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Solving complex fluid-structure interaction (FSI) problems, which are described by nonlinear partial differential equations, is crucial in various scientific and engineering applications. Traditional computational fluid dynamics based…

Computational Physics · Physics 2023-03-24 Xiantao Fan , Jian-Xun Wang

A novel strategy is proposed to improve the accuracy of state estimation and reconstruction from low-fidelity models and sparse data from sensors. This strategy combines ensemble Data Assimilation (DA) and Machine Learning (ML) tools,…

Fluid Dynamics · Physics 2025-01-31 Miguel M. Valero , Marcello Meldi

We present a supervised learning method to learn the propagator map of a dynamical system from partial and noisy observations. In our computationally cheap and easy-to-implement framework a neural network consisting of random feature maps…

Machine Learning · Computer Science 2021-10-27 Georg A. Gottwald , Sebastian Reich

In-situ ocean wave observations are critical to improve model skill and validate remote sensing wave measurements. Historically, such observations are extremely sparse due to the large costs and complexity of traditional wave buoys and…

Atmospheric and Oceanic Physics · Physics 2020-03-11 Pieter B. Smit , Isabel A. Houghton , Kalina Jordanova , Thomas Portwood , Evan Shapiro , David Clark , Michael Sosa , Tim T. Janssen

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…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Marios Andreou , Nan Chen , Yingda Li

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

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…

Numerical Analysis · Mathematics 2020-05-18 Melina A. Freitag

With the rapid advancements in observational technologies and the widespread implementation of large-scale sky surveys, diverse electromagnetic wave data (e.g., optical and infrared) and non-electromagnetic wave data (e.g., gravitational…

Instrumentation and Methods for Astrophysics · Physics 2026-03-03 Wujun Shao , Dongwei Fan , Chenzhou Cui , Yunfei Xu , Shirui Wei , Xin Lyu

Climate change results in an increased probability of extreme weather events that put societies and businesses at risk on a global scale. Therefore, near real-time mapping of natural hazards is an emerging priority for the support of…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Johannes Jakubik , Michal Muszynski , Michael Vössing , Niklas Kühl , Thomas Brunschwiler

The proper determination of soil moisture on different scales is important for applications in a variety of fields. We aim to develop a high-level soil moisture product with high temporal and spatial resolution by assimilating the…

Atmospheric and Oceanic Physics · Physics 2021-04-21 J. Vural , S. Schneider , B. Bauer-Marschallinger , K. Haslinger

Errors in the representation of clouds in convection-permitting numerical weather prediction models can be introduced by different sources. These can be the forcing and boundary conditions, the representation of orography, the accuracy of…

Atmospheric and Oceanic Physics · Physics 2022-03-14 Stefanie Legler , Tijana Janjic

Data assimilation is uniquely challenging in weather forecasting due to the high dimensionality of the employed models and the nonlinearity of the governing equations. Although current operational schemes are used successfully, our…

Atmospheric and Oceanic Physics · Physics 2018-05-09 Lea Oljača , Jochen Bröcker , Tobias Kuna

Data assimilation is a core component of numerical weather prediction systems. The large quantity of data processed during assimilation requires the computation to be distributed across increasingly many compute nodes, yet existing…

Machine Learning · Computer Science 2025-01-15 Oscar Key , So Takao , Daniel Giles , Marc Peter Deisenroth

Variational data assimilation is a technique for combining measured data with dynamical models. It is a key component of Earth system state estimation and is commonly used in weather and ocean forecasting. The approach involves a…

Numerical Analysis · Mathematics 2026-04-30 I. Daužickaitė , M. A. Freitag , S. Gürol , A. S. Lawless , A. Ramage , J. A. Scott , J. M. Tabeart

Multi-source precipitation products (MSPs) from satellite retrievals and reanalysis are widely used for hydroclimatic monitoring, yet spatially heterogeneous biases and limited skill for extremes still constrain their hydrologic utility.…

Machine Learning · Computer Science 2026-02-05 Yuchen Ye , Zixuan Qi , Shixuan Li , Wei Qi , Yanpeng Cai , Chaoxia Yuan

Air pollution has emerged as a major public health challenge in megacities. Numerical simulations and single-site machine learning approaches have been widely applied in air quality forecasting tasks. However, these methods face multiple…

Machine Learning · Computer Science 2025-06-10 Zhixin Geng , Xu Fan , Xiqiao Lu , Yan Zhang , Guangyuan Yu , Cheng Huang , Qian Wang , Yuewu Li , Weichun Ma , Qi Yu , Libo Wu , Hao Li

Fitting nonlinear dynamical models to sparse and noisy observations is fundamentally challenging. Identifying dynamics requires data assimilation (DA) to estimate system states, but DA requires an accurate dynamical model. To break this…

Machine Learning · Computer Science 2024-09-12 Vadim Zinchenko , David S. Greenberg

Over the past few years, machine learning-based data-driven weather prediction has been transforming operational weather forecasting by providing more accurate forecasts while using a mere fraction of computing power compared to traditional…

Atmospheric and Oceanic Physics · Physics 2025-08-27 Zekun Ni , Jonathan Weyn , Hang Zhang , Yanfei Xiang , Jiang Bian , Weixin Jin , Kit Thambiratnam , Qi Zhang , Haiyu Dong , Hongyu Sun

Time series analysis plays a vital role in fields such as finance, healthcare, industry, and meteorology, underpinning key tasks including classification, forecasting, and anomaly detection. Although deep learning models have achieved…

Machine Learning · Computer Science 2025-12-17 Da Zhang , Bingyu Li , Zhiyuan Zhao , Feiping Nie , Junyu Gao , Xuelong Li

Recent advancements in Deep Learning (DL) for Direction of Arrival (DOA) estimation have highlighted its superiority over traditional methods, offering faster inference, enhanced super-resolution, and robust performance in low…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Honglei Chen , Mojtaba Soltanalian , Jian Li