Dynamics seminar by Michel Davydov (Brown University) on 28th of March

On Thursday the 28th of March at 2pm, Michel Davydov (Brown University) will give an Amsterdam Dynamics seminar.

The talk will take place in the Maryam seminar room (9A-46).

Title: Propagation of chaos for replica-mean-field models and applications in computational neuroscience

Abstract: Neural computations between spiking neurons can be modeled as network dynamics with punctuate interactions. However, most relevant dynamics do not allow for computational tractability. To circumvent this difficulty, the Poisson Hypothesis regime replaces interaction times between neurons by Poisson processes, preserving the geometry of the underlying network and giving rise to tractability. After a short primer on intensity-based point process models, we will present the replica-mean-field approach, consisting in randomly interacting copies of the network of interest, and the Poisson Hypothesis, contrasting it with classical mean-field models. We will prove that the Poisson Hypothesis holds at the limit of an infinite number of replicas in the replica-mean-field model.