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Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

数值分析 · 数学 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

Concurrent observation technologies have made high-precision real-time data available in large quantities. Data assimilation (DA) is concerned with how to combine this data with physical models to produce accurate predictions. For…

数值分析 · 数学 2020-08-26 Jana de Wiljes , Xin T. Tong

Data assimilation combines information from physical observations and numerical simulation results to obtain better estimates of the state and parameters of a physical system. A wide class of physical systems of interest have solutions that…

最优化与控制 · 数学 2025-05-02 Amit N. Subrahmanya , Adrian Sandu

The use of data assimilation for the merging of observed data with dynamical models is becoming standard in modern physics. If a parametric model is known, methods such as Kalman filtering have been developed for this purpose. If no model…

数据分析、统计与概率 · 物理学 2018-01-17 Franz Hamilton , Tyrus Berry , Timothy Sauer

Data assimilation combines dynamical models with observations to improve state estimates. Ensemble filters sequentially assimilate observations by updating a set of samples over time, alternating between a forecast and an analysis step.…

统计计算 · 统计学 2026-05-26 Mathieu Le Provost , Jan Glaubitz , Youssef Marzouk

Data assimilation (DA) integrates numerical model forecasts with observations to achieve the optimal state estimation. Ensemble-based methods, such as the ensemble Kalman filter (EnKF), are widely used for state estimation for…

大气与海洋物理 · 物理学 2026-05-25 Zhou Yao , Zhilin Li , Li Zhao , Zeng Liu , Zhaokuan Lu , Seungnam Kim , Guangyao Wang

Filtering is concerned with online estimation of the state of a dynamical system from partial and noisy observations. In applications where the state of the system is high dimensional, ensemble Kalman filters are often the method of choice.…

系统与控制 · 电气工程与系统科学 2024-07-30 Omar Al Ghattas , Jiajun Bao , Daniel Sanz-Alonso

We explore the potential of three-dimensional data assimilation for assimilating sparsely-distributed 2-metre temperature observations across the coupled atmosphere-land interface into the soil moisture. Using idealised twin experiments…

大气与海洋物理 · 物理学 2022-09-29 Tobias Finn , Gernot Geppert , Felix Ament

Data assimilation techniques, such as ensemble Kalman filtering, have been shown to be a highly effective and efficient way to combine noisy data with a mathematical model to track and forecast dynamical systems. However, when dealing with…

动力系统 · 数学 2023-05-17 Stephen A Falconer , David J. B. Lloyd , Naratip Santitissadeekorn

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

IIn recent years, there has been a growing interest in applying data assimilation (DA) methods, originally designed for state estimation, to the model selection problem. In this setting, Carrassi et al. (2017) introduced the contextual…

统计方法学 · 统计学 2018-10-10 Sammy Metref , Alexis Hannart , Juan Ruiz , Marc Bocquet , Alberto Carrassi , Michael Ghil

Ensemble Kalman methods were initially developed to solve nonlinear data assimilation problems in oceanography, but are now popular in applications far beyond their original use cases. Of particular interest is climate model calibration. As…

数据分析、统计与概率 · 物理学 2025-11-21 Rebecca Gjini , Matthias Morzfeld , Oliver R. A. Dunbar , Tapio Schneider

We show that modifying a Bayesian data assimilation scheme by incorporating kinematically-consistent displacement corrections produces a scheme that is demonstrably better at estimating partially observed state vectors in a setting where…

数据分析、统计与概率 · 物理学 2016-12-06 W. Steven Rosenthal , Shankar C. Venkataramani , Arthur J. Mariano , Juan M. Restrepo

Data assimilation (DA) combines partial observations with dynamical models to improve state estimation. Filter-based DA uses only past and present data and is the prerequisite for real-time forecasts. Smoother-based DA exploits both past…

系统与控制 · 电气工程与系统科学 2026-01-21 Marios Andreou , Nan Chen , Yingda Li

In recent years, several ensemble-based filtering methods have been proposed and studied. The main challenge in such procedures is the updating of a prior ensemble to a posterior ensemble at every step of the filtering recursions. In the…

统计方法学 · 统计学 2019-04-11 Margrethe Kvale Loe , Håkon Tjelmeland

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

Prediction of chaotic systems relies on a floating fusion of sensor data (observations) with a numerical model to decide on a good system trajectory and to compensate nonlinear feedback effects. Ensemble-based data assimilation (DA) is a…

计算工程、金融与科学 · 计算机科学 2020-11-26 Sebastian Friedemann , Bruno Raffin

There has been a recent surge in development of accurate machine learning (ML) weather prediction models, but evaluation of these models has mainly been focused on medium-range forecasts, not their performance in cycling data assimilation…

大气与海洋物理 · 物理学 2024-12-25 Laura C. Slivinski , Jeffrey S. Whitaker , Sergey Frolov , Timothy A. Smith , Niraj Agarwal

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

数值分析 · 数学 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

The filtering distribution captures the statistics of the state of a dynamical system from partial and noisy observations. Classical particle filters provably approximate this distribution in quite general settings; however they behave…

统计理论 · 数学 2025-02-10 Edoardo Calvello , Pierre Monmarché , Andrew M. Stuart , Urbain Vaes