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We introduce a probabilistic diffusion-based method for global atmospheric downscaling implemented within the Anemoi framework. The approach transforms low-resolution ensemble forecasts into high-resolution ensembles by learning the…

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

Machine Learning · Statistics 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

Applications · Statistics 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

Physics-based climate projections using general circulation models are essential for assessing future risks, but their coarse resolution limits regional decision-making. Statistical downscaling can efficiently add detail, yet many methods…

Atmospheric and Oceanic Physics · Physics 2026-05-13 Takuro Kutsuna , Noriko N. Ishizaki , Norihiro Oyama , Hiroaki Yoshida

Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

Statistics Theory · Mathematics 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

Difference imaging or image subtraction is a method that measures differential photometry by matching the pointing and point-spread function (PSF) between image frames. It is used for the detection of time-variable phenomena. Here we…

Instrumentation and Methods for Astrophysics · Physics 2017-10-10 Dun Wang , David W. Hogg , Daniel Foreman-Mackey , Bernhard Schölkopf

Kriging is an established methodology for predicting spatial data in geostatistics. Current kriging techniques can handle linear dependencies on spatially referenced covariates. Although splines have shown promise in capturing nonlinear…

Methodology · Statistics 2025-09-16 Bryan Sumalinab , Oswaldo Gressani , Niel Hens , Christel Faes

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

Atmospheric and Oceanic Physics · Physics 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

Underwater image enhancement (UIE) is challenging since image degradation in aquatic environments is complicated and changing over time. Existing mainstream methods rely on either physical-model or data-driven, suffering from performance…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Xiaowen Shi , Yuan-Gen Wang

Downscaling (DS) of meteorological variables involves obtaining high-resolution states from low-resolution meteorological fields and is an important task in weather forecasting. Previous methods based on deep learning treat downscaling as a…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Zili Liu , Hao Chen , Lei Bai , Wenyuan Li , Keyan Chen , Zhengyi Wang , Wanli Ouyang , Zhengxia Zou , Zhenwei Shi

Channel knowledge map (CKM) is a promising technology to enable environment-aware wireless communications and sensing with greatly enhanced performance, by offering location-specific channel prior information for future wireless networks.…

Signal Processing · Electrical Eng. & Systems 2025-04-25 Shen Fu , Yong Zeng , Zijian Wu , Di Wu , Shi Jin , Cheng-Xiang Wang , Xiqi Gao

Missing data in spatiotemporal systems presents a significant challenge for modern applications, ranging from environmental monitoring to urban traffic management. The integrity of spatiotemporal data often deteriorates due to hardware…

Machine Learning · Computer Science 2025-06-10 Wenying He , Jieling Huang , Junhua Gu , Ji Zhang , Yude Bai

Sparse-view Computed Tomography (CT) image reconstruction is a promising approach to reduce radiation exposure, but it inevitably leads to image degradation. Although diffusion model-based approaches are computationally expensive and suffer…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Hanyu Chen , Zhixiu Hao , Lin Guo , Liying Xiao

This study explores the application of diffusion models in the field of typhoons, predicting multiple ERA5 meteorological variables simultaneously from Digital Typhoon satellite images. The focus of this study is taken to be Taiwan, an area…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Zhangyue Ling , Pritthijit Nath , César Quilodrán-Casas

Denoising Diffusion Probabilistic Models (DDPM) are powerful state-of-the-art methods used to generate synthetic data from high-dimensional data distributions and are widely used for image, audio, and video generation as well as many more…

Machine Learning · Statistics 2025-04-25 Iskander Azangulov , George Deligiannidis , Judith Rousseau

In spatial statistics, a common method for prediction over a Gaussian random field (GRF) is maximum likelihood estimation combined with kriging. For massive data sets, kriging is computationally intensive, both in terms of CPU time and…

Methodology · Statistics 2018-09-28 Karl T. Pazdernik , Ranjan Maitra , Douglas Nychka , Stephen Sain

A new model is presented for multisite statistical downscaling of temperature and precipitation using convolutional conditional neural processes (convCNPs). ConvCNPs are a recently developed class of models that allow deep learning…

Machine Learning · Computer Science 2021-01-21 Anna Vaughan , Will Tebbutt , J. Scott Hosking , Richard E. Turner

Projection of changes in extreme indices of climate variables such as temperature and precipitation are critical to assess the potential impacts of climate change on human-made and natural systems, including critical infrastructures and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Nidhin Harilal , Udit Bhatia , Mayank Singh

Data-driven weather models have advanced global medium-range forecasting, yet high-resolution regional prediction remains challenging due to unresolved multiscale interactions between large-scale dynamics and small-scale processes such as…

Machine Learning · Computer Science 2026-03-31 Weiqi Chen , Wenwei Wang , Qilong Yuan , Lefei Shen , Bingqing Peng , Jiawei Chen , Bo Wu , Liang Sun

Recent developments in engineering techniques for spatial data collection such as geographic information systems have resulted in an increasing need for methods to analyze large spatial data sets. These sorts of data sets can be found in…

Methodology · Statistics 2020-08-14 Toshihiro Hirano