Interacting Poisson Processes and Applications to Neural Modeling
نویسندگان
چکیده
We introduce a modification of the classical Hawkes’ processes in which also inhibitory connections between units are allowed. This formalism is used to model networks of neurons characterized by an exponential transfer function. The expected intensities of the process are approximated by a differential system of first-order and the stability of the solutions of this equation is studied. We discuss the relations to a class of generalised linear model used for the analysis of spike trains and we show how to use this formalism to implement a robust winner-takes-all network that operates on a wide range of parameters.
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