mlsanityData to 7 Oct 2026

Knowledge Graph Completion with Mixed Geometry Tensor Factorization

arXiv 2504.02589 ↗First posted 3 Apr 2025cs.LG cs.AI cs.IRcited by 3

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Abstract (arXiv)

In this paper, we propose a new geometric approach for knowledge graph completion via low rank tensor approximation. We augment a pretrained and well-established Euclidean model based on a Tucker tensor decomposition with a novel hyperbolic interaction term. This correction enables more nuanced capturing of distributional properties in data better aligned with real-world knowledge graphs. By combining two geometries together, our approach improves expressivity of the resulting model achieving new state-of-the-art link prediction accuracy with a significantly lower number of parameters compared to the previous Euclidean and hyperbolic models.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 27 of its 55 references that are in the map. First posted on arXiv 3 Apr 2025.

Builds on

27 of 55 references.

References · 27

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  2. 2020Retrieval-Augmented Generation for Knowledge-Intensive NLP Taskscited by 9,160
  3. 2017Modeling Relational Data with Graph Convolutional Networkscited by 1,684
  4. 2014Embedding Entities and Relations for Learning and Inference in Knowledge Basescited by 929
  5. 2016Complex Embeddings for Simple Link Predictioncited by 897
  6. 2019RotatE: Knowledge Graph Embedding by Relational Rotation in Complex Spacecited by 893
  7. 2018Representation Learning on Graphs with Jumping Knowledge Networkscited by 875
  8. 2017Convolutional 2D Knowledge Graph Embeddingscited by 729
  9. 2017Poincar'e Embeddings for Learning Hierarchical Representationscited by 674
  10. 2023Unifying Large Language Models and Knowledge Graphs: A Roadmapcited by 663
  11. 2020Knowledge Graphscited by 619
  12. 2018SimplE Embedding for Link Prediction in Knowledge Graphscited by 195
15 more
  1. 2020Low-Dimensional Hyperbolic Knowledge Graph Embeddingscited by 195
  2. 2020A Survey on Knowledge Graph-Based Recommender Systemscited by 170
  3. 2018Canonical Tensor Decomposition for Knowledge Base Completioncited by 150
  4. 2017A Novel Embedding Model for Knowledge Base Completion Based on Convolutional Neural Networkcited by 143
  5. 2021Hyperbolic Deep Neural Networks: A Surveycited by 138
  6. 2019Learning Attention-based Embeddings for Relation Prediction in Knowledge Graphscited by 125
  7. 2019Knowledge Graph Convolutional Networks for Recommender Systemscited by 121
  8. 2022Hyperbolic Vision Transformers: Combining Improvements in Metric Learningcited by 109
  9. 2021Relation Prediction as an Auxiliary Training Objective for Improving Multi-Relational Graph Representationscited by 37
  10. 2015Ricci Curvature of the Internet Topologycited by 22
  11. 2022Geometry Interaction Knowledge Graph Embeddingscited by 18
  12. 2022Quality Metrics in Recommender Systems: Do We Calculate Metrics Consistently?cited by 17
  13. 2020Performance of Hyperbolic Geometry Models on Top-N Recommendation Taskscited by 13
  14. 2019Learning Feature Interactions with Lorentzian Factorization Machinecited by 8
  15. 2022MEKER: Memory Efficient Knowledge Embedding Representation for Link Prediction and Question Answeringcited by 4

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 2; 2026: 1.

3 papers.

  1. 2025GGBall: Graph Generative Model on Poincar'e Ballcited by 3
  2. 2025Leveraging Geometric Insights in Hyperbolic Triplet Loss for Improved Recommendationscited by 0
  3. 2026PAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM Retrievalcited by 0