A0352
Title: Persistence diagrams, use and limitations
Authors: Olympio Hacquard - Kyoto University (Japan) [presenting]
Abstract: Persistence diagram is a central tool in topological data analysis, aiming at characterizing all topological information present in a dataset. It is shown how to use it to perform a regression task by providing a topological characterization of functional noise. Given its high level of detail, persistence diagrams suffer from certain computational drawbacks, limiting their practical use. Some alternative topological descriptors are presented based on Euler characteristic computation that provide a high classification performance at a much reduced computational cost.
