcited by 6
  36. 2021Survey on English Entity Linking on Wikidatacited by 6
  37. 2022STaR: Knowledge Graph Embedding by Scaling, Translation and Rotationcited by 6
  38. 2022Mitigating Relational Bias on Knowledge Graphscited by 6

50 most cited of 126 All 126 (JSON)