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Although data assimilation originates from control theory, the relationship between modern data assimilation methods in geoscience and model predictive control has not been extensively explored. In the present paper, I discuss that the…

Geophysics · Physics 2024-10-21 Yohei Sawada

To be able to produce accurate and reliable predictions of visibility has crucial importance in aviation meteorology, as well as in water- and road transportation. Nowadays, several meteorological services provide ensemble forecasts of…

Applications · Statistics 2024-01-25 Sándor Baran , Mária Lakatos

Standard methods of data assimilation assume prior knowledge of a model that describes the system dynamics and an observation function that maps the model state to a predicted output. An accurate mapping from model state to observation…

Dynamical Systems · Mathematics 2019-05-22 Franz Hamilton , Tyrus Berry , Timothy Sauer

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

Ensemble data assimilation in flood forecasting depends strongly on the density, frequency and statistics of errors associated with the observation network. This work focuses on the assimilation of 2D flood extent data, expressed in terms…

Image and Video Processing · Electrical Eng. & Systems 2023-05-24 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Raquel Rodriguez Suquet , Gwendoline Blanchet , Santiago Pena Luque , Peter Kettig

A thermal convection loop is a circular 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, forming an…

Dynamical Systems · Mathematics 2016-06-24 Andrew J. Reagan

Machine learning (ML) has often been applied to space weather (SW) problems in recent years. SW originates from solar perturbations and is comprised of the resulting complex variations they cause within the systems between the Sun and…

Machine Learning · Computer Science 2022-01-07 Richard J. Licata , Piyush M. Mehta

Continuous data assimilation (CDA) is a method that continuously integrates observational data into a dynamical system to improve model accuracy in real-time. The AOT algorithm is one of the most widely used methods in CDA due to its…

Optimization and Control · Mathematics 2024-07-25 Ning Ning , Collin Victor

Because of physical assumptions and numerical approximations, low-order models are affected by uncertainties in the state and parameters, and by model biases. Model biases, also known as model errors or systematic errors, are difficult to…

Methodology · Statistics 2024-10-10 Andrea Nóvoa , Alberto Racca , Luca Magri

A discrete-time conditional Gaussian Koopman network (CGKN) is developed in this work to learn surrogate models that can perform efficient state forecast and data assimilation (DA) for high-dimensional complex dynamical systems, e.g.,…

Machine Learning · Computer Science 2025-08-19 Chuanqi Chen , Zhongrui Wang , Nan Chen , Jin-Long Wu

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald

Ultra-rapid data assimilation (URDA) is a method that rapidly updates preemptive forecasts derived from observations without integrating a dynamical model each time additional observations become available. Due to its computational…

Geophysics · Physics 2026-05-19 Fumitoshi Kawasaki , Atsushi Okazaki , Kenta Kurosawa , Shunji Kotsuki

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

Quantum Machine Learning (QML) presents as a revolutionary approach to weather forecasting by using quantum computing to improve predictive modeling capabilities. In this study, we apply QML models, including Quantum Gated Recurrent Units…

Quantum Physics · Physics 2025-09-15 Saiyam Sakhuja , Shivanshu Siyanwal , Abhishek Tiwari , Britant , Savita Kashyap

A chained hydrologic-hydraulic model is implemented using predicted runoff from a large-scale hydrologic model (namely ISBA-CTRIP) as inputs to local hydrodynamic models (TELEMAC-2D) to issue forecasts of water level and flood extent. The…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Thanh Huy Nguyen , Andrea Piacentini , Sophie Ricci , Ludovic Cassan , Simon Munier , Quentin Bonassies , Raquel Rodriguez-Suquet

With the rapid development of data-driven machine learning (ML) models in meteorology, typhoon track forecasts have become increasingly accurate. However, current ML models still face challenges, such as underestimating typhoon intensity…

Atmospheric and Oceanic Physics · Physics 2024-08-26 Zeyi Niu , Wei Huang , Lei Zhang , Lin Deng , Haibo Wang , Yuhua Yang , Dongliang Wang , Hong Li

While the formulation of most data assimilation schemes assumes an unbiased observation model error, in real applications, model error with nontrivial biases is unavoidable. A practical example is the error in the radiative transfer model…

Methodology · Statistics 2016-11-17 John Harlim , Tyrus Berry

We develop multiple Deep Learning (DL) models that advance the state-of-the-art predictions of the global auroral particle precipitation. We use observations from low Earth orbiting spacecraft of the electron energy flux to develop a model…

Machine Learning · Computer Science 2021-12-01 Jack Ziegler , Ryan M. Mcgranaghan

Reconstruction of turbulent flow based on data assimilation methods is of significant importance for improving the estimation of flow characteristics by incorporating limited observations. Existing works mainly focus on using only one…

Fluid Dynamics · Physics 2021-03-30 Xin-Lei Zhang , Heng Xiao , Guo-Wei He , Shi-Zhao Wang

The control of spatio-temporally chaos is challenging because of high dimensionality and unpredictability. Model-free reinforcement learning (RL) discovers optimal control policies by interacting with the system, typically requiring…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Defne E. Ozan , Andrea Nóvoa , Georgios Rigas , Luca Magri