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Summary of Embedding Knowledge Graphs in Degenerate Clifford Algebras, by Louis Mozart Kamdem Teyou et al.


Embedding Knowledge Graphs in Degenerate Clifford Algebras

by Louis Mozart Kamdem Teyou, Caglar Demir, Axel-Cyrille Ngonga Ngomo

First submitted to arxiv on: 6 Feb 2024

Categories

  • Main: Artificial Intelligence (cs.AI)
  • Secondary: Machine Learning (cs.LG)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper explores a new direction in knowledge graph embeddings by generalizing Clifford algebras, specifically considering nilpotent base vectors with a nilpotency index of two. The authors design two novel models for discovering the parameters p, q, and r, one using a greedy search and the other relying on neural networks to predict these values based on an input knowledge graph embedding. The paper evaluates their approach on seven benchmark datasets, showing that nilpotent vectors can improve capture embeddings. The results also suggest that the proposed method generalizes better than state-of-the-art approaches, achieving higher MRRs on validation data.
Low GrooveSquid.com (original content) Low Difficulty Summary
Imagine a new way to understand complex relationships between things. This paper introduces a fresh idea in computer science that uses special mathematical structures called Clifford algebras. The authors create two new methods to find the right combination of these structures to capture important patterns in big datasets. They test their approach on several benchmark tests and show that it’s better than existing methods at capturing important relationships between things.

Keywords

* Artificial intelligence  * Embedding  * Knowledge graph