Complexity-entropy causality plane as a complexity measure for two-dimensional patterns

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less common. Here, we reduce this gap by applying the ideas of the p...

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Detalles Bibliográficos
Autores principales: Ribeiro, Haroldo V., Zunino, Luciano José, Lenzi, Ervin K., Santoro, Perseu A., Mendes, Renio S.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Física
Transición de Fase
Probabilidad
Cristales Líquidos
Entropía
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/29649
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-29649
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Transición de Fase
Probabilidad
Cristales Líquidos
Entropía
spellingShingle Ciencias Exactas
Física
Transición de Fase
Probabilidad
Cristales Líquidos
Entropía
Ribeiro, Haroldo V.
Zunino, Luciano José
Lenzi, Ervin K.
Santoro, Perseu A.
Mendes, Renio S.
Complexity-entropy causality plane as a complexity measure for two-dimensional patterns
topic_facet Ciencias Exactas
Física
Transición de Fase
Probabilidad
Cristales Líquidos
Entropía
description Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less common. Here, we reduce this gap by applying the ideas of the permutation entropy combined with a relative entropic index. We build up a numerical procedure that can be easily implemented to evaluate the complexity of two or higher-dimensional patterns. We work out this method in different scenarios where numerical experiments and empirical data were taken into account. Specifically, we have applied the method to i) fractal landscapes generated numerically where we compare our measures with the Hurst exponent; ii) liquid crystal textures where nematic-isotropic-nematic phase transitions were properly identified; iii) 12 characteristic textures of liquid crystals wher the different values show that the method can distinguish different phases; iv) and Ising surfaces where our method identified the critical temperature and also proved to be stable.
format Articulo
Articulo
author Ribeiro, Haroldo V.
Zunino, Luciano José
Lenzi, Ervin K.
Santoro, Perseu A.
Mendes, Renio S.
author_facet Ribeiro, Haroldo V.
Zunino, Luciano José
Lenzi, Ervin K.
Santoro, Perseu A.
Mendes, Renio S.
author_sort Ribeiro, Haroldo V.
title Complexity-entropy causality plane as a complexity measure for two-dimensional patterns
title_short Complexity-entropy causality plane as a complexity measure for two-dimensional patterns
title_full Complexity-entropy causality plane as a complexity measure for two-dimensional patterns
title_fullStr Complexity-entropy causality plane as a complexity measure for two-dimensional patterns
title_full_unstemmed Complexity-entropy causality plane as a complexity measure for two-dimensional patterns
title_sort complexity-entropy causality plane as a complexity measure for two-dimensional patterns
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/29649
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