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This paper presents a data-assimilation (DA)-based approach to forecast the phase-resolved wave evolution process and ship motion, which is developed by coupling the high-order spectral method (HOS), ensemble Kalman filter (EnKF), and a…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Guangyao Wang , Yulin Pan

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu

We present a novel sampling-based method for estimating probabilities of rare or failure events. Our approach is founded on the Ensemble Kalman filter (EnKF) for inverse problems. Therefore, we reformulate the rare event problem as an…

Numerical Analysis · Mathematics 2021-12-15 Fabian Wagner , Iason Papaioannou , Elisabeth Ullmann

Practical data assimilation algorithms often contain hyper-parameters, which may arise due to, for instance, the use of certain auxiliary techniques like covariance inflation and localization in an ensemble Kalman filter, the…

Computation · Statistics 2022-06-08 Xiaodong Luo , Chuan-An Xia

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…

Probability · Mathematics 2017-05-26 Andrew J. Majda , Xin T. Tong

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…

Methodology · Statistics 2022-06-06 Andrey A Popov , Adrian Sandu , Elias D. Nino-Ruiz , Geir Evensen

Ensemble Kalman Inversion (EnKI) and Ensemble Square Root Filter (EnSRF) are popular sampling methods for obtaining a target posterior distribution. They can be seem as one step (the analysis step) in the data assimilation method Ensemble…

Numerical Analysis · Mathematics 2025-03-07 Zhiyan Ding , Qin Li , Jianfeng Lu

The paper presents experiments of driving a physics-based thermosphere model by assimilating electron density (Ne) and temperature (Tn) data using the ensemble adjustment Kalman filter (EAKF) technique. This study not only helps to gauge…

Space Physics · Physics 2019-03-22 Timothy Kodikara , Kefei Zhang

Ensemble methods, such as the ensemble Kalman filter (EnKF), the local ensemble transform Kalman filter (LETKF), and the ensemble Kalman smoother (EnKS) are widely used in sequential data assimilation, where state vectors are of huge…

Probability · Mathematics 2019-01-03 El houcine Bergou , Serge Gratton , Jan Mandel

Rapid resource model updating with real-time data is important for making timely decisions in resource management and mining operations. This requires optimal merging of models and observations, which can be achieved through data…

Applications · Statistics 2025-06-03 Sultan Abulkhair , Peter Dowd , Chaoshui Xu , Penny Stewart

As the severity and occurrence of flood events tend to intensify with climate change, the need for flood forecasting capability increases. In this regard, the Flood Detection, Alert and rapid Mapping (FloodDAM) project, funded by Space for…

Image and Video Processing · Electrical Eng. & Systems 2023-01-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Christophe Fatras , Peter Kettig , Gwendoline Blanchet , Santiago Pena Luque , Simon Baillarin

The present research work proposes advancement for Data Assimilation strategies using Convolutional Neural Networks (CNN). More precisely, multi-fidelity and multi-level algorithms for the Ensemble Kalman Filter are enhanced by CNN tools,…

Fluid Dynamics · Physics 2025-07-21 Tom Moussie , Paolo Errante , Marcello Meldi

Data assimilation plays a pivotal role in understanding and predicting turbulent systems within geoscience and weather forecasting, where data assimilation is used to address three fundamental challenges, i.e., high-dimensionality,…

Atmospheric and Oceanic Physics · Physics 2025-01-23 Siming Liang , Hoang Tran , Feng Bao , Hristo G. Chipilski , Peter Jan van Leeuwen , Guannan Zhang

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…

Atmospheric and Oceanic Physics · Physics 2009-01-26 Jan Mandel

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.…

Applications · Statistics 2018-11-14 Sangeetika Ruchi , Svetlana Dubinkina

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…

Methodology · Statistics 2022-01-25 Jiangqi Wu , Linjie Wen , Peter L Green , Jinglai Li , Simon Maskell

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

A newly introduced stochastic data assimilation method, the Ensemble Kalman Filter Semi-Qualitative (EnKF-SQ) is applied to a realistic coupled ice-ocean model of the Arctic, the TOPAZ4 configuration, in a twin experiment framework. The…

Applications · Statistics 2020-01-08 Abhishek Shah , Laurent Bertino , Francois Counillon , Mohamad El Gharamti , Jiping Xie

Data assimilation is the task to combine evolution models and observational data in order to produce reliable predictions. In this paper, we focus on ensemble-based recursive data assimilation problems. Our main contribution is a hybrid…

Numerical Analysis · Mathematics 2016-02-26 Nawinda Chustagulprom , Sebastian Reich , Maria Reinhardt

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…

Methodology · Statistics 2021-05-13 Peiyi Zhang , Qifan Song , Faming Liang
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