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Artículo
A new entropy based summary function for topological data analysis
(Elsevier, 2018)
Topological data analysis (TDA) aims to obtain useful information from data sets using topological concepts. In particular, it may help to infer from nite sample when a con guration space is a manifold. So far, there ...
Artículo
Stable topological summaries for analyzing the organization of cells in a packed tissue
(MDPI, 2021)
We use topological data analysis tools for studying the inner organization of cells in segmented images of epithelial tissues. More specifically, for each segmented image, we compute different persistence barcodes, which ...
Artículo
Persistent entropy for separating topological features from noise in vietoris-rips complexes
(Springer, 2019)
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) representing birth and death times of k-dimensional ...
Artículo
A new topological entropy-based approach for measuring similarities among piecewise linear functions
(Elsevier, 2017)
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 functions. The comparison is certi ed by the ...