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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

In recent years, the prosperity of deep learning has revolutionized the Artificial Neural Networks. However, the dependence of gradients and the offline training mechanism in the learning algorithms prevents the ANN for further improvement.…

机器学习 · 计算机科学 2020-10-07 Chong Chen , Qinghui Xing , Xin Ding , Yaru Xue , Tianfu Zhong

Recent advances in data assimilation (DA) have focused on developing more flexible approaches that can better accommodate nonlinearities in models and observations. However, it remains unclear how the performance of these advanced methods…

大气与海洋物理 · 物理学 2025-05-08 Zixiang Xiong , Siming Liang , Feng Bao , Guannan Zhang , Hristo G. Chipilski

Deep Learners (DLs) are the state-of-art predictive mechanism with applications in many fields requiring complex high dimensional data processing. Although conventional DLs get trained via gradient descent with back-propagation, Kalman…

机器学习 · 统计学 2023-07-21 Ved Piyush , Yuchen Yan , Yuzhen Zhou , Yanbin Yin , Souparno Ghosh

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

The feasibility of global ocean state estimation by sequential data assimilation is demonstrated. The model componenet of the assimilator is the GROB version of the MPIMET ocean circulation model HOPE. Assimilation uses the Fokker-Planck…

大气与海洋物理 · 物理学 2007-05-23 Konstantin P. Belyaev , Detlev Mueller

Data assimilation methods aim at estimating the state of a system by combining observations with a physical model. When sequential data assimilation is considered, the joint distribution of the latent state and the observations is described…

统计方法学 · 统计学 2018-04-23 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet , Pierre Tandeo

A thermal convection loop is a annular chamber filled with water, heated on the bottom half and cooled on the top half. With sufficiently large forcing of heat, the direction of fluid flow in the loop oscillates chaotically, dynamics…

Data assimilation (DA) estimates a dynamical system's state from noisy observations. Recent generative models like the ensemble score filter (EnSF) improve DA in high-dimensional nonlinear settings but are computationally expensive. We…

机器学习 · 统计学 2025-09-30 Taos Transue , Bohan Chen , So Takao , Bao Wang

Data assimilation, defined as the fusion of data with preexisting knowledge, is particularly suited to elucidating underlying phenomena from noisy/insufficient observations. Although this approach has been widely used in diverse fields,…

神经元与认知 · 定量生物学 2017-08-18 Lara Escuain-Poole , Jordi Garcia-Ojalvo , Antonio J. Pons

Data assimilation is a method that combines observations (that is, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model…

数值分析 · 数学 2020-05-18 Melina A. Freitag

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 Ensemble Kalman filter assumes the observations to be Gaussian random variables with a pre-specified mean and variance. In practice, observations may also have detection limits, for instance when a gauge has a minimum or maximum value.…

最优化与控制 · 数学 2018-11-14 Abhishek Shah , Mohamad El Gharamti , Laurent Bertino

Accurate estimation and forecasting of energy consumption are important for power-system operation, planning, and demand-side management. In practice, however, complete and timely measurements may not always be available, and the observed…

机器学习 · 计算机科学 2026-05-29 Ruoyu Hu , Dahai Yu , Feng Bao , Guang Wang , Guannan Zhang

A data-driven investigation of the flow around a high-rise building is performed combining heterogeneous experimental samples and RANS CFD. The coupling is performed using techniques based on the Ensemble Kalman Filter (EnKF), including…

流体动力学 · 物理学 2023-01-27 Lucas Villanueva , Miguel Martinez Valero , Anina Sarkic Glumac , Marcello Meldi

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

统计方法学 · 统计学 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani

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 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…

This study presents a novel approach to applying data assimilation techniques for particle-based simulations using the Ensemble Kalman Filter. While data assimilation methods have been effectively applied to Eulerian simulations, their…

数值分析 · 数学 2024-12-10 Marius Duvillard , Loïc Giraldi , Olivier Le Maître

The ensemble data assimilation of computational fluid dynamics simulations based on the lattice Boltzmann method (LBM) and the local ensemble transform Kalman filter (LETKF) is implemented and optimized on a GPU supercomputer based on…

流体动力学 · 物理学 2023-08-08 Yuta Hasegawa , Toshiyuki Imamura , Takuya Ina , Naoyuki Onodera , Yuuichi Asahi , Yasuhiro Idomura