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Spike train statistics and Gibbs distributions

Bruno Cessac 1 Rodrigo Cofre 1
1 NEUROMATHCOMP - Mathematical and Computational Neuroscience
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : This paper is based on a lecture given in the LACONEU summer school, Valparaiso, January 2012. We introduce Gibbs distribution in a general setting, including non stationary dynamics, and present then three examples of such Gibbs distributions, in the context of neural networks spike train statistics: (i) Maximum entropy model with spatio-temporal constraints; (ii) Generalized Linear Models; (iii) Conductance based Inte- grate and Fire model with chemical synapses and gap junctions.
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https://hal.inria.fr/hal-00850155
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Submitted on : Monday, August 5, 2013 - 9:09:42 AM
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Bruno Cessac, Rodrigo Cofre. Spike train statistics and Gibbs distributions. Journal of Physiology - Paris, Elsevier, 2013, 107 (5), pp.360-368. ⟨hal-00850155⟩

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