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Contemporary data assimilation often involves more than a million prediction variables. Ensemble Kalman filters (EnKF) have been developed by geoscientists. They are successful indispensable tools in science and engineering, because they…

概率论 · 数学 2017-05-26 Andrew J. Majda , Xin T. Tong

Parameter estimation has a high importance in the geosciences. The ensemble Kalman filter (EnKF) allows parameter estimation for large, time-dependent systems. For large systems, the EnKF is applied using small ensembles, which may lead to…

应用统计 · 统计学 2021-08-05 Johannes Keller , Harrie-Jan Hendricks Franssen , Wolfgang Nowak

The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential equations in geophysical models. The EnKF originated as a version of the Kalman…

大气与海洋物理 · 物理学 2009-01-26 Jan Mandel

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

统计方法学 · 统计学 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

统计方法学 · 统计学 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

Ensemble Kalman filter (EnKF) is an important data assimilation method for high dimensional geophysical systems. Efficient implementation of EnKF in practice often involves the localization technique, which updates each component using only…

概率论 · 数学 2018-04-04 Xin T. Tong

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

应用统计 · 统计学 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

数值分析 · 数学 2016-09-21 Claudia Schillings , Andrew M. Stuart

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction (NWP). There is a growing interest for physical models…

应用统计 · 统计学 2018-08-01 Sylvain Robert , Hans R. Künsch

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

应用统计 · 统计学 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch

This paper develops efficient ensemble Kalman filter (EnKF) implementations based on shrinkage covariance estimation. The forecast ensemble members at each step are used to estimate the background error covariance matrix via the…

统计理论 · 数学 2015-02-03 Elias D. Nino-Ruiz , Adrian Sandu

Data assimilation plays a key role in large-scale atmospheric weather forecasting, where the state of the physical system is estimated from model outputs and observations, and is then used as initial condition to produce accurate future…

统计方法学 · 统计学 2018-02-13 Azam Moosavi , Ahmed Attia , Adrian Sandu

Ensemble Kalman filtering (EnKF) is an efficient approach to addressing uncertainties in subsurface groundwater models. The EnKF sequentially integrates field data into simulation models to obtain a better characterization of the model's…

数据分析、统计与概率 · 物理学 2015-11-09 Boujemaa Ait-El-Fquih , Mohamad El Gharamti , Ibrahim Hoteit

The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been little analysis of its theoretical properties. Many of the algorithmic innovations…

概率论 · 数学 2015-06-17 D. T. B. Kelly , K. J. H. Law , A. M. Stuart

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

统计方法学 · 统计学 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

The ensemble Kalman filter (EnKF) is widely used to sample a probability density function (pdf) generated by a stochastic model conditioned by noisy data. This pdf can be either a joint posterior that describes the evolution of the state of…

数据分析、统计与概率 · 物理学 2016-08-08 Matthias Morzfeld , Daniel Hodyss

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

Over the years data assimilation methods have been developed to obtain estimations of uncertain model parameters by taking into account a few observations of a model state. The most reliable methods of MCMC are computationally expensive.…

应用统计 · 统计学 2018-11-14 Sangeetika Ruchi , Svetlana Dubinkina

State-of-the-art ensemble Kalman filtering (EnKF) algorithms require incorporating localization techniques to cope with the rank deficiency and the inherited spurious correlations in their error covariance matrices. Localization techniques…

大气与海洋物理 · 物理学 2026-03-05 Boujemaa Ait-El-Fquih , Ibrahim Hoteit

The iterative ensemble Kalman filter (IEnKF) in a deterministic framework was introduced in Sakov et al. (2012) to extend the ensemble Kalman filter (EnKF) and improve its performance in mildly up to strongly nonlinear cases. However, the…

大气与海洋物理 · 物理学 2018-10-17 Pavel Sakov , Jean-Matthieu Haussaire , Marc Bocquet
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