Variacions de diagrames de persistència en classificació

Abstract

[en] Topological Data analysis has been extensively used to solve point cloud classification problems; however, how to use TDA in classification of points in $\mathbb{R}^2$ has not been studied yet. In this work we use recently developed tools on the study of random persistence diagrams in order to deal with the classification of points in $\mathbb{R}^d$.