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Data assimilation is a central problem in many geophysical applications, such as weather forecasting. It aims to estimate the state of a potentially large system, such as the atmosphere, from sparse observations, supplemented by prior…

机器学习 · 计算机科学 2024-06-24 Matthieu Blanke , Ronan Fablet , Marc Lelarge

We commonly refer to state-estimation theory in geosciences as data assimilation. This term encompasses the entire sequence of operations that, starting from the observations of a system, and from additional statistical and dynamical…

大气与海洋物理 · 物理学 2018-06-11 Alberto Carrassi , Marc Bocquet , Laurent Bertino , Geir Evensen

While machine learning-based weather prediction (MLWP) has achieved significant advancements, research on assimilating real observations or ensemble forecasts within MLWP models remains limited. We introduce ClimaX-LETKF, the first purely…

机器学习 · 计算机科学 2025-12-17 Akira Takeshima , Kenta Shiraishi , Atsushi Okazaki , Tadashi Tsuyuki , Shunji Kotsuki

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…

机器学习 · 统计学 2026-04-02 Brianna Binder , Agnimitra Dasgupta , Assad Oberai

Data assimilation (DA) addresses the problem of sequentially estimating the state of a dynamical system from noisy and incomplete observations. In this work, we employ a diffusion model as a world model to simulate and predict the system's…

机器学习 · 统计学 2026-05-26 Lifu Wei , Yinuo Ren , Naichen Shi , Yiping Lu

Incomplete satellite-based precipitation presents a significant challenge in global monitoring. For example, the Global Satellite Mapping of Precipitation (GSMaP) from JAXA suffers from substantial missing regions due to the orbital…

机器学习 · 计算机科学 2025-07-29 Daiko Kishikawa , Yuka Muto , Shunji Kotsuki

The weather forecasting system is important for science and society, and significant achievements have been made in applying artificial intelligence (AI) to medium-range weather forecasting. However, existing AI-based weather forecasting…

大气与海洋物理 · 物理学 2025-12-05 Kun Chen , Lei Bai , Fenghua Ling , Peng Ye , Tao Chen , Hang Fan , Hao Chen , Yi Xiao , Kang Chen , Tao Han , Jing-Jia Luo , Wanli Ouyang

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…

大气与海洋物理 · 物理学 2022-03-14 Stefanie Legler , Tijana Janjic

Although deep learning models have demonstrated remarkable potential in weather prediction, most of them overlook either the \textbf{physics} of the underlying weather evolution or the \textbf{topology} of the Earth's surface. In light of…

机器学习 · 计算机科学 2025-05-09 Jiaqi Zheng , Qing Ling , Yerong Feng

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

机器学习 · 计算机科学 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

A state-space model is a statistical framework for inferring latent states from observed time-series data. However, inference with nonlinear and high-dimensional state-space models remains challenging. To this end, an approach based on…

计算工程、金融与科学 · 计算机科学 2026-04-02 Yuma Yamaoka , Seiichi Uchida , Shoji Toyota

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…

机器学习 · 计算机科学 2021-10-27 Georg A. Gottwald , Sebastian Reich

Wind speed at sea surface is a key quantity for a variety of scientific applications and human activities. Due to the non-linearity of the phenomenon, a complete description of such variable is made infeasible on both the small scale and…

机器学习 · 计算机科学 2024-10-28 Matteo Zambra , Nicolas Farrugia , Dorian Cazau , Alexandre Gensse , Ronan Fablet

Improving the representation of precipitation in Earth system models (ESMs) is critical for assessing the impacts of climate change and especially of extreme events like floods and droughts. In existing ESMs, precipitation is not resolved…

机器学习 · 计算机科学 2026-05-27 Michael Aich , Sebastian Bathiany , Philipp Hess , Yu Huang , Niklas Boers

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…

图像与视频处理 · 电气工程与系统科学 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

Weather forecasting benefits us in various ways from farmers in cultivation and harvesting their crops to airlines to schedule their flights. Weather forecasting is a challenging task due to the chaotic nature of the atmosphere. Therefore…

机器学习 · 计算机科学 2020-11-10 Eranga De Saa , Lochandaka Ranathunga

Data assimilation (DA), as an indispensable component within contemporary Numerical Weather Prediction (NWP) systems, plays a crucial role in generating the analysis that significantly impacts forecast performance. Nevertheless, the…

机器学习 · 计算机科学 2026-03-17 Xiaoze Xu , Xiuyu Sun , Wei Han , Xiaohui Zhong , Lei Chen , Hao Li

Effective adaptation and mitigation strategies for climate change require high-resolution projections to inform strategic decision-making. Conventional global climate models, which typically operate at resolutions of 150 to 200 kilometers,…

The hybrid model combines the physics-based primitive-equations model SPEEDY with a machine learning-based (ML-based) model component, while ERA5 reanalyses provide the presumed true states of the atmosphere. Six-hourly simulated noisy…

混沌动力学 · 物理学 2025-09-29 Dylan Elliott , Troy Arcomano , Istvan Szunyogh , Brian R. Hunt

Data assimilation is a vital component in modern global medium-range weather forecasting systems to obtain the best estimation of the atmospheric state by combining the short-term forecast and observations. Recently, AI-based data…

机器学习 · 计算机科学 2024-06-05 Kun Chen , Tao Chen , Peng Ye , Hao Chen , Kang Chen , Tao Han , Wanli Ouyang , Lei Bai