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A new entropy based summary function for topological data analysis

 

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Acceso restringido A new entropy based summary function for topological data analysis
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Author: Atienza Martínez, María Nieves
González Díaz, Rocío
Soriano Trigueros, Manuel
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2018
Published in: Electronic Notes in Discrete Mathematics, 68 (july 2018), 113-118.
Document type: Article
Abstract: 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 is no automatic process to decide the main topological features of a given sampled manifold. In this article, we present an entropy-based summary function which may help to decide the most relevant Betti numbers from nite samples of a given manifold.
Cite: Atienza Martínez, M.N., González Díaz, R. y Soriano Trigueros, M. (2018). A new entropy based summary function for topological data analysis. Electronic Notes in Discrete Mathematics, 68 (july 2018), 113-118.
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URI: https://hdl.handle.net/11441/87684

DOI: 10.1016/j.endm.2018.06.020

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