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Poster Communications Year : 2014

Can We Hear the Shape of a Maximum Entropy Potential From Spike Trains?

Abstract

We consider a spike-generating stationary Markov process whose transition probabilities are known. We show that there is a canonicalpotential whose Gibbs distribution, obtained from the MaximumEntropy Principle (MaxEnt), is the equilibrium distribution of thisprocess. We provide a method to compute explicitly and exactly thispotential as a linear combination of spatio-temporal interactions.The method is based on the Hammersley Clifford decomposition andon periodic orbits sampling. An explicit correspondence between theparameters of MaxEnt model and the parameters of Markovianmodels like the Generalized-Linear Model can be established. Wealso provide numerical results.
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Dates and versions

hal-01095760 , version 1 (16-12-2014)

Identifiers

  • HAL Id : hal-01095760 , version 1

Cite

Rodrigo Cofre, Bruno Cessac. Can We Hear the Shape of a Maximum Entropy Potential From Spike Trains?. Bernstein Conference 2015, Sep 2014, Goettingen, Germany. . ⟨hal-01095760⟩
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