Permutation Entropy Based on Non-Uniform Embedding

Permutation Entropy Based on Non-Uniform Embedding

A novel visualization scheme for permutation entropy is presented in this paper. The proposed scheme is based on non-uniform attractor embedding of the investigated time series. A single digital image of permutation entropy is produced by averaging all possible plain projections of the permutation e...

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Main Authors: Mei Tao, Kristina Poskuviene, Nizar Faisal Alkayem, Maosen Cao, Minvydas Ragulskis
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Entropy
Subjects:
permutation entropy
ordinal pattern
attractor embedding
multi-dimensional phase space
Online Access:http://www.mdpi.com/1099-4300/20/8/612
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spelling doaj-d366b08c95f64a3fa3893d2d66b6464e2020-11-25T01:30:07ZengMDPI AGEntropy1099-43002018-08-0120861210.3390/e20080612e20080612Permutation Entropy Based on Non-Uniform EmbeddingMei Tao0Kristina Poskuviene1Nizar Faisal Alkayem2Maosen Cao3Minvydas Ragulskis4Department of Engineering Mechanics, Hohai University, Nanjing 210098, ChinaCenter for Nonlinear Systems, Kaunas University of Technology, Studentu 50-146, LT-51368 Kaunas, LithuaniaDepartment of Engineering Mechanics, Hohai University, Nanjing 210098, ChinaDepartment of Engineering Mechanics, Hohai University, Nanjing 210098, ChinaDepartment of Engineering Mechanics, Hohai University, Nanjing 210098, ChinaA novel visualization scheme for permutation entropy is presented in this paper. The proposed scheme is based on non-uniform attractor embedding of the investigated time series. A single digital image of permutation entropy is produced by averaging all possible plain projections of the permutation entropy measure in the multi-dimensional delay coordinate space. Computational experiments with artificially-generated and real-world time series are used to demonstrate the advantages of the proposed visualization scheme.http://www.mdpi.com/1099-4300/20/8/612permutation entropyordinal patternattractor embeddingmulti-dimensional phase space
collection DOAJ
language English
format Article
sources DOAJ
author Mei Tao
Kristina Poskuviene
Nizar Faisal Alkayem
Maosen Cao
Minvydas Ragulskis
spellingShingle Mei Tao
Kristina Poskuviene
Nizar Faisal Alkayem
Maosen Cao
Minvydas Ragulskis
Permutation Entropy Based on Non-Uniform Embedding
Entropy
permutation entropy
ordinal pattern
attractor embedding
multi-dimensional phase space
author_facet Mei Tao
Kristina Poskuviene
Nizar Faisal Alkayem
Maosen Cao
Minvydas Ragulskis
author_sort Mei Tao
title Permutation Entropy Based on Non-Uniform Embedding
title_short Permutation Entropy Based on Non-Uniform Embedding
title_full Permutation Entropy Based on Non-Uniform Embedding
title_fullStr Permutation Entropy Based on Non-Uniform Embedding
title_full_unstemmed Permutation Entropy Based on Non-Uniform Embedding
title_sort permutation entropy based on non-uniform embedding
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2018-08-01
description A novel visualization scheme for permutation entropy is presented in this paper. The proposed scheme is based on non-uniform attractor embedding of the investigated time series. A single digital image of permutation entropy is produced by averaging all possible plain projections of the permutation entropy measure in the multi-dimensional delay coordinate space. Computational experiments with artificially-generated and real-world time series are used to demonstrate the advantages of the proposed visualization scheme.
topic permutation entropy
ordinal pattern
attractor embedding
multi-dimensional phase space
url http://www.mdpi.com/1099-4300/20/8/612
work_keys_str_mv AT meitao permutationentropybasedonnonuniformembedding
AT kristinaposkuviene permutationentropybasedonnonuniformembedding
AT nizarfaisalalkayem permutationentropybasedonnonuniformembedding
AT maosencao permutationentropybasedonnonuniformembedding
AT minvydasragulskis permutationentropybasedonnonuniformembedding
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