title: Kulback-Leibler and renormalized entropies: applications to electroencephalograms of epilepsy patients.
abstract: Recently, "renormalized entropy" was proposed as a novel measure of relative entropy [P. Saparin et al., Chaos, Solitons and Fractals 4, 1907 (1994)] and applied to several physiological time sequences, including electroencephalograms (EEGs) of patients with epilepsy. We show here that this measure is just a modified Kullback-Leibler (KL) relative entropy, and it gives similar numerical results to the standard KL entropy. The latter better distinguishes frequency contents of, e.g., seizure and background EEGs than renormalized entropy. We thus propose that renormalized entropy might not be as useful as claimed by its proponents. In passing, we also make some critical remarks about the implementation of these methods.
authors.affiliation: John von Neumann Institute for Computing, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany.
authors.forename: R Q
authors.initials: RQ
authors.lastname: Quiroga
authors.forename: J
authors.initials: J
authors.lastname: Arnhold
authors.forename: K
authors.initials: K
authors.lastname: Lehnertz
authors.forename: P
authors.initials: P
authors.lastname: Grassberger
mesh_terms: D055592:Biophysical Phenomena; D001703:Biophysics; D003627:Data Interpretation, Statistical; D004569:Electroencephalography / Q000706:statistics & numerical data*; D019277:Entropy; D004827:Epilepsy / Q000175:diagnosis* / Q000503:physiopathology; D006801:Humans