Detecting determinism from point processes
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- dc.contributor.author Andrzejak, Ralph Gregor
- dc.contributor.author Mormann, Florian
- dc.contributor.author Kreuz, Thomas
- dc.date.accessioned 2020-02-12T18:00:09Z
- dc.date.available 2020-02-12T18:00:09Z
- dc.date.issued 2014
- dc.description.abstract The detection of a nonrandom structure from experimental data can be crucial for the classification, understanding, and interpretation of the generating process. We here introduce a rank-based nonlinear predictability score to detect determinism from point process data. Thanks to its modular nature, this approach can be adapted to whatever signature in the data one considers indicative of deterministic structure. After validating our approach using point process signals from deterministic and stochastic model dynamics, we show an application to neuronal spike trains recorded in the brain of an epilepsy patient. While we illustrate our approach in the context of temporal point processes, it can be readily applied to spatial point processes as well.en
- dc.description.sponsorship R.G.A. acknowledges Grant No. FIS-2010-18204 of the Spanish Ministry of Education and Science. R.G.A. and F.M. acknowledge funding from the Volkswagen Foundation. T.K. acknowledges funding from the European Commission through the Marie Curie Initial Training Network ‘Neural Engineering Transformative Technologies (NETT)’, Project No. 289146.en
- dc.format.mimetype application/pdf
- dc.identifier.citation Andrzejak RG, Mormann F, Kreuz T. Detecting determinism from point processes. Phys Rev E. 2014;90(6):062906. DOI: 10.1103/PhysRevE.90.062906
- dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.90.062906
- dc.identifier.issn 2470-0045
- dc.identifier.uri http://hdl.handle.net/10230/43555
- dc.language.iso eng
- dc.publisher American Physical Society
- dc.relation.ispartof Physical Review E. 2014;90(6):062906.
- dc.relation.isreferencedby http://hdl.handle.net/10230/42941
- dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/FIS2010-18204
- dc.rights © American Physical Society. Published article available at https://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.062906
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.title Detecting determinism from point processes
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/publishedVersion