title: Implicit Wiener series analysis of epileptic seizure recordings.
abstract: Implicit Wiener series are a powerful tool to build Volterra representations of time series with any degree of non-linearity. A natural question is then whether higher order representations yield more useful models. In this work we shall study this question for ECoG data channel relationships in epileptic seizure recordings, considering whether quadratic representations yield more accurate classifiers than linear ones. To do so we first show how to derive statistical information on the Volterra coefficient distribution and how to construct seizure classification patterns over that information. As our results illustrate, a quadratic model seems to provide no advantages over a linear one. Nevertheless, we shall also show that the interpretability of the implicit Wiener series provides insights into the inter-channel relationships of the recordings.
authors: Universidad Autónoma de Madrid - Instituto de Ingeniería del Conocimiento. alvaro.barbero@uam.es
authors: Alvaro
authors: A
authors: Barbero
authors: Matthias
authors: M
authors: Franz
authors: Wim
authors: W
authors: van Drongelen
authors: José R
authors: JR
authors: Dorronsoro
authors: Bernhard
authors: B
authors: Schölkopf
authors: Moritz
authors: M
authors: Grosse-Wentrup
mesh_terms: D000465:Algorithms; D004566:Electrodes; D004569:Electroencephalography; D004827:Epilepsy / Q000503:physiopathology*; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics