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Robust Ensemble Filtering and Its Relation to Covariance Inflation in the Ensemble Kalman Filter
Publisher: American Meteorological Society
Abstract: robust ensemble filtering scheme based on the H∞ filtering theory is proposed. The optimal H∞ filter is derived by minimizing the supremum (or maximum) of a predefined cost function, a criterion different from the minimum ...
Ensemble Kalman Filtering with Residual Nudging: An Extension to State Estimation Problems with Nonlinear Observation Operators
Publisher: American Meteorological Society
Abstract: he ensemble Kalman filter (EnKF) is an efficient algorithm for many data assimilation problems. In certain circumstances, however, divergence of the EnKF might be spotted. In previous studies, the authors proposed an ...
Covariance Inflation in the Ensemble Kalman Filter: A Residual Nudging Perspective and Some Implications
Publisher: American Meteorological Society
Abstract: his article examines the influence of covariance inflation on the distance between the measured observation and the simulated (or predicted) observation with respect to the state estimate. In order for the aforementioned ...
Ensemble Kalman Filtering with a Divided State-Space Strategy for Coupled Data Assimilation Problems
Publisher: American Meteorological Society
Abstract: his study considers the data assimilation problem in coupled systems, which consists of two components (subsystems) interacting with each other through certain coupling terms. A straightforward way to tackle the assimilation ...
Particle Kalman Filtering: A Nonlinear Bayesian Framework for Ensemble Kalman Filters
Publisher: American Meteorological Society
Abstract: his paper investigates an approximation scheme of the optimal nonlinear Bayesian filter based on the Gaussian mixture representation of the state probability distribution function. The resulting filter is similar to the ...
An Adjoint-Based Adaptive Ensemble Kalman Filter
Publisher: American Meteorological Society
Abstract: new hybrid ensemble Kalman filter/four-dimensional variational data assimilation (EnKF/4D-VAR) approach is introduced to mitigate background covariance limitations in the EnKF. The work is based on the adaptive EnKF (AEnKF) ...