99 citations · 111 across the 3 of their papers we have counts for
4 papers
Partial Matchings Induced by Morphisms between Persistence Modules
R. Gonzalez-Diaz, M. Soriano-Trigueros, A. Torras-Casas
We study how to obtain partial matchings using the block function , induced by a morphism between persistence modules. is defined algebraically a…
Additive Partial Matchings Induced by Persistence Maps
R. Gonzalez-Diaz, M. Soriano-Trigueros, A. Torras-Casas
Persistent homology is a fundamental tool in Topological Data Analysis. The associated algebraic structure is the persistence module, a sequence of vector spaces connected by linea…
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…