A Robust Estimation of Information Flow in Coupled Nonlinear Systems

作者: Leon Iasemidis , Shivkumar Sabesan , Konstantinos Tsakalis , Andreas Spanias

DOI: 10.1007/978-0-387-88630-5_15

关键词:

摘要: Transfer entropy (TE) is a recently proposed measure of the information flow between coupled linear or nonlinear systems. In this study, we first suggest improvements in selection parameters for estimation TE that significantly enhance its accuracy and robustness identifying direction level observed data series generated by complex Second, new measure, net transfer (NTE), defined based on TE. Third, employ surrogate analysis to show statistical significance measures. Fourth, effect measurement noise measures’ performance investigated up \(S/N = 3\) dB. We demonstrate usefulness improved method analyzing from chaotic oscillators. Our findings NTE may play critical role elucidating functional connectivity networks

参考文章(27)
Andreas Spanias, Awadhesh Prasad, K. Narayanan, Shivkumar Sabesan, Leonidas D. Iasemidis, Improved measure of information flow in coupled nonlinear systems international conference on modelling and simulation. pp. 329- 333 ,(2003)
Robert S. Savit, Leonidas D. Iasemiidis, J. Chris Sackellares, QUANTIFICATION OF HIDDEN TIME DEPENDENCIES IN THE EEG WITHIN THE FRAMEWORK OF NONLINEAR DYNAMICS ,(1993)
Piotr J. Franaszczuk, Gregory K. Bergey, Application of the directed transfer function method to mesial and lateral onset temporal lobe seizures. Brain Topography. ,vol. 11, pp. 13- 21 ,(1998) , 10.1023/A:1022262318579
Alkis Vazacopoulos, Vladimir L. Boginski, Panos M. Pardalos, Data Mining in Biomedicine ,(2010)
R. Quian Quiroga, J. Arnhold, K. Lehnertz, P. Grassberger, Kulback-Leibler and renormalized entropies: applications to electroencephalograms of epilepsy patients. web science. ,vol. 62, pp. 8380- 8386 ,(2000) , 10.1103/PHYSREVE.62.8380
S. Vajda, Edwin F. Beckenbach, Modern mathematics for the engineer Econometrica. ,vol. 26, pp. 483- ,(1958) , 10.2307/1907635
Ernesto Pereda, Joydeep Bhattacharya, Rodrigo Quian Quiroga, Nonlinear multivariate analysis of neurophysiological signals Progress in Neurobiology. ,vol. 77, pp. 1- 37 ,(2005) , 10.1016/J.PNEUROBIO.2005.10.003
Robert J Tibshirani, Bradley Efron, An introduction to the bootstrap ,(1993)