Symbolic Transfer Entropy

Staniek, Matthäus; Lehnertz, Klaus

doi:10.1103/physrevlett.100.158101

Cited by 523 publications

(396 citation statements)

References 25 publications

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“…Verdes [48] applied the concept of TE to multivariate time series, thus proposing a model-free, information-theoretical tool for examining weakly dependent time series that compare the relative influence of two or more external dynamics trigger on a given system. The TE approach was extended by Staniek & Lehnertz [51] by using a technique of symbolization to estimate TE, called symbolic transfer entropy (STE). STE is a robust and computationally fast method to quantify the dominating direction of information flow between time series from structurally identical and non-identical coupled systems.…”

Section: (C) Entropymentioning

confidence: 99%

Cardiovascular and cardiorespiratory coupling analyses: a review

Schulz

Adochiei

Edu

et al. 2013

Phil. Trans. R. Soc. A.

150

127

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Recently, methods have been developed to analyse couplings in dynamic systems. In the field of medical analysis of complex cardiovascular and cardiorespiratory systems, there is growing interest in how insights may be gained into the interaction between regulatory mechanisms in healthy and diseased persons. The couplings within and between these systems can be linear or nonlinear. However, the complex mechanisms involved in cardiovascular and cardiorespiratory regulation very likely interact with each other in a nonlinear way. Recent advances in nonlinear dynamics and information theory have allowed the multivariate study of information transfer between time series. They therefore might be able to provide additional diagnostic and prognostic information in medicine and might, in particular, be able to complement traditional linear coupling analysis techniques. In this review, we describe the approaches (Granger causality, nonlinear prediction, entropy, symbolization, phase synchronization) most commonly applied to detect direct and indirect couplings between time series, especially focusing on nonlinear approaches. We will discuss their capacity to quantify direct and indirect couplings and the direction (driver–response relationship) of the considered interaction between different biological time series. We also give their basic theoretical background, their basic requirements for application, their main features and demonstrate their usefulness in different applications in the field of cardiovascular and cardiorespiratory coupling analyses.

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Section: (C) Entropymentioning

confidence: 99%

Cardiovascular and cardiorespiratory coupling analyses: a review

Schulz

Adochiei

Edu

et al. 2013

Phil. Trans. R. Soc. A.

150

127

View full text Add to dashboard Cite

show abstract

“…Staniek and Lehnertz [50] proposed a method for symbolization, and demonstrated numerically that symbolic transfer entropy is a robust and computationally efficient method for quantifying the dominant direction of information flow among time series from structurally identical and non-identical coupled systems.…”

Section: Symbolizationmentioning

confidence: 99%

“…Following ref. [50], we define the symbol by reordering the amplitude values of the time series y t and x t . Amplitude values X t = {x(t), x(t + l), ..., x(t + (m − 1)l)} are arranged in an ascending order…”

Section: Symbolizationmentioning

confidence: 99%

A Study of the Transfer Entropy Networks on Industrial Electricity Consumption

Yao

Kuang

Lin

et al. 2017

Entropy

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Abstract:We study information transfer routes among cross-industry and cross-region electricity consumption data based on transfer entropy and the MST (Minimum Spanning Tree) model. First, we characterize the information transfer routes with transfer entropy matrixes, and find that the total entropy transfer of the relatively developed Guangdong Province is lower than others, with significant industrial cluster within the province. Furthermore, using a reshuffling method, we find that driven industries contain much more information flows than driving industries, and are more influential on the degree of order of regional industries. Finally, based on the Chu-Liu-Edmonds MST algorithm, we extract the minimum spanning trees of provincial industries. Individual MSTs show that the MSTs follow a chain-like formation in developed provinces and star-like structures in developing provinces. Additionally, all MSTs with the root of minimal information outflow industrial sector are of chain-form.

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“…Considering the experimental setting, reasonable extensions of the experimental time steps are recommended. Additionally, to detect the causal relation, we can use other measures, such as granger causality, mutual information, symbolic transfer entropy [32], etc., according to what we would like to see. Especially, by using symbolic transfer entropy [32], we can avoid the difficulty to set the bin size.…”

Section: In This System Transfer Entropy Tends To Show T E(active → mentioning

confidence: 99%

Basic Problems in Self-Assembling Robots and a Case Study of Segregation on Tribolon Platform

Miyashita

Ngouabeu

Füchslin

et al. 2011

Bio-Inspired Self-Organizing Robotic Systems

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Abstract. It has been a quite while since people realized that self-assembly technique may be a strong method to manufacture 3D micro products. In this contribution, we investigate some major concerns about realizing such a small sized robot. First we introduce the concept of self-assembly and introduce examples both from nature and artificial products. Followed by the main problems in self-assembly which can be seen in various scales, we classify them into four groups -(A) assembly constraint issues, (B) stochastic motion issues, (C) interactions on physical property issues, and (D) engineering issues. Then we show a segregation effect with our developed platform as an example of self-organizing behavior achieved in a distributed manner.

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Symbolic Transfer Entropy

Cited by 523 publications

References 25 publications

Cardiovascular and cardiorespiratory coupling analyses: a review

Cardiovascular and cardiorespiratory coupling analyses: a review

A Study of the Transfer Entropy Networks on Industrial Electricity Consumption

Basic Problems in Self-Assembling Robots and a Case Study of Segregation on Tribolon Platform

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