Article
A new entropy based summary function for topological data analysis
Author/s | Atienza Martínez, María Nieves
González Díaz, Rocío Soriano Trigueros, Manuel |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2018 |
Deposit Date | 2019-07-01 |
Published in |
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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 ... 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. |
Project ID. | MTM2015-67072-P |
Citation | 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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