Knowledge Graph Completion with Mixed Geometry Tensor Factorization

Fuente: arXiv
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Autori principali: Yusupov, Viacheslav, Rakhuba, Maxim, Frolov, Evgeny
Natura: Preprint
Pubblicazione: 2025
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author Yusupov, Viacheslav
Rakhuba, Maxim
Frolov, Evgeny
author_facet Yusupov, Viacheslav
Rakhuba, Maxim
Frolov, Evgeny
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_02589
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Knowledge Graph Completion with Mixed Geometry Tensor Factorization
Yusupov, Viacheslav
Rakhuba, Maxim
Frolov, Evgeny
Machine Learning
Artificial Intelligence
Information Retrieval
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.
title Knowledge Graph Completion with Mixed Geometry Tensor Factorization
topic Machine Learning
Artificial Intelligence
Information Retrieval
url https://arxiv.org/abs/2504.02589