2 citations · 2 across the 9 of their papers we have counts for
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Guided filtering and smoothing for infinite-dimensional diffusions
Thorben Pieper-Sethmacher, Daniele Avitabile, Frank van der Meulen
We consider the filtering and smoothing problems for an infinite-dimensional diffusion process X, observed through a finite-dimensional representation at discrete points in time. A…
Poisson Hypothesis and large-population limit for networks of spiking neurons
Daniele Avitabile, Michel Davydov
We study mean-field descriptions for spatially-extended networks of linear (leaky) and quadratic integrate-and-fire neurons with stochastic spiking times. We consider large-populat…
Neural Fields and Noise-Induced Patterns in Neurons on Large Disordered Networks
Daniele Avitabile, James MacLaurin
We study pattern formation in class of a large-dimensional neural networks posed on random graphs and subject to spatio-temporal stochastic forcing. Under generic conditions on cou…