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  Finding dependencies between frequencies with the kernel cross-spectral density

Besserve, M., Janzing, D., Logothetis, N., & Schölkopf, B. (2011). Finding dependencies between frequencies with the kernel cross-spectral density. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2011) (pp. 2080-2083). Piscataway, NJ, USA: IEEE.

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Besserve, M1, 2, Autor           
Janzing, D3, Autor           
Logothetis, NK2, Autor           
Schölkopf, B1, Autor           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Department Physiology of Cognitive Processes, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497798              
3Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 Zusammenfassung: Cross-spectral density (CSD), is widely used to find linear dependency between two real or complex valued time series. We define a non-linear extension of this measure by mapping the time series into two Reproducing Kernel Hilbert Spaces. The dependency is quantified by the Hilbert Schmidt norm of a cross-spectral density operator between these two spaces. We prove that, by choosing a characteristic kernel for the mapping, this quantity detects any pairwise dependency between the time series. Then we provide a fast estimator for the Hilbert-Schmidt norm based on the Fast Fourier Trans form. We demonstrate the interest of this approach to quantify non-linear dependencies between frequency bands of simulated signals and intra-cortical neural recordings.

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 Datum: 2011-05
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: ISBN: 978-1-4577-0538-0
URI: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=arnumber=5946735
DOI: 10.1109/ICASSP.2011.5946735
BibTex Citekey: 7047
 Art des Abschluß: -

Veranstaltung

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Titel: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2011)
Veranstaltungsort: Praha, Czech Republic
Start-/Enddatum: -

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Titel: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2011)
Genre der Quelle: Konferenzband
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Ort, Verlag, Ausgabe: Piscataway, NJ, USA : IEEE
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 2080 - 2083 Identifikator: -