Large sample asymptotics for the ensemble Kalman filter

F Le Gland, V Monbet, VD Tran - 2009 - inria.hal.science
The ensemble Kalman filter (EnKF) has been proposed as a Monte Carlo, derivative-… Kalman
filter, and is now widely used in sequential data assimilation, where state vectors of huge

[图书][B] Efficient implementation of the ensemble Kalman filter

J Mandel - 2006 - researchgate.net
… (57)] discusses a method using SVD, with the same asymptotic cost, but requiring the data …
Mandel, A two-stage ensemble Kalman filter for smooth data assimilation. Environmental and …

Asymptotic convergence of the ensemble Kalman filter

MD Butala, J Yun, Y Chen, RA Frazin… - 2008 15th IEEE …, 2008 - ieeexplore.ieee.org
… Monte Carlo state estimation procedure called the ensemble Kalman filter (EnKF) [4], … large.
This is accomplished by recursively updating an ensemble of samples such that the sample

Data assimilation with the weighted ensemble Kalman filter

N Papadakis, É Mémin, A Cuzol… - Tellus A: Dynamic …, 2010 - Taylor & Francis
… Carlo sampling are studied and compared: the ensemble Kalman filter and the particle filter.
… In this section, the basic theory on ensemble Kalman filters and particle filters are recalled, …

Ensemble Kalman filters with resampling

O Al-Ghattas, J Bao, D Sanz-Alonso - SIAM/ASA Journal on Uncertainty …, 2024 - SIAM
… These algorithms rely on an ensemble of interacting particles … Despite the practical success
of ensemble Kalman filters, … This paper investigates ensemble Kalman filters that incorporate …

[PDF][PDF] Large Sample Asymptotics for the Ensemble Kalman Filter

FLGV Monbet—Vu, D Tran - 2009 - Citeseer
… in the ensemble Kalman filter. Collectively, the large sample asymptotics of the substitute
iid … In contrast, the elements in the ensemble Kalman filter are dependent, because they all …

Bridging the ensemble Kalman and particle filters

M Frei, HR Künsch - Biometrika, 2013 - academic.oup.com
… Our approach is to use an ensemble Kalman filter update to go from π p … large. If the linear
algebra is carefully implemented, the ensemble Kalman particle filter has the same asymptotic

Deterministic mean-field ensemble Kalman filtering

KJH Law, H Tembine, R Tempone - SIAM Journal on Scientific Computing, 2016 - SIAM
… the standard ensemble Kalman filter (EnKF) from Le Gland, Monbet, and Tran [Large sample
asymptotics for the ensemble Kalman filter, in The Oxford Handbook of Nonlinear Filtering, …

Convergence of the square root ensemble Kalman filter in the large ensemble limit

E Kwiatkowski, J Mandel - SIAM/ASA Journal on Uncertainty Quantification, 2015 - SIAM
… Since we are interested in large ensemble asymptotics and the linear case, localization and
… understanding ensemble filters is a law of large numbers as the size of the ensemble grows …

[HTML][HTML] The Ensemble Kalman filter: a signal processing perspective

M Roth, G Hendeby, C Fritsche… - EURASIP Journal on …, 2017 - Springer
… The ensemble Kalman filter (EnKF) is a Monte Carlo-based implementation of the Kalman
filter (KF) for extremely high-dimensional, possibly … 4.1 Asymptotic convergence results …