PERSISTENT DE RHAM-HODGE LAPLACIANS IN EULERIAN REPRESENTATION FOR MANIFOLD TOPOLOGICAL LEARNING

Recently, topological data analysis has become a trending topic in data science and engineering.However, the key technique of topological data analysis, i.e., persistent homology, scissor is defined on point cloud data, which does not work directly for data on manifolds.Although earlier evolutionary de Rham-Hodge theory deals with data on manifolds

Autonomous vehicles (AVs) provide safe and efficient transportation without human Clothes Line intervention through their sensors and communication technologies.The advent of such vehicles will lead to an unprecedented revolution in transportation.Higher acceptance rates justify investment in the infrastructure required for the expansion of such te