Link Prediction with Relational Hypergraphs

27 Sept 2024 (modified: 05 Feb 2025)Submitted to ICLR 2025EveryoneRevisionsBibTeXCC BY 4.0
Keywords: link prediction, relational hypergraphs, expressivity study
TL;DR: We investigate the expressive power of existing graph neural networks and propose new framework for relational hypergraph
Abstract: Link prediction with knowledge graphs has been thoroughly studied in graph machine learning, leading to a rich landscape of graph neural network architectures with successful applications. Nonetheless, it remains challenging to transfer the success of these architectures to link prediction with *relational hypergraphs*, where the task is over *$k$-ary relations*, substantially harder than link prediction on knowledge graphs with binary relations only. In this paper, we propose a framework for link prediction with relational hypergraphs, empowering applications of graph neural networks on *fully relational* structures. Theoretically, we conduct a thorough analysis of the expressive power of the resulting model architectures via corresponding relational Weisfeiler-Leman algorithms and also via logical expressiveness. Empirically, we validate the power of the proposed model architectures on various relational hypergraph benchmarks. The resulting model architectures substantially outperform every baseline for inductive link prediction, and also lead to state-of-the-art results for transductive link prediction.
Supplementary Material: zip
Primary Area: learning on graphs and other geometries & topologies
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Submission Number: 12037
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