Hypergraph clustering using Ricci curvature: an edge transport perspective
Abstract: In this paper, we introduce a novel method for extending Ricci flow to hypergraphs by defining probability measures on the edges and transporting them on the line expansion. This approach yields a new weighting on the edges, which proves particularly effective for community detection. We extensively compare this method with a similar notion of Ricci flow defined on the clique expansion, demonstrating its enhanced sensitivity to the hypergraph structure, especially in the presence of large hyperedges. The two methods are complementary and together form a powerful and highly interpretable framework for community detection in hypergraphs.
Submission Length: Regular submission (no more than 12 pages of main content)
Previous TMLR Submission Url: https://openreview.net/forum?id=UfDI0I1gVN
Changes Since Last Submission: The submission is now fully anonymized, with the code uploaded to an anonymous GitHub repository.
My apologies.
Assigned Action Editor: ~Giannis_Nikolentzos1
Submission Number: 3996
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