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Knowledge Graph Completion with Mixed Geometry Tensor Factorization

2025-04-03 · Viacheslav Yusupov, Maxim Rakhuba, Evgeny Frolov

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.

📄 PDF Abstract BibTeX arXiv:2504.02589

Code (1)

hse-cs/migtf 공식 구현 pytorch

Tasks

Knowledge Graph CompletionKnowledge GraphsLink PredictionTensor DecompositionWorld Knowledge

Methods 이 논문이 사용한 방법론

TuckER TuckER

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