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相关论文: Morphing Ensemble Kalman Filters

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We propose a new type of the Ensemble Kalman Filter (EnKF), which uses the Fast Fourier Transform (FFT) for covariance estimation from a very small ensemble with automatic tapering, and for a fast computation of the analysis ensemble by…

大气与海洋物理 · 物理学 2011-08-01 Jan Mandel , Jonathan D. Beezley , Volodymyr Y. Kondratenko

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) 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 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.…

This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaining the mean of the particles. As a benchmark serves a…

最优化与控制 · 数学 2020-01-30 M. Schwenzer , G. Visconti , M. Ay , T. Bergs , M. Herty , D. Abel

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

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

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

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

The ensemble random forest filter (ERFF) is presented as an alternative to the ensemble Kalman filter (EnKF) for the purpose of inverse modeling. The EnKF is a data assimilation approach that forecasts and updates parameter estimates…

机器学习 · 计算机科学 2022-07-11 Vanessa A. Godoy , Gian F. Napa-García , J. Jaime Gómez-Hernández

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

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 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…

大气与海洋物理 · 物理学 2014-08-19 Xiaodong Luo , Ibrahim Hoteit

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

机器学习 · 统计学 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart

The intersection between classical data assimilation methods and novel machine learning techniques has attracted significant interest in recent years. Here we explore another promising solution in which diffusion models are used to…

数学物理 · 物理学 2024-04-02 Feng Bao , Hristo G. Chipilski , Siming Liang , Guannan Zhang , Jeffrey S. Whitaker

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

Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is particularly challenging when the state is high-dimensional and…

机器学习 · 统计学 2021-07-21 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

系统与控制 · 电气工程与系统科学 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

The ensemble Kalman filter (EnKF) is widely used for data assimilation in high-dimensional systems, but its performance often deteriorates for strongly nonlinear dynamics due to the structural mismatch between the Kalman update and the…

机器学习 · 计算机科学 2026-04-30 Xin T. Tong , Yanyan Wang , Liang Yan
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