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Hyperbolic Hypergraph Neural Networks for Multi-Relational Knowledge Hypergraph Representation

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arxiv 2412.12158 v1 pith:UDMOXNLI submitted 2024-12-11 cs.LG cs.AI

Hyperbolic Hypergraph Neural Networks for Multi-Relational Knowledge Hypergraph Representation

classification cs.LG cs.AI
keywords hyperedgesknowledgeh2gnnhyperbolichypergraphapproachesentitieshypergraphs
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Knowledge hypergraphs generalize knowledge graphs using hyperedges to connect multiple entities and depict complicated relations. Existing methods either transform hyperedges into an easier-to-handle set of binary relations or view hyperedges as isolated and ignore their adjacencies. Both approaches have information loss and may potentially lead to the creation of sub-optimal models. To fix these issues, we propose the Hyperbolic Hypergraph Neural Network (H2GNN), whose essential component is the hyper-star message passing, a novel scheme motivated by a lossless expansion of hyperedges into hierarchies. It implements a direct embedding that consciously incorporates adjacent entities, hyper-relations, and entity position-aware information. As the name suggests, H2GNN operates in the hyperbolic space, which is more adept at capturing the tree-like hierarchy. We compare H2GNN with 15 baselines on knowledge hypergraphs, and it outperforms state-of-the-art approaches in both node classification and link prediction tasks.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Knowledge Graphs Meet Graph Neural Networks: A Comprehensive Survey

    cs.LG 2026-05 conditional novelty 4.0

    A two-level taxonomy (KG pipeline stages × GNN architectures) systematically reviews GNN methods for knowledge-graph construction, embedding, reasoning, and applications.

  2. Representing Higher-Order Networks: A Survey of Graph-Based Frameworks

    cs.SI 2026-03 unverdicted novelty 4.0

    A comprehensive survey of graph-based frameworks for higher-order networks, covering foundational concepts, extensions, and newly introduced formalisms with emphasis on structural principles and applications.

  3. Representing Higher-Order Networks: A Survey of Graph-Based Frameworks

    cs.SI 2026-03 conditional novelty 4.0

    A survey organizing higher-order network formalisms into four families with a master comparison table, plus ~17 new superhypergraph-style definitions whose only supporting theorems are well-definedness checks.

  4. Representing Higher-Order Networks: A Survey of Graph-Based Frameworks

    cs.SI 2026-03 unverdicted novelty 2.0

    A comprehensive survey of graph-based formalisms for higher-order networks including multiway, hierarchical, temporal, multilayer, recursive, and tensor-based models.