English

Spike train statistics and Gibbs distributions

Biological Physics 2014-04-15 v1 Neurons and Cognition

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.

Cite

@article{arxiv.1302.5007,
  title  = {Spike train statistics and Gibbs distributions},
  author = {B. Cessac and R. Cofré},
  journal= {arXiv preprint arXiv:1302.5007},
  year   = {2014}
}

Comments

23 pages, submitted

R2 v1 2026-06-21T23:29:31.577Z