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Knowledge Association with Hyperbolic Knowledge Graph Embeddings

arXiv 2010.02162 ↗First posted 5 Oct 2020cs.CL cs.AI cs.LGcited by 31

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Abstract (arXiv)

Capturing associations for knowledge graphs (KGs) through entity alignment, entity type inference and other related tasks benefits NLP applications with comprehensive knowledge representations. Recent related methods built on Euclidean embeddings are challenged by the hierarchical structures and different scales of KGs. They also depend on high embedding dimensions to realize enough expressiveness. Differently, we explore with low-dimensional hyperbolic embeddings for knowledge association. We propose a hyperbolic relational graph neural network for KG embedding and capture knowledge associations with a hyperbolic transformation. Extensive experiments on entity alignment and type inference demonstrate the effectiveness and efficiency of our method.

Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Oct 2020.

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Citing papers per year: 2021: 7; 2022: 11; 2023: 7; 2024: 4; 2025: 2.

31 papers.

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  1. 2021A Hyperbolic-to-Hyperbolic Graph Convolutional Networkcited by 53
  2. 2022Knowledge Graph Embedding: A Survey from the Perspective of Representation Spacescited by 41
  3. 2022Hyperbolic Graph Neural Networks: A Review of Methods and Applicationscited by 40
  4. 2021Probabilistic Box Embeddings for Uncertain Knowledge Graph Reasoningcited by 22
  5. 2023Hyperbolic Representation Learning: Revisiting and Advancingcited by 21
  6. 2021Knowing the No-match: Entity Alignment with Dangling Casescited by 20
  7. 2022ClusterEA: Scalable Entity Alignment with Stochastic Training and Normalized Mini-batch Similaritiescited by 20
  8. 2023Unsupervised Entity Alignment for Temporal Knowledge Graphscited by 19
  9. 2022LightEA: A Scalable, Robust, and Interpretable Entity Alignment Framework via Three-view Label Propagationcited by 18
  10. 2021HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learningcited by 14
  11. 2022Dual-Geometric Space Embedding Model for Two-View Knowledge Graphscited by 12
  12. 2021Hyperbolic Geometry is Not Necessary: Lightweight Euclidean-Based Models for Low-Dimensional Knowledge Graph Embeddingscited by 10
19 more
  1. 2022A Rotated Hyperbolic Wrapped Normal Distribution for Hierarchical Representation Learningcited by 10
  2. 2021Are Negative Samples Necessary in Entity Alignment? An Approach with High Performance, Scalability and Robustnesscited by 9
  3. 2023Geometric Relational Embeddings: A Surveycited by 8
  4. 2022DHGE: Dual-View Hyper-Relational Knowledge Graph Embedding for Link Prediction and Entity Typingcited by 7
  5. 2024Start from Zero: Triple Set Prediction for Automatic Knowledge Graph Completioncited by 7
  6. 2023Joint Pre-training and Local Re-training: Transferable Representation Learning on Multi-source Knowledge Graphscited by 5
  7. 2022Dangling-Aware Entity Alignment with Mixed High-Order Proximitiescited by 4
  8. 2022High-quality Task Division for Large-scale Entity Alignmentcited by 4
  9. 2023Improving Knowledge Graph Entity Alignment with Graph Augmentationcited by 3
  10. 2022Bending the Future: Autoregressive Modeling of Temporal Knowledge Graphs in Curvature-Variable Hyperbolic Spacescited by 2
  11. 2023Universal Multi-modal Entity Alignment via Iteratively Fusing Modality Similarity Pathscited by 2
  12. 2024Knowledge Graph Embeddings: A Comprehensive Survey on Capturing Relation Propertiescited by 2
  13. 2024Unifying Dual-Space Embedding for Entity Alignment via Contrastive Learningcited by 2
  14. 2021Unit Ball Model for Embedding Hierarchical Structures in the Complex Hyperbolic Spacecited by 1
  15. 2022Entity Alignment For Knowledge Graphs: Progress, Challenges, and Empirical Studiescited by 1
  16. 2023Lorentz Equivariant Model for Knowledge-Enhanced Hyperbolic Collaborative Filteringcited by 1
  17. 2025EHGCN: Hierarchical Euclidean-Hyperbolic Fusion via Motion-Aware GCN for Hybrid Event Stream Perceptioncited by 1
  18. 2024From Semantics to Hierarchy: A Hybrid Euclidean-Tangent-Hyperbolic Space Model for Temporal Knowledge Graph Reasoningcited by 0
  19. 2025Unsupervised Entity Alignment Based on Personalized Discriminative Rooted Treecited by 0