2 papers
math.PR2026
McKean-Vlasov Equations for Large Networks of Neurons with Adaptive Asymmetric Edges
Daniele Avitabile, James MacLaurin
Classical Mckean-Vlasov theory concerns high-dimensional particle systems for which the effect of one particle on another is instantaneous. However in many applications, particular…
math.PR2024
Large Deviations of a Network of Neurons with Dynamic Sparse Random Connections
James MacLaurin
In this work we determine a process-level Large Deviation Principle (LDP) for a model of interacting particles indexed by a lattice . The connections are random, spar…