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Knowledge Graph Completion with Mixed Geometry Tensor Factorization

2025-04-03Code Available0· sign in to hype

Viacheslav Yusupov, Maxim Rakhuba, Evgeny Frolov

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Abstract

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.

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