Hyperedge Representations with Hypergraph Wavelets: Applications to Spatial Transcriptomics

  • Xingzhi Sun
  • , Charles Xu
  • , João F. Rocha
  • , Chen Liu
  • , Benjamin Hollander-Bodie
  • , Laney Goldman
  • , Marcello DiStasio
  • , Michael Perlmutter
  • , Smita Krishnaswamy

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations

Abstract

In many data-driven applications, higher-order relationships among multiple objects are essential to capture complex interactions. Hypergraphs, which generalize graphs by allowing edges to connect any number of nodes, provide a flexible and powerful framework for modeling such higher-order relationships. In this work, we introduce hypergraph diffusion wavelets and describe their favorable spectral and spatial properties. We demonstrate their utility for biomedical discovery in spatially resolved transcriptomics by applying the method to represent disease-relevant cellular niches for Alzheimer’s disease.

Original languageEnglish
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
DOIs
StatePublished - 2025
Event2025 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2025 - Hyderabad, India
Duration: 6 Apr 202511 Apr 2025

Keywords

  • Alzheimer’s disease
  • hyperedge
  • hypergraph
  • representation learning
  • spatial transcriptomics
  • wavelets

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