Hannaneh Fahimi

IsUMap: Manifold Learning and Data Visualization Leveraging Vietoris-Rips Filtrations

This work introduces IsUMap, a novel manifold learning technique that enhances data representation by integrating aspects of UMAP and Isomap with Vietoris-Rips filtrations and metric realization of one-parameter filtrations of simplicial complexes. Inferring topological information from combinatori…