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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

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

Data assimilation (DA) is a key component of many forecasting models in science and engineering. DA allows one to estimate better initial conditions using an imperfect dynamical model of the system and noisy/sparse observations available…

机器学习 · 计算机科学 2023-02-01 Ashesh Chattopadhyay , Ebrahim Nabizadeh , Eviatar Bach , Pedram Hassanzadeh

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

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

This study considers the data assimilation problem in coupled systems, which consists of two components (sub-systems) interacting with each other through certain coupling terms. A straightforward way to tackle the assimilation problem in…

大气与海洋物理 · 物理学 2015-06-22 Xiaodong Luo , Ibrahim Hoteit

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

In this paper, we propose and develop a methodology for nonlinear systems health monitoring by modeling the damage and degradation mechanism dynamics as "slow" states that are augmented with the system "fast" dynamical states. This…

系统与控制 · 计算机科学 2017-10-17 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

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) (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…

We explore the potential of Data-Assimilation (DA) within the multi-scale framework of a shell model of turbulence, with a focus on the Ensemble Kalman Filter (EnKF). The central objective is to understand how measuring mesoscales (i.e.,…

流体动力学 · 物理学 2026-01-15 Francesco Fossella , Luca Biferale , Alberto Carrassi , Massimo Cencini , Vikrant Gupta

We present a new type of the EnKF for data assimilation in spatial models that uses diagonal approximation of the state covariance in the wavelet space to achieve adaptive localization. The efficiency of the new method is demonstrated on an…

动力系统 · 数学 2011-03-01 Jonathan D. Beezley , Jan Mandel , Loren Cobb

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 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

Working with a two-stage ice sheet model, we explore how statistical data assimilation methods can be used to improve predictions of glacier melt and relatedly, sea level rise. We find that the EnKF improves model runs initialized using…

动力系统 · 数学 2023-05-23 Emily Corcoran , Logan Knudsen , Talea Mayo , Hannah Park-Kaufmann , Alexander Robel

The use of model order reduction techniques in combination with ensemble-based methods for estimating the state of systems described by nonlinear partial differential equations has been of great interest in recent years in the data…

数值分析 · 数学 2024-12-18 Francesco A. B. Silva , Cecilia Pagliantini , Karen Veroy

Data assimilation (DA) aims to optimally combine model forecasts and observations that are both partial and noisy. Multi-model DA generalizes the variational or Bayesian formulation of the Kalman filter, and we prove that it is also the…

统计方法学 · 统计学 2023-01-23 Eviatar Bach , Michael Ghil

Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a prediction model, we consider a class of nonlinear dynamical…

统计理论 · 数学 2026-03-05 Kota Takeda , Takashi Sakajo

The Ensemble Kalman Filters (EnKF) employ a Monte-Carlo approach to represent covariance information, and are affected by sampling errors in operational settings where the number of model realizations is much smaller than the model state…

统计方法学 · 统计学 2022-06-06 Andrey A Popov , Adrian Sandu , Elias D. Nino-Ruiz , Geir Evensen
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