Kernel Methods on Spike Train Space for Neuroscience: A Tutorial

I. M. Park, S. Seth, A. R. C. Paiva, L. Li, J. C. Principe

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Over the last decade, several positive-definite kernels have been proposed to treat spike trains as objects in Hilbert space. However, for the most part, such attempts still remain a mere curiosity for both computational neuroscientists and signal processing experts. This tutorial illustrates why kernel methods can, and have already started to, change the way spike trains are analyzed and processed. The presentation incorporates simple mathematical analogies and convincing practical examples in an attempt to show the yet unexplored potential of positive definite functions to quantify point processes. It also provides a detailed overview of the current state of the art and future challenges with the hope of engaging the readers in active participation.
Original languageEnglish
Pages (from-to)149-160
Number of pages12
JournalIEEE Signal Processing Magazine
Volume30
Issue number4
DOIs
Publication statusPublished - Jul 2013

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