Jelena Grbić,Jie Wu,Kelin Xia et al.
Jelena Grbić et al.
We establish a new theory which unifies various aspects of topological approaches for data science, by being applicable both to point cloud data and to graph data, including networks beyond pairwise interactions. We generalize simplicial co...
Xiaoqi Wei,Guo-Wei Wei
Xiaoqi Wei
The p-persistent q-combinatorial Laplacian defined for a pair of simplicial complexes is a generalization of the q-combinatorial Laplacian. Given a filtration, the spectra of persistent combinatorial Laplacians not only recover the persiste...
Rui Wang,Rundong Zhao,Emily Ribando-Gros et al.
Rui Wang et al.
Persistent homology (PH) is one of the most popular tools in topological data analysis (TDA), while graph theory has had a significant impact on data science. Our earlier work introduced the persistent spectral graph (PSG) theory as a unifi...