Hypergraph Foundation Model.

Journal: IEEE transactions on pattern analysis and machine intelligence
Published Date:

Abstract

Hypergraph neural networks (HGNNs) effectively model complex high-order relationships in domains like protein interactions and social networks by connecting multiple vertices through hyperedges, enhancing modeling capabilities, and reducing information loss. Developing foundation models for hypergraphs is challenging due to their distinct data, which includes both vertex features and intricate structural information. We present Hyper-FM, a Hypergraph Foundation Model for multi-domain knowledge extraction, featuring Hierarchical High-Order Neighbor Guided Vertex Knowledge Embedding for vertex feature representation and Hierarchical Multi-Hypergraph Guided Structural Knowledge Extraction for structural information. Additionally, we curate 11 text-attributed hypergraph datasets to advance research between HGNNs and LLMs. Experiments on these datasets show that Hyper-FM outperforms baseline methods by approximately 13.4%, validating our approach. Furthermore, we propose the first scaling law for hypergraph foundation models, demonstrating that increasing domain diversity significantly enhances performance, unlike merely augmenting vertex and hyperedge counts. This underscores the critical role of domain diversity in scaling hypergraph models.

Authors

  • Yue Gao
    Institute of Medical Technology, Peking University Health Science Center, Beijing, China.
  • Yifan Feng
    College of Engineering, Shantou University, ShanTou, Guangdong, China.
  • Shiquan Liu
    Institute of Forensic Science, Fudan University, Shanghai, China. [email protected].
  • Xiangmin Han
  • Shaoyi Du
    Institute of Artificial Intelligence and Robotics, Xian Jiaotong University, Xian Shanxi Province, China.
  • Zongze Wu
    School of Automation, Guangdong University of Technology, Guangzhou, Guangdong, 510006, China. Electronic address: [email protected].
  • Han Hu
    Department of Orthopaedics, the Second Hospital of Jiaxing, Jiaxing 234001, Zhejiang, China.

Keywords

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