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Spatio-temporal kriging is an important problem in web and social applications, such as Web or Internet of Things, where things (e.g., sensors) connected into a web often come with spatial and temporal properties. It aims to infer knowledge…

Machine Learning · Computer Science 2023-02-07 Chuanpan Zheng , Xiaoliang Fan , Cheng Wang , Jianzhong Qi , Chaochao Chen , Longbiao Chen

In asteroseismology, the observed time series often suffers from incomplete time coverage due to gaps. The presence of periodic gaps may generate spurious peaks in the power spectrum that limit the analysis of the data. Various methods have…

Solar and Stellar Astrophysics · Physics 2015-06-23 Sandrine Pires , Savita Mathur , Rafael A. Garcia , Jérôme Ballot , Dennis Stello , Kumiko Sato

Numerical simulations of the propagation of charged particles through magnetic fields solving the equation of motion often leads to the usage of an interpolation in case of discretely defined magnetic fields, typically given on a…

High Energy Astrophysical Phenomena · Physics 2021-07-14 L. Schlegel , A. Frie , B. Eichmann , P. Reichherzer , J. Becker Tjus

In this paper we design a neural interpolation operator to improve the boundary data for regional weather models, which is a challenging problem as we are required to map multi-scale dynamics between grid resolutions. In particular, we…

Machine Learning · Computer Science 2025-05-20 James Jackaman , Oliver Sutton

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,…

Soil moisture is critical component of crop health and monitoring it can enable further actions for increasing yield or preventing catastrophic die off. As climate change increases the likelihood of extreme weather events and reduces the…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Conrad James Foley , Sagar Vaze , Mohamed El Amine Seddiq , Alexey Unagaev , Natalia Efremova

To study trends in extreme precipitation across US over the years 1951-2017, we consider 10 climate indexes that represent extreme precipitation, such as annual maximum of daily precipitation, annual maximum of consecutive 5-day average…

Applications · Statistics 2019-01-01 Arnab Hazra , Brian J. Reich , Ana-Maria Staicu

Estimating spatially distributed information through the interpolation of scattered observation datasets often overlooks the critical role of domain knowledge in understanding spatial dependencies. Additionally, the features of these data…

Machine Learning · Computer Science 2024-09-09 Cong Zhang , Shuyi Du , Hongqing Song , Yuhe Wang

Clustering is a powerful tool which has been used in several forecasting works, such as time series forecasting, real time storm detection, flood forecasting and so on. In this paper, a generic methodology for weather forecasting is…

Computers and Society · Computer Science 2014-06-19 Sanjay Chakraborty , N. K. Nagwani , Lopamudra Dey

I consider the use of Markov random fields (MRFs) on a fine grid to represent latent spatial processes when modeling point-level and areal data, including situations with spatial misalignment. Point observations are related to the grid cell…

Methodology · Statistics 2013-04-09 Christopher J. Paciorek

Floods cause large losses to property, life, and livelihoods across the world every year, hindering sustainable development. Safety nets to help absorb financial shocks in disasters, such as insurance, are often unavailable in regions of…

High spatial resolution wind data are essential for a wide range of applications in climate, oceanographic and meteorological studies. Large-scale spatial interpolation or downscaling of bivariate wind fields having velocity in two…

Machine Learning · Statistics 2025-11-25 Pratik Nag , Ying Sun , Brian J Reich

We propose Space-time in situ postprocessing (STIPP), a machine learning model that generates spatio-temporally consistent weather forecasts for a network of station locations. Gridded forecasts from classical numerical weather prediction…

Atmospheric and Oceanic Physics · Physics 2026-01-07 David Landry , Isabelle Gouttevin , Hugo Merizen , Claire Monteleoni , Anastase Charantonis

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

Computation · Statistics 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

Applications of satellite data in areas such as weather tracking and modeling, ecosystem monitoring, wildfire detection, and land-cover change are heavily dependent on the trade-offs to spatial, spectral and temporal resolutions of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Thomas Vandal , Ramakrishna Nemani

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

Methodology · Statistics 2016-10-11 Mark D. Risser

Recent advances in deep learning have significantly elevated weather prediction models. However, these models often falter in real-world scenarios due to their sensitivity to spatial-temporal shifts. This issue is particularly acute in…

Machine Learning · Computer Science 2023-12-04 Lu Han , Xu-Yang Chen , Han-Jia Ye , De-Chuan Zhan

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

Methodology · Statistics 2018-11-06 Joseph Guinness

Kriging is a fundamental tool for spatial prediction, but its computational complexity of $O(N^3)$ becomes prohibitive for large datasets. While local kriging using $K$-nearest neighbors addresses this issue, the selection of $K$ typically…

Methodology · Statistics 2026-02-04 Francisco Cuevas-Pacheco , Jonathan Acosta

This paper shows an analysis of the gridded European precipitation data. We combine simple linear regression with data mining tools like clustering, and evaluate the strength of the results by the modern bootstrap methods. We have used the…

Applications · Statistics 2018-11-01 Csilla Hajas , András Zempléni