THE EFFECTS OF PAIR-WISE AND HIGHER ORDER CORRELATIONS ON THE FIRING RATE OF A POST-SYNAPTI.pdf

THE EFFECTS OF PAIR-WISE AND HIGHER ORDER CORRELATIONS ON THE FIRING RATE OF A POST-SYNAPTIC NEURON @Article{nc:bohte+spekreijse+roelfema:2000, author = {Bohte, S.M. and Spekreijse, H. and Roelfsema, P.R.}, title = {The effects of pair-wise and higher-order correlation on the firing rate of a post-synaptic neuron}, journal = {Neural Computation}, year = {2000}, volume = {12}, number = {1}, pages = {153-179} } This re-print corresponds to the article “The effects of pair-wise and higher order correlations on the firing rate of a post-synaptic neuron”, by Sander M. Bohte, Henk Spekreijse, and Pieter R. Roelfsema, and appeared in Neural Computation, 2000 (1), 153-179. The effects of pair-wise and higher order correlations on the firing rate of a post-synaptic neuron Sander M. Bohte? a Henk Spekreijseb Pieter R. Roelfsema b a CWI, Kruislaan 413, 1090 GB Amsterdam, The Netherlands b Graduate School Neurosciences Amsterdam, AMC, Dept. Medical Physics, University of Amsterdam, The Netherlands Ophthalmic Research Institute, P.O. Box 12141, 1100 AC, Amsterdam. Abstract Coincident firing of neurons projecting to a common target cell is likely to raise the probability of firing of this post-synaptic cell. There- fore synchronized firing constitutes a significant event for post-synaptic neurons and is likely to play a role in neuronal information processing. Physiological data on synchronized firing in cortical networks is primarily based on paired recordings and cross-correlation analysis. However, pair- wise correlations among all inputs onto a post-synaptic neuron do not uniquely determine the distribution of simultaneous post-synaptic events. We develop a framework in order to calculate the amount of synchronous firing that, based on maximum entropy, should exist in a homogeneous neural network in which the neurons have known pair-wise correlations and higher order structure is absent. According to the distribution of maximal entropy, synchronous events in which a large pro