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Data assimilation of observational data into full atmospheric states is essential for weather forecast model initialization. Recently, methods for deep generative data assimilation have been proposed which allow for using new input data…

The generation of initial conditions via accurate data assimilation is crucial for weather forecasting and climate modeling. We propose DiffDA as a denoising diffusion model capable of assimilating atmospheric variables using predicted…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 Langwen Huang , Lukas Gianinazzi , Yuejiang Yu , Peter D. Dueben , Torsten Hoefler

Modelling partial differential equations (PDEs) is of crucial importance in science and engineering, and it includes tasks ranging from forecasting to inverse problems, such as data assimilation. However, most previous numerical and machine…

Diffusion models have gained attention for their ability to represent complex distributions and incorporate uncertainty, making them ideal for robust predictions in the presence of noisy or incomplete data. In this study, we develop and…

Machine Learning · Computer Science 2024-11-05 Yilin Zhuang , Sibo Cheng , Karthik Duraisamy

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Spatiotemporal data imputation plays a crucial role in various fields such as traffic flow monitoring, air quality assessment, and climate prediction. However, spatiotemporal data collected by sensors often suffer from temporal…

Machine Learning · Computer Science 2024-12-18 Zijin Liu , Xiang Zhao , You Song

Spatiotemporal data mining plays an important role in air quality monitoring, crowd flow modeling, and climate forecasting. However, the originally collected spatiotemporal data in real-world scenarios is usually incomplete due to sensor…

Machine Learning · Computer Science 2023-02-21 Mingzhe Liu , Han Huang , Hao Feng , Leilei Sun , Bowen Du , Yanjie Fu

Coastal flooding poses increasing threats to communities worldwide, necessitating accurate and hyper-local inundation forecasting for effective emergency response. However, real-world deployment of forecasting systems is often constrained…

Learning physical dynamics from data is a fundamental challenge in machine learning and scientific modeling. Real-world observational data are inherently incomplete and irregularly sampled, posing significant challenges for existing…

Machine Learning · Computer Science 2026-05-04 Zihan Zhou , Chenguang Wang , Hongyi Ye , Yongtao Guan , Tianshu Yu

The Atmospheric Radiation Measurement program is a U.S. Department of Energy project that collects meteorological observations at several locations around the world in order to study how weather processes affect global climate change. As…

Applications · Statistics 2013-12-02 Joseph Guinness , Michael L. Stein

Climate modelers generally require meteorological information on regular grids, but monitoring stations are, in practice, sited irregularly. Thus, there is a need to produce public data records that interpolate available data to a high…

Applications · Statistics 2009-06-08 Michael L. Stein

Utilizing the information in observations of a complex system to make accurate predictions through a quantitative model when observations are completed at time $T$, requires an accurate estimate of the full state of the model at time $T$.…

Chaotic Dynamics · Physics 2014-05-13 Zhe An , Daniel Rey , Henry D. I. Abarbanel

Spatiotemporal data analysis is pivotal across various domains, such as transportation, meteorology, and healthcare. The data collected in real-world scenarios are often incomplete due to device malfunctions and network errors.…

Machine Learning · Computer Science 2024-03-25 Yakun Chen , Kaize Shi , Zhangkai Wu , Juan Chen , Xianzhi Wang , Julian McAuley , Guandong Xu , Shui Yu

Conditional diffusion models provide a natural framework for probabilistic prediction of dynamical systems and have been successfully applied to fluid dynamics and weather prediction. However, in many settings, the available information at…

We introduce a universal diffusion-based downscaling framework that lifts deterministic low-resolution weather forecasts into probabilistic high-resolution predictions without any model-specific fine-tuning. A single conditional diffusion…

Machine Learning · Computer Science 2026-04-21 Roberto Molinaro , Niall Siegenheim , Henry Martin , Mark Frey , Niels Poulsen , Philipp Seitz , Marvin Vincent Gabler

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…

Machine Learning · Computer Science 2025-07-29 Daiko Kishikawa , Yuka Muto , Shunji Kotsuki

The weather phenomenon of frost poses great threats to agriculture. As recent frost prediction methods are based on on-site historical data and sensors, extra development and deployment time are required for data collection in any new site.…

Machine Learning · Computer Science 2023-05-16 Ian Zhou , Justin Lipman , Mehran Abolhasan , Negin Shariati

Numerical climate model simulations run at high spatial and temporal resolutions generate massive quantities of data. As our computing capabilities continue to increase, storing all of the data is not sustainable, and thus it is important…

Methodology · Statistics 2018-02-20 Joseph Guinness , Dorit Hammerling

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

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…

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