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On The Expressive Power of Knowledge Graph Embedding Methods

arXiv 2407.16326 ↗First posted 23 Jul 2024cs.AI cs.LGcited by 0

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Abstract (arXiv)

Knowledge Graph Embedding (KGE) is a popular approach, which aims to represent entities and relations of a knowledge graph in latent spaces. Their representations are known as embeddings. To measure the plausibility of triplets, score functions are defined over embedding spaces. Despite wide dissemination of KGE in various tasks, KGE methods have limitations in reasoning abilities. In this paper we propose a mathematical framework to compare reasoning abilities of KGE methods. We show that STransE has a higher capability than TransComplEx, and then present new STransCoRe method, which improves the STransE by combining it with the TransCoRe insights, which can reduce the STransE space complexity.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 8 of its 14 references that are in the map. First posted on arXiv 23 Jul 2024.

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References · 8

  1. 2016Complex Embeddings for Simple Link Predictioncited by 897
  2. 2019RotatE: Knowledge Graph Embedding by Relational Rotation in Complex Spacecited by 893
  3. 2019TuckER: Tensor Factorization for Knowledge Graph Completioncited by 290
  4. 2018SimplE Embedding for Link Prediction in Knowledge Graphscited by 195
  5. 2015Holographic Embeddings of Knowledge Graphscited by 181
  6. 2019Learning Hierarchy-Aware Knowledge Graph Embeddings for Link Predictioncited by 133
  7. 2016STransE: a novel embedding model of entities and relationships in knowledge basescited by 17
  8. 2017On the Equivalence of Holographic and Complex Embeddings for Link Predictioncited by 13

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  1. 2022Reasoning Through Memorization: Nearest Neighbor Knowledge Graph Embeddings
  2. 2025Injecting Knowledge Graphs into Large Language Models
  3. 2022GammaE: Gamma Embeddings for Logical Queries on Knowledge Graphs
  4. 2024Conformalized Answer Set Prediction for Knowledge Graph Embedding
  5. 2022FLEX: Feature-Logic Embedding Framework for CompleX Knowledge Graph Reasoning
  6. 2023Knowledge Graphs are not Created Equal: Exploring the Properties and Structure of Real KGs
  7. 2023KG-GPT: A General Framework for Reasoning on Knowledge Graphs Using Large Language Models
  8. 2026Multi-hop Reasoning and Retrieval in Embedding Space: Leveraging Large Language Models with Knowledge