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Precise and reliable climate projections are required for climate adaptation and mitigation, but Earth system models still exhibit great uncertainties. Several approaches have been developed to reduce the spread of climate projections and…

Lagrangian trajectory or particle dispersion models as well as semi-Lagrangian advection schemes require meteorological data such as wind, temperature and geopotential at the exact spatio-temporal locations of the particles that move…

Atmospheric and Oceanic Physics · Physics 2022-06-09 Rüdiger Brecht , Lucie Bakels , Alex Bihlo , Andreas Stohl

Using a very cheap Data Assimilation (DA) method, I show an alternative approach to classical DA for numerical climate models which produce a large amount of "big data". The problematic features of state-of-the-art high resolution Regional…

Applications · Statistics 2016-10-12 Bijan Fallah

Generative modeling has drawn much attention in creative and scientific data generation tasks. Score-based Diffusion Models, a type of generative model that iteratively learns to denoise data, have shown state-of-the-art results on tasks…

Robotics · Computer Science 2024-05-21 Tyler Presser , Agnimitra Dasgupta , Daniel Erwin , Assad Oberai

Data-driven machine learning (ML) models are reshaping weather forecasting and have shown the potential to accelerate and surpass traditional physics-based approaches, leading to a second revolution in the field after data assimilation.…

Machine Learning · Computer Science 2026-05-19 Hang Fan , Yi Xiao , Yongquan Qu , Juan Nathaniel , Fenghua Ling , Ben Fei , Lei Bai , Pierre Gentine

Physics-based numerical models have been the bedrock of atmospheric sciences for decades, offering robust solutions but often at the cost of significant computational resources. Deep learning (DL) models have emerged as powerful tools in…

We use a conditional deep convolutional generative adversarial network to predict the geopotential height of the 500 hPa pressure level, the two-meter temperature and the total precipitation for the next 24 hours over Europe. The proposed…

Atmospheric and Oceanic Physics · Physics 2020-06-16 Alexander Bihlo

Machine learning for weather prediction increasingly relies on ensemble methods to provide probabilistic forecasts. Diffusion-based models have shown strong performance in Limited-Area Modeling (LAM) but remain computationally expensive at…

Machine Learning · Computer Science 2025-11-27 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Weather forecasts sit upstream of high-stakes decisions in domains such as grid operations, aviation, agriculture, and emergency response. Yet forecast users often face a difficult trade-off. Many decision-relevant targets are functionals…

Machine Learning · Computer Science 2026-01-08 Paulius Rauba , Viktor Cikojevic , Fran Bartolic , Sam Levang , Ty Dickinson , Chase Dwelle

We study prediction-assimilation systems, which have become routine in meteorology and oceanography and are rapidly spreading to other areas of the geosciences and of continuum physics. The long-term, nonlinear stability of such a system…

Chaotic Dynamics · Physics 2009-11-13 Alberto Carrassi , Michael Ghil , Anna Trevisan , Francesco Uboldi

Particle filters are a group of algorithms to solve inverse problems through statistical Bayesian methods when the model does not comply with the linear and Gaussian hypothesis. Particle filters are used in domains like data assimilation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-10 Sebastian Friedemann , Kai Keller , Yen-Sen Lu , Bruno Raffin , Leonardo Bautista Gomez

Machine learning methods have been shown to be effective for weather forecasting, based on the speed and accuracy compared to traditional numerical models. While early efforts primarily concentrated on deterministic predictions, the field…

Machine Learning · Computer Science 2025-04-11 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Robust and accurate sensing is of critical importance for advancing autonomous automotive systems. The need to acquire situational awareness in complex urban conditions using sensors such as radar has motivated research on power and…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Madhumitha Sakthi , Ahmed Tewfik , Marius Arvinte , Haris Vikalo

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

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

Machine Learning · Computer Science 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang

The Copernicus Regional Reanalysis for Europe, CERRA, is a high-resolution regional reanalysis dataset for the European domain. In recent years it has shown significant utility across various climate-related tasks, ranging from forecasting…

Machine Learning · Computer Science 2024-02-01 Fabio Merizzi , Andrea Asperti , Stefano Colamonaco

An AI-based Limited-Area Model (LAM) is developed for dynamical downscaling over the Southern Great Plains and the southeastern United States, with strong generalization abilities under diverse boundary conditions. The model is trained…

Atmospheric and Oceanic Physics · Physics 2026-02-25 Yingkai Sha , Tracy Hertneky , Ethan Gutmann , Seth McGinnis , Rachel McCrary , Lulin Xue , David John Gagne , Kathryn Newman , Andrew Newman

Generative machine learning offers new opportunities to better understand complex Earth system dynamics. Recent diffusion-based methods address spectral biases and improve ensemble calibration in weather forecasting compared to…

Reanalysis products such as the ERA5 reanalysis are commonly used as proxies for observed atmospheric conditions. These products are convenient to use due to their global coverage, the large number of available atmospheric variables and the…

Applications · Statistics 2025-07-03 Silius M. Vandeskog , Thordis L. Thorarinsdottir , Alex Lenkoski

We propose Ambient Dataloops, an iterative framework for refining datasets that makes it easier for diffusion models to learn the underlying data distribution. Modern datasets contain samples of highly varying quality, and training directly…