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Related papers: Bivariate DeepKriging for Large-scale Spatial Inte…

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In spatial statistics, a common objective is to predict values of a spatial process at unobserved locations by exploiting spatial dependence. Kriging provides the best linear unbiased predictor using covariance functions and is often…

Machine Learning · Statistics 2022-05-25 Wanfang Chen , Yuxiao Li , Brian J Reich , Ying Sun

Gaussian processes (GP) and Kriging are widely used in traditional spatio-temporal mod-elling and prediction. These techniques typically presuppose that the data are observed from a stationary GP with parametric covariance structure.…

Machine Learning · Statistics 2023-06-21 Pratik Nag , Ying Sun , Brian J Reich

Cokriging is the common method of spatial interpolation (best linear unbiased prediction) in multivariate geostatistics. While best linear prediction has been well understood in univariate spatial statistics, the literature for the…

Statistics Theory · Mathematics 2020-07-30 François Bachoc , Emilio Porcu , Moreno Bevilacqua , Reinhard Furrer , Tarik Faouzi

As climate change intensifies, the shift to cleaner energy sources becomes increasingly urgent. With wind energy production set to accelerate, reliable wind probabilistic forecasts are essential to ensure its efficient use. However, since…

Machine Learning · Computer Science 2024-10-08 Jean-Sébastien Giroux , Simon-Philippe Breton , Julie Carreau

Accurate precipitation estimates at individual locations are crucial for weather forecasting and spatial analysis. This study presents a paradigm shift by leveraging Deep Neural Networks (DNNs) to surpass traditional methods like Kriging…

Spatially misaligned data, where the response and covariates are observed at different spatial locations, commonly arise in many environmental studies. Much of the statistical literature on handling spatially misaligned data has been…

Methodology · Statistics 2023-10-10 Z. Y. Tho , F. K. C. Hui , A. H. Welsh , T. Zou

Accurate prediction of wind power is essential for the grid integration of this intermittent renewable source and aiding grid planners in forecasting available wind capacity. Spatial differences lead to discrepancies in climatological data…

Machine Learning · Computer Science 2024-05-21 Md Saiful Islam Sajol , Md Shazid Islam , A S M Jahid Hasan , Md Saydur Rahman , Jubair Yusuf

Geospatial observational datasets are often limited to point measurements, making temporal prediction and spatial interpolation essential for constructing continuous fields. This study evaluates two deep learning strategies for addressing…

Machine Learning · Computer Science 2025-12-01 Anna Pazola , Mohammad Shamsudduha , Richard G. Taylor , Allan Tucker

Interpolation in Spatio-temporal data has applications in various domains such as climate, transportation, and mining. Spatio-Temporal interpolation is highly challenging due to the complex spatial and temporal relationships. However,…

The increasing availability of large-scale global datasets has generated a demand for scalable spatial prediction methods defined on spherical domains. Classical spatial models that rely on Euclidean distance representations are…

Methodology · Statistics 2026-04-03 Hao-Yun Huang , Wen-Ting Wang , Ping-Hsun Chiang , Wei-Ying Wu

Predicting a complete spatially correlated field from sparse observations is a fundamental challenge in spatial statistics and environmental modelling. Classical interpolation methods such as Kriging rely on Gaussian process assumptions and…

Machine Learning · Statistics 2026-05-29 Daniel Tinoco , Raquel Menezes , Carlos Baquero , Alexandra Silva

Nearshore bathymetry, the topography of the ocean floor in coastal zones, is vital for predicting the surf zone hydrodynamics and for route planning to avoid subsurface features. Hence, it is increasingly important for a wide variety of…

Accurate spatial interpolation of the air quality index (AQI), computed from concentrations of multiple air pollutants, is essential for regulatory decision-making, yet AQI fields are inherently non-Gaussian and often exhibit complex…

Methodology · Statistics 2025-12-30 Junyu Chen , Pratik Nag , Huixia Judy-Wang , Ying Sun

Machine learning models have been employed to perform either physics-free data-driven or hybrid dynamical downscaling of climate data. Most of these implementations operate over relatively small downscaling factors because of the challenge…

Atmospheric and Oceanic Physics · Physics 2023-02-24 Daniel Getter , Julie Bessac , Johann Rudi , Yan Feng

Accurately representing surface weather at the sub-kilometer scale is crucial for optimal decision-making in a wide range of applications. This motivates the use of statistical techniques to provide accurate and calibrated probabilistic…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Francesco Zanetta , Daniele Nerini , Matteo Buzzi , Henry Moss

The paper presents a spatio-temporal wind speed forecasting algorithm using Deep Learning (DL)and in particular, Recurrent Neural Networks(RNNs). Motivated by recent advances in renewable energy integration and smart grids, we apply our…

Machine Learning · Computer Science 2017-07-27 Amir Ghaderi , Borhan M. Sanandaji , Faezeh Ghaderi

Kriging is the predominant method used for spatial prediction, but relies on the assumption that predictions are linear combinations of the observations. Kriging often also relies on additional assumptions such as normality and…

Machine Learning · Statistics 2019-03-29 Haoyu Wang , Yawen Guan , Brian J Reich

Modeling and inferring spatial relationships and predicting missing values of environmental data are some of the main tasks of geospatial statisticians. These routine tasks are accomplished using multivariate geospatial models and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Mary Lai O. Salvaña , Sameh Abdulah , Huang Huang , Hatem Ltaief , Ying Sun , Marc G. Genton , David E. Keyes

Multivariate measurements taken at irregularly sampled locations are a common form of data, for example in geochemical analysis of soil. In practical considerations predictions of these measurements at unobserved locations are of great…

Signal Processing · Electrical Eng. & Systems 2024-04-12 Christoph Muehlmann , Klaus Nordhausen , Mengxi Yi

Accurate prediction of crop yield is critical for supporting food security, agricultural planning, and economic decision-making. However, yield forecasting remains a significant challenge due to the complex and nonlinear relationships…

Applications · Statistics 2026-04-09 Yeonjoo Park , Bo Li , Yehua Li
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