13 citations · 16 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…
A Unified Topological Approach to Data Science
Jelena Grbić, Jie Wu, Kelin Xia +1
We establish a new theory which gives a unified topological approach to data science, by being applicable both to point cloud data and to graph data, including networks beyond pair…
Topological complexity of the work map
Aniceto Murillo, Jie Wu
We introduce the topological complexity of the work map associated to a robot system. In broad terms, this measures the complexity of any algorithm controlling, not just the motion…