2 citations · 2 across the 3 of their papers we have counts for
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The Hydrodynamic Limit of Neural Networks with Balanced Excitation and Inhibition
James MacLaurin, Pedro Vilanova
The theory of `Balanced Neural Networks' is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. We determine equations for the…
Large Deviations of Piecewise-Deterministic-Markov-Processes with Application to Stochastic Calcium Waves
Gaetan Barbet, James MacLaurin, Moshe Silverstein
We prove a Large Deviation Principle for Piecewise Deterministic Markov Processes (PDMPs). This is an asymptotic estimate for the probability of a trajectory in the large size limi…
Population Level Activity in Large Random Neural Networks
James MacLaurin, Moshe Silverstein, Pedro Vilanova
We determine limiting equations for large asymmetric `spin glass' networks. The initial conditions are not assumed to be independent of the disordered connectivity: one of the main…