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Gibbs distribution analysis of temporal correlations structure in retina ganglion cells

Juan Carlos Vasquez 1 Olivier Marre 2 Adrian Palacios 3 Michael J. Berry Ii 4 Bruno Cessac 1 
1 NEUROMATHCOMP
CRISAM - Inria Sophia Antipolis - Méditerranée , INRIA Rocquencourt, ENS-PSL - École normale supérieure - Paris, UNS - Université Nice Sophia Antipolis (1965 - 2019), CNRS - Centre National de la Recherche Scientifique : UMR8548
Abstract : We present a method to estimate Gibbs distributions with \textit{spatio-temporal} constraints on spike trains statistics. We apply this method to spike trains recorded from ganglion cells of the salamander retina, in response to natural movies. Our analysis, restricted to a few neurons, performs more accurately than pairwise synchronization models (Ising) or the 1-time step Markov models (\cite{marre-boustani-etal:09}) to describe the statistics of spatio-temporal spike patterns and emphasizes the role of higher order spatio-temporal interactions.
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https://hal.inria.fr/hal-00846132
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Submitted on : Thursday, July 18, 2013 - 3:51:45 PM
Last modification on : Friday, November 18, 2022 - 9:24:08 AM

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Juan Carlos Vasquez, Olivier Marre, Adrian Palacios, Michael J. Berry Ii, Bruno Cessac. Gibbs distribution analysis of temporal correlations structure in retina ganglion cells. Journal of Physiology - Paris, 2012, 106 (3-4), pp.120-127. ⟨10.1016/j.jphysparis.2011.11.001⟩. ⟨hal-00846132⟩

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