direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Es gibt keine deutsche Übersetzung dieser Webseite.

Search in All Publications

Suche nach Publikationen




All Publications by GRK Members

A Frank Mixture Copula Family for Modeling Higher-Order Correlations of Neural Spike Counts
Zitatschlüssel onken2009frank
Autor Onken, A., and Obermayer, K.
Seiten 012019
Jahr 2009
DOI 10.1088/1742-6596/197/1/012019
Journal J. Phys.: Conf. Ser.
Jahrgang 197
Nummer 1
Verlag IOP Publishing
Zusammenfassung In order to evaluate the importance of higher-order correlations in neural spike count codes, flexible statistical models of dependent multivariate spike counts are required. Copula families, parametric multivariate distributions that represent dependencies, can be applied to construct such models. We introduce the Frank mixture family as a new copula family that has separate parameters for all pairwise and higher-order correlations. In contrast to the Farlie-Gumbel-Morgenstern copula family that shares this property, the Frank mixture copula can model strong correlations. We apply spike count models based on the Frank mixture copula to data generated by a network of leaky integrate-and-fire neurons and compare the goodness of fit to distributions based on the Farlie-Gumbel-Morgenstern family. Finally, we evaluate the importance of using proper single neuron spike count distributions on the Shannon information. We find notable deviations in the entropy that increase with decreasing firing rates. Moreover, we find that the Frank mixture family increases the log likelihood of the fit significantly compared to the Farlie-Gumbel-Morgenstern family. This shows that the Frank mixture copula is a useful tool to assess the importance of higher-order correlations in spike count codes.
Link zur Originalpublikation Download Bibtex Eintrag

Nach oben

Import Publication

Upload BibTeX

Alle Einträge nach BibTex exportieren

Zusatzinformationen / Extras

Direktzugang:

Schnellnavigation zur Seite über Nummerneingabe