13 citations · 21 across the 4 of their papers we have counts for
4 papers
The magnitude homology of a hypergraph
Wanying Bi, Jingyan Li, Jie Wu
The magnitude homology, introduced by R. Hepworth and S. Willerton, offers a topological invariant that enables the study of graph properties. Hypergraphs, being a generalization o…
The algebraic stability for persistent Laplacians
Jian Liu, Jingyan Li, Jie Wu
The stability of topological persistence is one of the fundamental issues in topological data analysis. Numerous methods have been proposed to address the stability of persistent m…
On the Cayley-persistence algebra
Wanying Bi, Jingyan Li, Jian Liu +1
In this paper, we introduce a persistent (co)homology theory for Cayley digraph grading. We give the algebraic structures of Cayley-persistence object. Specifically, we consider th…
The Embedded Homology of Hypergraphs and Applications
Stephane Bressan, Jingyan Li, Shiquan Ren +1
Hypergraphs are mathematical models for many problems in data sciences. In recent decades, the topological properties of hypergraphs have been studied and various kinds of (co)homo…