99 citations · 108 across the 5 of their papers we have counts for
6 papers
Characterising epithelial tissues using persistent entropy
N. Atienza, L. M. Escudero, M. J. Jimenez +1
In this paper, we apply persistent entropy, a novel topological statistic, for characterization of images of epithelial tissues. We have found out that persistent entropy is able t…
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…
Persistent Entropy for Separating Topological Features from Noise in Vietoris-Rips Complexes
Nieves Atienza, Rocio Gonzalez-Diaz, Matteo Rucco
Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called a filtration). The set of bars (i.e. intervals) representin…
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…
A new topological entropy-based approach for measuring similarities among piecewise linear functions
Matteo Rucco, Rocio Gonzalez-Diaz, Maria-Jose Jimenez +5
In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for addressing the comparison between discrete piecewise linear funct…
Balanced Islands in Two Colored Point Sets in the Plane
Oswin Aichholzer, Nieves Atienza, Ruy Fabila-Monroy +5
Let be a set of points in general position in the plane, of which are red and of which are blue. In this paper we prove that there exist: for every $α\in \left [ 0,…