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An Ensemble Kalman Filter (EnKF, the predictor) is used make a large change in the state, followed by a Particle Filer (PF, the corrector) which assigns importance weights to describe non-Gaussian distribution. The weights are obtained by…

统计计算 · 统计学 2009-07-20 Jan Mandel , Jonathan D. Beezley

We propose a novel exponentially-modified Gaussian (EMG) mixture residual model. The EMG mixture is well suited to model residuals that are contaminated by a distribution with positive support. This is in contrast to commonly used robust…

机器学习 · 统计学 2019-02-18 Sebastian Ament , John Gregoire , Carla Gomes

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 particle filter (PF) and the ensemble Kalman filter (EnKF) are widely used for approximate inference in state-space models. From a Bayesian perspective, these algorithms represent the prior by an ensemble of particles and update it to…

统计方法学 · 统计学 2025-02-11 Chengxin Gong , Wei Lin , Cheng Zhang

Massive multiple-input multiple-output (MIMO) communication systems have drawn significant interest recently in next-generation wireless communications. The use of a large number of antennas in massive MIMO makes the estimation of channel…

信号处理 · 电气工程与系统科学 2022-11-03 Anu T. S. , Tara Raveendran

Particle filters (also called sequential Monte Carlo methods) are widely used for state and parameter estimation problems in the context of nonlinear evolution equations. The recently proposed ensemble transform particle filter (ETPF)…

数值分析 · 数学 2017-04-11 Walter Acevedo , Jana de Wiljes , Sebastian Reich

Real-time nonlinear Bayesian filtering algorithms are overwhelmed by data volume, velocity and increasing complexity of computational models. In this paper, we propose a novel ensemble based nonlinear Bayesian filtering approach which only…

统计计算 · 统计学 2019-06-05 Xiao Lin , Gabriel Terejanu

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

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 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

Many real-world problems require one to estimate parameters of interest, in a Bayesian framework, from data that are collected sequentially in time. Conventional methods for sampling from posterior distributions, such as {Markov Chain Monte…

统计方法学 · 统计学 2022-01-25 Jiangqi Wu , Linjie Wen , Peter L Green , Jinglai Li , Simon Maskell

Ensemble Kalman filter (EnKF) has been widely used in state estimation and parameter estimation for the dynamic system where observational data is obtained sequentially in time. To reduce uncertainty and accelerate posterior inference, a…

数值分析 · 数学 2018-11-14 Yuming Ba , Lijian Jiang , Na Ou

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

This work introduces a new, distributed implementation of the Ensemble Kalman Filter (EnKF) that allows for non-sequential assimilation of large datasets in high-dimensional problems. The traditional EnKF algorithm is computationally…

机器学习 · 统计学 2023-11-23 Cédric Travelletti , Jörg Franke , David Ginsbourger , Stefan Brönnimann

Data assimilation combines information from models, measurements, and priors to estimate the state of a dynamical system such as the atmosphere. The Ensemble Kalman filter (EnKF) is a family of ensemble-based data assimilation approaches…

计算工程、金融与科学 · 计算机科学 2014-12-09 Ahmed Attia , Adrian Sandu

The Ensemble Kalman Filter (EnKF) is a popular estimation technique in the geosciences. It is used as a numerical tool for state vector prognosis and parameter estimation. The EnKF can, for example, help to evaluate the geothermal potential…

应用统计 · 统计学 2018-09-17 Johannes Keller , Harrie-Jan Hendricks Franssen , Gabriele Marquart

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 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

Despite the cheap availability of computing resources enabling faster Monte Carlo simulations, the potential benefits of particle filtering in revealing accurate statistical information on the imprecisely known model parameters or modeling…

统计方法学 · 统计学 2014-02-07 Saikat Sarkar , Debasish Roy

The Ensemble Kalman Filter (EnKF) has achieved great successes in data assimilation in atmospheric and oceanic sciences, but its failure in convergence to the right filtering distribution precludes its use for uncertainty quantification. We…

统计方法学 · 统计学 2021-05-13 Peiyi Zhang , Qifan Song , Faming Liang