Characterizing correlation changes of complex pattern transitions: The case of epileptic activity

Gerold Baier; Markus Müller; Ulrich Stephani; Hiltrud Muhle

doi:10.1016/j.physleta.2006.11.003

Characterizing correlation changes of complex pattern transitions: The case of epileptic activity

Gerold Baier, Markus Müller, Ulrich Stephani, Hiltrud Muhle

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Abstract

We analyze the time-dependent spectrum of eigenvalues of the correlation matrix for multivariate EEG data at the transition to epileptic seizures. By a mechanism of level repulsion between states at both edges of the spectrum of the correlation matrix, relevant information about quantitative correlation changes is reflected in the largest and smallest eigenvalues and corresponding eigenvectors. By the application of measures from random matrix theory we provide evidence that statistically relevant information can be obtained both at the upper and the lower end of the spectrum. In addition, information about spatial characteristics of correlation changes can be extracted. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	290-296
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	363
Issue number	4
DOIs	https://doi.org/10.1016/j.physleta.2006.11.003
Publication status	Published - 2 Apr 2007

Keywords

Correlation matrix
Epilepsy
Pattern transitions
Random matrix theory
Time series analysis

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abstract = "We analyze the time-dependent spectrum of eigenvalues of the correlation matrix for multivariate EEG data at the transition to epileptic seizures. By a mechanism of level repulsion between states at both edges of the spectrum of the correlation matrix, relevant information about quantitative correlation changes is reflected in the largest and smallest eigenvalues and corresponding eigenvectors. By the application of measures from random matrix theory we provide evidence that statistically relevant information can be obtained both at the upper and the lower end of the spectrum. In addition, information about spatial characteristics of correlation changes can be extracted. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

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AU - Baier, Gerold

AU - Müller, Markus

AU - Stephani, Ulrich

AU - Muhle, Hiltrud

PY - 2007/4/2

Y1 - 2007/4/2

N2 - We analyze the time-dependent spectrum of eigenvalues of the correlation matrix for multivariate EEG data at the transition to epileptic seizures. By a mechanism of level repulsion between states at both edges of the spectrum of the correlation matrix, relevant information about quantitative correlation changes is reflected in the largest and smallest eigenvalues and corresponding eigenvectors. By the application of measures from random matrix theory we provide evidence that statistically relevant information can be obtained both at the upper and the lower end of the spectrum. In addition, information about spatial characteristics of correlation changes can be extracted. © 2006 Elsevier B.V. All rights reserved.

AB - We analyze the time-dependent spectrum of eigenvalues of the correlation matrix for multivariate EEG data at the transition to epileptic seizures. By a mechanism of level repulsion between states at both edges of the spectrum of the correlation matrix, relevant information about quantitative correlation changes is reflected in the largest and smallest eigenvalues and corresponding eigenvectors. By the application of measures from random matrix theory we provide evidence that statistically relevant information can be obtained both at the upper and the lower end of the spectrum. In addition, information about spatial characteristics of correlation changes can be extracted. © 2006 Elsevier B.V. All rights reserved.

KW - Correlation matrix

KW - Epilepsy

KW - Pattern transitions

KW - Random matrix theory

KW - Time series analysis

U2 - 10.1016/j.physleta.2006.11.003

DO - 10.1016/j.physleta.2006.11.003

M3 - Article

VL - 363

SP - 290

EP - 296

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

Characterizing correlation changes of complex pattern transitions: The case of epileptic activity

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