Kernel methods on spike train space for neuroscience: a tutorial. Park, I. M., Seth, S., Paiva, A. R. C., Li, L., & Principe, J. C. IEEE Signal Processing Magazine, 30(4):149--160, July, 2013. doi abstract bibtex 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.
@ARTICLE{Park2013a,
author = {Park, Il Memming and Seth, Sohan and Paiva, Antonio R. C. and Li,
Lin and Principe, Jose C.},
title = {Kernel methods on spike train space for neuroscience: a tutorial},
journal = {IEEE Signal Processing Magazine},
year = {2013},
volume = {30},
pages = {149--160},
number = {4},
month = jul,
abstract = {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.},
day = {24},
doi = {10.1109/msp.2013.2251072},
eprint = {1302.5964},
issn = {1053-5888}
}
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