Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions

A symbolic encoding scheme, based on the ordinal relation between the amplitude of neighboring values of a given data sequence, should be implemented before estimating the permutation entropy. Consequently, equalities in the analyzed signal, i.e. repeated equal values, deserve special attention and...

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Detalles Bibliográficos
Autores principales: Zunino, Luciano José, Olivares, Felipe, Scholkmann, Felix, Rosso, Osvaldo A.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2017
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125186
Aporte de:
id I19-R120-10915-125186
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Time series analysis
Permutation entropy
Equalities
Spurious temporal correlations
spellingShingle Física
Time series analysis
Permutation entropy
Equalities
Spurious temporal correlations
Zunino, Luciano José
Olivares, Felipe
Scholkmann, Felix
Rosso, Osvaldo A.
Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
topic_facet Física
Time series analysis
Permutation entropy
Equalities
Spurious temporal correlations
description A symbolic encoding scheme, based on the ordinal relation between the amplitude of neighboring values of a given data sequence, should be implemented before estimating the permutation entropy. Consequently, equalities in the analyzed signal, i.e. repeated equal values, deserve special attention and treatment. In this work, we carefully study the effect that the presence of equalities has on permutation entropy estimated values when these ties are symbolized, as it is commonly done, according to their order of appearance. On the one hand, the analysis of computer-generated time series is initially developed to understand the incidence of repeated values on permutation entropy estimations in controlled scenarios. The presence of temporal correlations is erroneously concluded when true pseudorandom time series with low amplitude resolutions are considered. On the other hand, the analysis of real-world data is included to illustrate how the presence of a significant number of equal values can give rise to false conclusions regarding the underlying temporal structures in practical contexts.
format Articulo
Preprint
author Zunino, Luciano José
Olivares, Felipe
Scholkmann, Felix
Rosso, Osvaldo A.
author_facet Zunino, Luciano José
Olivares, Felipe
Scholkmann, Felix
Rosso, Osvaldo A.
author_sort Zunino, Luciano José
title Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
title_short Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
title_full Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
title_fullStr Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
title_full_unstemmed Permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
title_sort permutation entropy based time series analysis: equalities in the input signal can lead to false conclusions
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/125186
work_keys_str_mv AT zuninolucianojose permutationentropybasedtimeseriesanalysisequalitiesintheinputsignalcanleadtofalseconclusions
AT olivaresfelipe permutationentropybasedtimeseriesanalysisequalitiesintheinputsignalcanleadtofalseconclusions
AT scholkmannfelix permutationentropybasedtimeseriesanalysisequalitiesintheinputsignalcanleadtofalseconclusions
AT rossoosvaldoa permutationentropybasedtimeseriesanalysisequalitiesintheinputsignalcanleadtofalseconclusions
bdutipo_str Repositorios
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