Persistent de Rham-Hodge Laplacians in the Eulerian representation
Persistent de Rham-Hodge Laplacians in the Eulerian representation
Recently, topological data analysis (TDA) has become a trending topic in data science and engineering. However, the key technique of TDA, i.e., persistent homology, is defined on point cloud data, which restricts its scope. In this work, we propose persistent de Rham-Hodge Laplacian, or persistent Hodge Laplacian (PHL) for abbreviation, …