Multilevel Ensemble Kalman–Bucy Filters
Multilevel Ensemble Kalman–Bucy Filters
.In this article we consider the linear filtering problem in continuous time. We develop and apply multilevel Monte Carlo (MLMC) strategies for ensemble Kalman–Bucy filters (EnKBFs). These filters can be viewed as approximations of conditional McKean–Vlasov-type diffusion processes. They are also interpreted as the continuous-time analogue of the ensemble Kalman …