A measure of dependence between discrete and continuous variables

Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.

Bibliographic Details
Main Authors: Ré, Miguel Ángel, Aguirre Varela, Guillermo Gabriel Edgardo
Other Authors: https://orcid.org/0000-0001-9311-5285
Format: info:eu-repo/semantics/submittedVersion
Language:eng
Published: 2025
Subjects:
Online Access:http://hdl.handle.net/11086/554823
https://doi.org/10.48550/arXiv.1708.08537
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author Ré, Miguel Ángel
Aguirre Varela, Guillermo Gabriel Edgardo
author2 https://orcid.org/0000-0001-9311-5285
author_facet https://orcid.org/0000-0001-9311-5285
Ré, Miguel Ángel
Aguirre Varela, Guillermo Gabriel Edgardo
author_sort Ré, Miguel Ángel
collection Repositorio Digital Universitario
description Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
format info:eu-repo/semantics/submittedVersion
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institution Universidad Nacional de Cordoba
language eng
publishDate 2025
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spelling rdu-unc.5548232025-02-13T12:40:19Z A measure of dependence between discrete and continuous variables Ré, Miguel Ángel Aguirre Varela, Guillermo Gabriel Edgardo https://orcid.org/0000-0001-9311-5285 https://orcid.org/0000-0002-6781-2930 Entropic distances Jensen Shannon divergence Electroencephalogram Epilepsy Distancia entrópica Divergencia Jensen Shannon Electroencefalograma Epilepsia info:eu-repo/semantics/submittedVersion Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina. Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Aguirre Varela, Guillermo Gabriel Edgardo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Mutual Information (MI) is an useful tool for the recognition of mutual dependence berween data sets. Differen methods for the estimation of MI have been developed when both data sets are discrete or when both data sets are continuous. The MI estimation between a discrete data set and a continuous data set has not received so much attention. We present here a method for the estimation of MI for this last case based on the kernel density approximation. The calculation may be of interest in diverse contexts. Since MI is closely related to Jensen Shannon divergence, the method here developed is of particular interest in the problem of sequence segmentation. https://arxiv.org/pdf/1708.08537.pdf info:eu-repo/semantics/submittedVersion Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina. Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Aguirre Varela, Guillermo Gabriel Edgardo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Ciencias de la Información y Bioinformática (desarrollo de hardware va en 2.2 "Ingeniería Eléctrica, Electrónica y de Información" y los aspectos sociales van en 5.8 "Comunicación y Medios") 2025-02-13T12:33:19Z 2025-02-13T12:33:19Z 2017 article http://hdl.handle.net/11086/554823 https://doi.org/10.48550/arXiv.1708.08537 eng Atribución/Reconocimiento-NoComercial-SinDerivados 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es Electrónico y/o Digital
spellingShingle Entropic distances
Jensen Shannon divergence
Electroencephalogram
Epilepsy
Distancia entrópica
Divergencia Jensen Shannon
Electroencefalograma
Epilepsia
Ré, Miguel Ángel
Aguirre Varela, Guillermo Gabriel Edgardo
A measure of dependence between discrete and continuous variables
title A measure of dependence between discrete and continuous variables
title_full A measure of dependence between discrete and continuous variables
title_fullStr A measure of dependence between discrete and continuous variables
title_full_unstemmed A measure of dependence between discrete and continuous variables
title_short A measure of dependence between discrete and continuous variables
title_sort measure of dependence between discrete and continuous variables
topic Entropic distances
Jensen Shannon divergence
Electroencephalogram
Epilepsy
Distancia entrópica
Divergencia Jensen Shannon
Electroencefalograma
Epilepsia
url http://hdl.handle.net/11086/554823
https://doi.org/10.48550/arXiv.1708.08537
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