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The accuracy of simulation-based forecasting in chaotic systems is heavily dependent on high-quality estimates of the system state at the time the forecast is initialized. Data assimilation methods are used to infer these initial conditions…

Machine Learning · Computer Science 2021-11-02 Michael McCabe , Jed Brown

Data assimilation combines prior (or background) information with observations to estimate the initial state of a dynamical system over a given time-window. A common application is in numerical weather prediction where a previous forecast…

Optimization and Control · Mathematics 2021-07-27 Coralia Cartis , Maha H. Kaouri , Amos S. Lawless , Nancy K. Nichols

Accurate estimation of error covariances (both background and observation) is crucial for efficient observation compression approaches in data assimilation of large-scale dynamical problems. We propose a new combination of a covariance…

Numerical Analysis · Mathematics 2021-06-11 Sibo Cheng , Didier Lucor , Jean-Philippe Argaud

Extreme weather amplified by climate change is causing increasingly devastating impacts across the globe. The current use of physics-based numerical weather prediction (NWP) limits accuracy due to high computational cost and strict…

The majority of signal data captured in the real world uses numerous sensors with different resolutions. In practice, however, most deep learning architectures are fixed-resolution; they consider a single resolution at training time and…

Machine Learning · Computer Science 2024-12-10 Léa Demeule , Mahtab Sandhu , Glen Berseth

FourCastNet, short for Fourier Forecasting Neural Network, is a global data-driven weather forecasting model that provides accurate short to medium-range global predictions at $0.25^{\circ}$ resolution. FourCastNet accurately forecasts…

Flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation. Such an approach combines in-situ gauge measurements with numerical hydrodynamic models to correct the hydraulic states and reduce…

Image and Video Processing · Electrical Eng. & Systems 2022-02-07 Thanh Huy Nguyen , Sophie Ricci , Christophe Fatras , Andrea Piacentini , Anthéa Delmotte , Emeric Lavergne , Peter Kettig

This paper is a contribution in the context of variational data assimilation combined with statistical learning. The framework of data assimilation traditionally uses data collected at sensor locations in order to bring corrections to a…

Numerical Analysis · Mathematics 2023-05-09 Amina Benaceur , Barbara Verfürth

Data assimilation refers to the problem of finding trajectories of a prescribed dynamical model in such a way that the output of the model (usually some function of the model states) follows a given time series of observations. Typically…

Atmospheric and Oceanic Physics · Physics 2015-05-30 Jochen Bröcker , Ivan G. Szendro

Data assimilation provides algorithms for widespread applications in various fields. It is of practical use to deal with a large amount of information in the complex system that is hard to estimate. Weather forecasting is one of the…

Optimization and Control · Mathematics 2023-03-23 Yihua Yang

Deep learning has advanced weather forecasting, but accurate predictions first require identifying the current state of the atmosphere from observational data. In this work, we introduce Appa, a score-based data assimilation model…

This paper improves the spectrally-filtered direct-insertion downscaling method for discrete-in-time data assimilation by introducing a relaxation parameter that overcomes a constraint on the observation frequency. Numerical simulations…

Numerical Analysis · Mathematics 2026-01-13 Emine Celik , Eric Olson

Deep neural networks offer an alternative paradigm for modeling weather conditions. The ability of neural models to make a prediction in less than a second once the data is available and to do so with very high temporal and spatial…

Atmospheric and Oceanic Physics · Physics 2023-07-07 Marcin Andrychowicz , Lasse Espeholt , Di Li , Samier Merchant , Alexander Merose , Fred Zyda , Shreya Agrawal , Nal Kalchbrenner

As global warming increases the complexity of weather patterns; the precision of weather forecasting becomes increasingly important. Our study proposes a novel preprocessing method and convolutional autoencoder model developed to improve…

Machine Learning · Computer Science 2024-11-11 Yo-Hwan Choi , Seon-Yu Kang , Minjong Cheon

Lagrangian data assimilation of complex nonlinear turbulent flows is an important but computationally challenging topic. In this article, an efficient data-driven statistically accurate reduced-order modeling algorithm is developed that…

Atmospheric and Oceanic Physics · Physics 2022-03-02 Nan Chen , Shubin Fu , Georgy E Manucharyan

Data Assimilation is a cornerstone of atmospheric system modeling, tasked with reconstructing system states by integrating sparse, noisy observations with prior estimation. While traditional approaches like variational and ensemble Kalman…

Machine Learning · Computer Science 2025-11-04 Hao Wang , Zixuan Weng , Jindong Han , Wei Fan , Hao Liu

Machine-learning-based parameterizations (i.e. representation of sub-grid processes) of global climate models or turbulent simulations have recently been proposed as a powerful alternative to physical, but empirical, representations,…

Machine Learning · Computer Science 2023-09-20 Mohamed Aziz Bhouri , Liran Peng , Michael S. Pritchard , Pierre Gentine

Data assimilation (DA) estimates the state of an evolving dynamical system from noisy, partial observations, and is widely used in scientific simulation as well as weather and climate science. In practice, filtering methods rely on…

Image and Video Processing · Electrical Eng. & Systems 2026-05-15 Yixuan Jia , Siyi Chen , Yida Pan , Xiao Li , Lianghe Shi , Chanyong Jung , Haijie Yuan , Ismail Alkhouri , Yue Cynthia Wu , Saiprasad Ravishankar , Jeffrey A Fessler , Qing Qu

We present FNOpt, a self-supervised cloth simulation framework that formulates time integration as an optimization problem and trains a resolution-agnostic neural optimizer parameterized by a Fourier neural operator (FNO). Prior neural…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Ruochen Chen , Thuy Tran , Shaifali Parashar

Artificial Intelligence (AI) weather models are now reaching operational-grade performance for some variables, but like traditional Numerical Weather Prediction (NWP) models, they exhibit systematic biases and reliability issues. We test…

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