3 papers
stat.CO2026
On a class of constrained particle filters for continuous-discrete state space models
Utku Erdogan, Gabriel J. Lord, Joaquin Miguez
Particle filters (PFs) are recursive Monte Carlo algorithms for Bayesian tracking and prediction in state space models. This paper addresses continuous-discrete filtering problems,…
math.NA2025
Stochastic collocation schemes for Neural Field Equations with random data
Daniele Avitabile, Francesca Cavallini, Svetlana Dubinkina +1
We develop and analyse numerical schemes for uncertainty quantification in neural field equations subject to random parametric data in the synaptic kernel, firing rate, external st…
math.NA2025
Neural Field Equations with random data
Daniele Avitabile, Francesca Cavallini, Svetlana Dubinkina +1
We study neural field equations, which are prototypical models of large-scale cortical activity, subject to random data. We view this spatially-extended, nonlocal evolution equatio…