A new entropy based summary function for topological data analysis

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...

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Detalles Bibliográficos
Autores: Atienza Martínez, María Nieves, González Díaz, Rocío, Soriano Trigueros, Manuel
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87684
Acceso en línea:https://hdl.handle.net/11441/87684
https://doi.org/10.1016/j.endm.2018.06.020
Access Level:acceso abierto
Palabra clave:Persistent homology
Entropy
Topological data analysis
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spelling A new entropy based summary function for topological data analysisAtienza Martínez, María NievesGonzález Díaz, RocíoSoriano Trigueros, ManuelPersistent homologyEntropyTopological data analysisTopological 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.Ministerio de Economía y Competitividad MTM2015-67072-PElsevierMatemática Aplicada I2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/87684https://doi.org/10.1016/j.endm.2018.06.020reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésElectronic Notes in Discrete Mathematics, 68 (july 2018), 113-118.MTM2015-67072-Phttps://www.sciencedirect.com/science/article/pii/S1571065318301112info:eu-repo/semantics/openAccessoai:idus.us.es:11441/876842026-06-17T12:51:07Z
dc.title.none.fl_str_mv A new entropy based summary function for topological data analysis
title A new entropy based summary function for topological data analysis
spellingShingle A new entropy based summary function for topological data analysis
Atienza Martínez, María Nieves
Persistent homology
Entropy
Topological data analysis
title_short A new entropy based summary function for topological data analysis
title_full A new entropy based summary function for topological data analysis
title_fullStr A new entropy based summary function for topological data analysis
title_full_unstemmed A new entropy based summary function for topological data analysis
title_sort A new entropy based summary function for topological data analysis
dc.creator.none.fl_str_mv Atienza Martínez, María Nieves
González Díaz, Rocío
Soriano Trigueros, Manuel
author Atienza Martínez, María Nieves
author_facet Atienza Martínez, María Nieves
González Díaz, Rocío
Soriano Trigueros, Manuel
author_role author
author2 González Díaz, Rocío
Soriano Trigueros, Manuel
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Persistent homology
Entropy
Topological data analysis
topic Persistent homology
Entropy
Topological data analysis
description 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.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/87684
https://doi.org/10.1016/j.endm.2018.06.020
url https://hdl.handle.net/11441/87684
https://doi.org/10.1016/j.endm.2018.06.020
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Electronic Notes in Discrete Mathematics, 68 (july 2018), 113-118.
MTM2015-67072-P
https://www.sciencedirect.com/science/article/pii/S1571065318301112
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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