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On the Equivalence of Holographic and Complex Embeddings for Link Prediction

arXiv 1702.05563 ↗First posted 18 Feb 2017cs.LGcited by 13

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Abstract (arXiv)

We show the equivalence of two state-of-the-art link prediction/knowledge graph completion methods: Nickel et al's holographic embedding and Trouillon et al.'s complex embedding. We first consider a spectral version of the holographic embedding, exploiting the frequency domain in the Fourier transform for efficient computation. The analysis of the resulting method reveals that it can be viewed as an instance of the complex embedding with certain constraints cast on the initial vectors upon training. Conversely, any complex embedding can be converted to an equivalent holographic embedding.

Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Feb 2017.

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Citing papers per year: 2021: 4; 2022: 3; 2023: 2; 2024: 4.

13 papers.

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  1. 2022Knowledge Graph Embedding: A Survey from the Perspective of Representation Spacescited by 41
  2. 2021Relation-aware Graph Attention Model With Adaptive Self-adversarial Trainingcited by 12
  3. 2022ExpressivE: A Spatio-Functional Embedding For Knowledge Graph Completioncited by 12
  4. 2021Bilinear Scoring Function Search for Knowledge Graph Learningcited by 11
  5. 2021Knowledge Sheaves: A Sheaf-Theoretic Framework for Knowledge Graph Embeddingcited by 9
  6. 2022Complex Hyperbolic Knowledge Graph Embeddings with Fast Fourier Transformcited by 5
  7. 2021Prediction of Adverse Biological Effects of Chemicals Using Knowledge Graph Embeddingscited by 2
  8. 2024Multi-label Learning with Random Circular Vectorscited by 1
  9. 2024Unstructured Text Enhanced Open-domain Dialogue System: A Systematic Surveycited by 1
  10. 2023Learning Decorrelated Representations Efficiently Using Fast Fourier Transformcited by 0
  11. 2023Location Sensitive Embedding for Knowledge Graph Reasoningcited by 0
  12. 2024Sharing Parameter by Conjugation for Knowledge Graph Embeddings in Complex Spacecited by 0
1 more
  1. 2024On The Expressive Power of Knowledge Graph Embedding Methodscited by 0