English

Hypergraph Dissimilarity Measures

Machine Learning 2021-06-16 v1

Abstract

In this paper, we propose two novel approaches for hypergraph comparison. The first approach transforms the hypergraph into a graph representation for use of standard graph dissimilarity measures. The second approach exploits the mathematics of tensors to intrinsically capture multi-way relations. For each approach, we present measures that assess hypergraph dissimilarity at a specific scale or provide a more holistic multi-scale comparison. We test these measures on synthetic hypergraphs and apply them to biological datasets.

Keywords

Cite

@article{arxiv.2106.08206,
  title  = {Hypergraph Dissimilarity Measures},
  author = {Amit Surana and Can Chen and Indika Rajapakse},
  journal= {arXiv preprint arXiv:2106.08206},
  year   = {2021}
}
R2 v1 2026-06-24T03:13:39.311Z