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In climate science, models for global warming and weather prediction face significant challenges due to the limited availability of high-quality data and the difficulty in obtaining it, making data efficiency crucial. In the past few years,…

Machine Learning · Computer Science 2024-10-10 Sameera S Kashyap , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

Research on Artificial Intelligence (AI)-based Data Assimilation (DA) is expanding rapidly. However, the absence of an objective, comprehensive, and real-world benchmark hinders the fair comparison of diverse methods. Here, we introduce…

Machine Learning · Computer Science 2026-02-17 Wuxin Wang , Weicheng Ni , Ben Fei , Tao Han , Lilan Huang , Taikang Yuan , Xiaoyong Li , Lei Bai , Boheng Duan , Kaijun Ren

We propose closed-form conditional diffusion models for data assimilation. Diffusion models use data to learn the score function (defined as the gradient of the log-probability density of a data distribution), allowing them to generate new…

Machine Learning · Statistics 2026-04-02 Brianna Binder , Agnimitra Dasgupta , Assad Oberai

Data assimilation combines forecasts from a numerical model with observations. Most of the current data assimilation algorithms consider the model and observation error terms as additive Gaussian noise, specified by their covariance…

Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

Numerical Analysis · Mathematics 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

Continuous data assimilation (CDA) is successfully implemented for the first time for efficient dynamical downscaling of a global atmospheric reanalysis. A comparison of the performance of CDA with the standard grid and spectral nudging…

Atmospheric and Oceanic Physics · Physics 2019-07-31 Srinivas Desamsetti , Hari Prasad Dasari , Sabique Langodan , Edriss S Titi , Omar Knio , Ibrahim Hoteit

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…

Machine Learning · Computer Science 2026-05-29 Ruoyu Hu , Dahai Yu , Feng Bao , Guang Wang , Guannan Zhang

Climate change exacerbates extreme weather events like heavy rainfall and flooding. As these events cause severe socioeconomic damage, accurate high-resolution simulation of precipitation is imperative. However, existing Earth System Models…

Geophysics · Physics 2026-02-03 Michael Aich , Philipp Hess , Baoxiang Pan , Sebastian Bathiany , Yu Huang , Niklas Boers

Climate change is accelerating the frequency and severity of unprecedented events, deviating from established patterns. Predicting these out-of-distribution (OOD) events is critical for assessing risks and guiding climate adaptation. While…

Machine Learning · Computer Science 2025-09-16 Maria Conchita Agana Navarro , Geng Li , Theo Wolf , María Pérez-Ortiz

The parameterization of moist convection contributes to uncertainty in climate modeling and numerical weather prediction. Machine learning (ML) can be used to learn new parameterizations directly from high-resolution model output, but it…

Atmospheric and Oceanic Physics · Physics 2018-11-30 Paul A. O'Gorman , John G. Dwyer

A Data Assimilation (DA) strategy based on an ensemble Kalman filter (EnKF) is used to enhance the predictive capabilities of scale resolving numerical tools for the analysis of flows exhibiting cyclic behaviour. More precisely, an ensemble…

Fluid Dynamics · Physics 2025-03-20 Lucas Villanueva , Karine Truffin , Jacques Borée , Marcello Meldi

Continuous data assimilation (CDA) nudges observational data into governing equations to recover the underlying flow and improve predictions. Existing rigorous CDA analyses focus primarily on incompressible flows, yet no physical flow is…

Numerical Analysis · Mathematics 2026-04-30 Aytekin Çıbık , Rui Fang

Recent achievements in machine learning (Ml) have had a significant impact on various fields, including climate science. Climate modeling is very important and plays a crucial role in shaping the decisions of governments and individuals in…

Image and Video Processing · Electrical Eng. & Systems 2023-11-17 Ahmed Elsayed , Shrouk Wally , Islam Alkabbany , Asem Ali , Aly Farag

Classical discriminant analysis assumes identically distributed training data, yet in many applications observations are collected over time and the class-conditional distributions drift. This population drift renders stationary classifiers…

Machine Learning · Computer Science 2025-08-25 Shuilian Xie , Mahdi Imani , Edward R. Dougherty , Ulisses M. Braga-Neto

Nonlinear model predictive control has become a popular approach to deal with highly nonlinear and unsteady state systems, the performance of which can however deteriorate due to unaccounted uncertainties. Model predictive control is…

Optimization and Control · Mathematics 2021-03-02 Eric Bradford , Lars Imsland

Global climate models (GCMs), typically run at ~100-km resolution, capture large-scale environmental conditions but cannot resolve convection and cloud processes at kilometer scales. Convection-permitting models offer higher-resolution…

Atmospheric and Oceanic Physics · Physics 2026-05-12 Hungjui Yu , Lander Ver Hoef , Kristen L. Rasmussen , Imme Ebert-Uphoff

A data-driven method for improving the correlation estimation in serial ensemble Kalman filters is introduced. The method finds a linear map that transforms, at each assimilation cycle, the poorly estimated sample correlation into an…

Statistics Theory · Mathematics 2017-04-05 Michèle De La Chevrotière , John Harlim

In this paper, the Ensemble Kalman Filter is compared with a 4DVAR Data Assimilation System in chaotic dynamics. The Lorenz model is chosen for its simplicity in structure and its dynamical similarities with primitive equation models, such…

Chaotic Dynamics · Physics 2026-04-13 Fabrício Pereira Harter , Cleber Souza Corrêa

Climate change poses complex challenges, with extreme weather events becoming increasingly frequent and difficult to model. Examples include the dynamics of Combined Sewer Systems (CSS). Overburdened CSS during heavy rainfall will overflow…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Vipin Singh , Tianheng Ling , Teodor Chiaburu , Felix Biessmann

This paper introduces a data assimilation (DA) framework based on the extended Kalman filter-cell transmission model, designed to assist jam-absorption driving (JAD) operation to alleviate sag traffic congestion. To ascertain and…

Systems and Control · Electrical Eng. & Systems 2024-09-09 Siyu Li , Ryosuke Nishi , Daichi Yanagisawa , Katsuhiro Nishinari
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