On the stability of persistent entropy and new summary functions for TDA

03/22/2018

∙

by   N. Atienza, et al.

∙

0

∙

share

In this paper, we study properties of persistent entropy (the Shannon entropy of persistent barcodes) and prove its stability under small perturbations in the given input data. From this concept, we define two summary functions and show how to use them to detect topological features.