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Gridded data products, for example interpolated daily measurements of precipitation from weather stations, are commonly used as a convenient substitute for direct observations because these products provide a spatially and temporally…

Three-dimensional wind retrievals from ground-based Doppler radars have played an important role in meteorological research and nowcasting over the past four decades. However, in recent years, the proliferation of open-source software and…

Atmospheric and Oceanic Physics · Physics 2023-11-29 Jordan P. Brook , Alain Protat , Corey K. Potvin , Joshua S. Soderholm , Hamish McGowan

A detailed analysis of precipitation data over Europe is presented, with a focus on interpolation and forecasting applications. A Spatio-temporal DeepKriging (STDK) framework has been implemented using the PyTorch platform to achieve these…

Machine Learning · Computer Science 2025-09-17 Pratik Nag

Weather parametric insurance relies on weather indices rather than actual loss assessments, enhancing claims efficiency, reducing moral hazard, and improving fairness. In the context of increasing climate change risks, despite growing…

Risk Management · Quantitative Finance 2024-09-26 Hang Gao , Shuohua Yang , Xinli Liu

Machine learning and geostatistics are two fundamentally different frameworks for predicting and spatially mapping soil properties. Geostatistics leverages the spatial structure of soil properties, while machine learning captures the…

Machine Learning · Computer Science 2026-01-06 Jonas Schmidinger , Viacheslav Barkov , Sebastian Vogel , Martin Atzmueller , Gerard B M Heuvelink

We provide a new kriging procedure of processes on graphs. Based on the construction of Gaussian random processes indexed by graphs, we extend to this framework the usual linear prediction method for spatial random fields, known as kriging.…

Statistics Theory · Mathematics 2014-06-26 Thibault Espinasse , Jean-Michel Loubes

Extreme weather events are becoming more common, with severe storms, floods, and prolonged precipitation affecting communities worldwide. These shifts in climate patterns pose a direct threat to the insurance industry, which faces growing…

Applications · Statistics 2026-01-21 Asim K. Dey

New satellite sensors will soon make it possible to estimate field-level crop yields, showing a great potential for agricultural index insurance. This paper identifies an important threat to better insurance from these new technologies:…

Econometrics · Economics 2022-09-30 Matthieu Stigler , Apratim Dey , Andrew Hobbs , David Lobell

Graph neural networks have shown promising results in weather forecasting, which is critical for human activity such as agriculture planning and extreme weather preparation. However, most studies focus on finite and local areas for…

Computational Engineering, Finance, and Science · Computer Science 2025-10-23 Zinan Zheng , Yang Liu , Jia Li

Gridded estimated rainfall intensity values at very high spatial and temporal resolution levels are needed as main inputs for weather prediction models to obtain accurate precipitation forecasts, and to verify the performance of…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee

Analyzing massive spatial datasets using Gaussian process model poses computational challenges. This is a problem prevailing heavily in applications such as environmental modeling, ecology, forestry and environmental heath. We present a…

Methodology · Statistics 2021-12-07 Suman Majumder , Yawen Guan , Brian J. Reich , Arvind K. Saibaba

During the winter season, real-time monitoring of road surface conditions is critical for the safety of drivers and road maintenance operations. Previous research has evaluated the potential of image classification methods for detecting…

Signal Processing · Electrical Eng. & Systems 2020-09-28 Juan Carrillo , Mark Crowley

This work falls within the context of predicting the value of a real function at some input locations given a limited number of observations of this function. The Kriging interpolation technique (or Gaussian process regression) is often…

Machine Learning · Statistics 2017-07-26 Didier Rullière , Nicolas Durrande , François Bachoc , Clément Chevalier

Interpolating a skewed conditional spatial random field with missing data is cumbersome in the absence of Gaussianity assumptions. Maintaining spatial homogeneity and continuity around the observed random spatial point is also challenging,…

Methodology · Statistics 2022-05-27 Debjoy Thakur , Ishapathik Das , Shubhashree Chakravarty

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

Data augmentation is a crucial step in the development of robust supervised learning models, especially when dealing with limited datasets. This study explores interpolation techniques for the augmentation of geo-referenced data, with the…

Artificial Intelligence · Computer Science 2025-01-14 Frédérick Fabre Ferber , Dominique Gay , Jean-Christophe Soulié , Jean Diatta , Odalric-Ambrym Maillard

Accurate forecasting of future solar irradiance is essential for the effective control of solar thermal power plants. Although various kriging-based methods have been proposed to address the prediction problem, these methods typically do…

Robotics · Computer Science 2026-03-27 Haruki Kawase , Taiga Sugawara , A. Daniel Carnerero

We propose a new method for combining in situ buoy measurements with Earth system models (ESMs) to improve the accuracy of temperature predictions in the ocean. The technique utilizes the dynamics \textit{and} modes identified in ESMs…

Atmospheric and Oceanic Physics · Physics 2024-06-21 Derek DeSantis , Ayan Biswas , Earl Lawrence , Phillip Wolfram

The risk of extreme environmental events is of great importance for both the authorities and the insurance industry. This paper concerns risk measures in a spatial setting, in order to introduce the spatial features of damages stemming from…

Probability · Mathematics 2016-10-12 Erwan Koch

Integrating gridded weather and earth observation data into impact evaluations holds great promise. It allows researchers to capture environmental context, external shocks, and even to measure outcomes (e.g., land cover change, agricultural…

Physics and Society · Physics 2025-10-08 Elinor Benami , Mike Cecil , Anna Josephson , Gina Maskell , Jeffrey D. Michler