Permutation Entropy and Its Main Biomedical and Econophysics Applications: A Review

Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David

doi:10.3390/e14081553

Cited by 554 publications

(465 citation statements)

References 108 publications

(165 reference statements)

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“…55 In recent years, the concept of entropy is utilized for understanding of complex and chaotic systems. Permutation entropy is an embedding entropy based method, it accounts for temporal information contained in time series.…”

Section: A Permutation Entropymentioning

confidence: 99%

On the dynamics of ocean ambient noise: Two decades later

Siddagangaiah

Guo

et al. 2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Two decades ago, it was shown that ambient noise exhibits low dimensional chaotic behavior. Recent new techniques in nonlinear science can effectively detect the underlying dynamics in noisy time series. In this paper, the presence of low dimensional deterministic dynamics in ambient noise is investigated using diverse nonlinear techniques, including correlation dimension, Lyapunov exponent, nonlinear prediction, and entropy based methods. The consistent interpretation of different methods demonstrates that ambient noise can be best modeled as nonlinear stochastic dynamics, thus rejecting the hypothesis of low dimensional chaotic behavior. The ambient noise data utilized in this study are of duration 60 s measured at South China Sea.

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Section: A Permutation Entropymentioning

confidence: 99%

On the dynamics of ocean ambient noise: Two decades later

Siddagangaiah

Guo

et al. 2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…It allows to classify different types of behaviors [20,21], to detect dynamical changes [22][23][24], etc. (see [25,26] for many examples).…”

Section: Introductionmentioning

confidence: 99%

Emergence of spike correlations in periodically forced excitable systems

2016

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In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences induced by a subthreshold periodic input, in the presence of white Gaussian noise. To simulate the spikes, we use the FitzHugh-Nagumo model, and to investigate the output sequence of inter-spike intervals (ISIs), we use the symbolic method of ordinal analysis. We find different types of relative temporal order, in the form of preferred ordinal patterns which depend on both, the strength of the noise and the period of the input signal. We also demonstrate a resonance-like behavior, as certain periods and noise levels enhance temporal ordering in the ISI sequence, maximizing the probability of the preferred patterns. Our findings could be relevant for understanding the mechanisms underlying temporal coding, by which single sensory neurons represent in spike sequences the information about weak periodic stimuli.

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“…possíveis permutações aparecem com a mesma probabilidade. Os valores elevados da entropia indicam um processo mais desordenado e menos previsível (BANDT e POMPE, 2002;ZANIN et al, 2012). A escolha do parâmetro d depende do tamanho da série analisada.…”

Section: Entropia De Permutaçãounclassified

Análise da variabilidade espaço temporal da chuva mensal no estado de Pernambuco utilizando o método entropia de permutação

et al. 2018

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RESUMO: Neste artigo analisou-se a variabilidade espacial da dinâmica da chuva em escala mensal no estado de Pernambuco, utilizando o método entropia de permutação. Este método foi desenvolvido como uma medida da complexidade de séries temporais, considerando as correlações temporais entre os valores da série utilizando uma representação simbólica baseada nas comparações dos valores consecutivos. Os resultados mostraram que os valores da entropia diminuem com a distância do litoral, indicando maior variabilidade e menor previsibilidade das chuvas mensais nas regiões da zona da Mata e Agreste e menor variabilidade e maior previsibilidade das chuvas mensais nas regiões do Sertão Pernambucano. PALAVRAS-CHAVE: Complexidade; precipitação; Pernambuco. IntroduçãoA precipitação pluviométrica tem grande importância na caracterização do clima de uma região. O conhecimento da variabilidade espacial e temporal da precipitação

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Permutation Entropy and Its Main Biomedical and Econophysics Applications: A Review

Cited by 554 publications

References 108 publications

On the dynamics of ocean ambient noise: Two decades later

On the dynamics of ocean ambient noise: Two decades later

Emergence of spike correlations in periodically forced excitable systems

Análise da variabilidade espaço temporal da chuva mensal no estado de Pernambuco utilizando o método entropia de permutação

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