2 papers
cs.IT2018
On the stability of persistent entropy and new summary functions for TDA
N. Atienza, R. Gonzalez-Diaz, M. Soriano-Trigueros
Persistent homology and persistent entropy have recently become useful tools for patter recognition. In this paper, we find requirements under which persistent entropy is stable to…
cs.IT2016
Separating Topological Noise from Features using Persistent Entropy
Nieves Atienza, Rocio Gonzalez-Diaz, Matteo Rucco
In this paper, we derive a simple method for separating topological noise from topological features using a novel measure for comparing persistence barcodes called persistent entro…