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Maximum entropy model to predict spatiotemporal spike patterns (Marre et al. 2009)
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<html><pre> %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% Package for analyzing multi-electrode data with a Markov-Ising model. %%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% This package corresponds to the paper: Prediction of spatio-temporal patterns of neural activity from pairwise correlations. Olivier Marre, Sami El Boustani, Yves Frégnac and Alain Destexhe Physical Review Letters, 2009. <a href="http://arxiv.org/abs/0903.0127">http://arxiv.org/abs/0903.0127</a> The code here allows to reproduce easily the fig 1, analyze your own multi-electrode data, and generate surrogate data with the same statistics than the ones captured by the Markov model. The approach is the following: -load or generate a raster -compute the mean activity of each neuron (m), the instantaneous pairwise correlations (C), and the pairwise correlations between time t and time t+1. -estimate the h, J and J1 parameters of the model corresponding to the m, C and C1: by an analytical approximation followed by a gradient descent. This might not be enough for a large number of neurons. -Estimating the performance of the fit by comparing the prediction, and the empirical estimation, of the ocurrence rate of different spatio-temporal spiking patterns. This is done for different temporal sizes of these patterns. The program "BatchOctestGlauber" is performing all these steps. 1)How to use this program: -The best is probably to first have a look on the code which reproduces the figure 1. First launch "i2mPath" to set all the sub-directories. Then "BatchOctestGlauber" will do all the analysis (it takes several minutes), and stores the results in the WorkSpace directory. Then launch "Fig1" to draw the figure. -To analyze your data, construct a file "spikes.txt" which contain the spike times, with the format explained in /LoadRaster/LoadRaster.m -the directory InfoTools contains some simple methods to measure the Kullback-Leibler (KL) and the Jensen Shannon (Djs) divergences. -/Surrogate/Surrogate.m will generate some surrogate data having the same statistics than the ones captured by the model. 2) The code is organized in different directories: -Common: The core of the program. Contains all the functions needed to fit the model to mean and correlations measured from the data. -FigurePlot: routines to plot the Figure 1 of the paper -Figures: directory where automatically generated figures will be stored. -Glauber: to simulate the Glauber model -InfoTools: contains some simple methods to measure the Kullback-Leibler (KL) and the Jensen Shannon (Djs) divergences. -LoadRaster: to load and bin a raster -surrogate: Surrogate.m will generate some surrogate data having the same statistics than the ones captured by the model. -Workspace: where the workspace is stored after running one of the batchs. </pre></html>
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Maximum entropy model to predict spatiotemporal spike patterns (Marre et al. 2009)
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