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stat.ME2017★ 1 cited
A 4D-Var Method with Flow-Dependent Background Covariances for the Shallow-Water Equations
Daniel Paulin, Ajay Jasra, Alexandros Beskos +1
The 4D-Var method for filtering partially observed nonlinear chaotic dynamical systems consists of finding the maximum a-posteriori (MAP) estimator of the initial condition of the…
stat.ME2017
Optimization Based Methods for Partially Observed Chaotic Systems
Daniel Paulin, Ajay Jasra, Dan Crisan +1
In this paper we consider filtering and smoothing of partially observed chaotic dynamical systems that are discretely observed, with an additive Gaussian noise in the observation.…