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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
On the stability of persistent entropy and new summary functions for Topological Data Analysis
(Cornell University, 2018)
Persistent entropy of persistence barcodes, which is based on the Shannon entropy, has been recently defined and successfully applied to different scenarios: characterization of the idiotypic immune network, detection ...
Artículo
Persistence Partial Matchings Induced by Morphisms between Persistence Modules
(Cornell University, 2021)
The notion of persistence partial matching, as a generalization of partial matchings between persistence modules, is introduced. We study how to obtain a persistence partial matching Gf , and a partial matching Mf , ...
Artículo
Basis-independent partial matchings induced by morphisms between persistence modules
(Cornell University, 2020)
In this paper, we study how basis-independent partial matchings induced by morphisms between persistence modules (also called ladder modules) can be defined. Besides, we extend the notion of basis-independent partial ...