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 languageEnglish
    Pages (from-to)290-296
    Number of pages6
    JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
    Volume363
    Issue number4
    DOIs
    Publication statusPublished - 2 Apr 2007

    Keywords

    • Correlation matrix
    • Epilepsy
    • Pattern transitions
    • Random matrix theory
    • Time series analysis

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