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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

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

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

This paper highlights methods from geostatistics that are relevant to the interpretation, intercomparison, and synthesis of atmospheric model data, with a specific application to exoplanet atmospheric modeling. Climate models are…

Earth and Planetary Astrophysics · Physics 2024-06-17 Jacob Haqq-Misra , Eric T. Wolf , Thomas J. Fauchez , Ravi K. Kopparapu

This work develops a multivariate extension of the Fixed Rank Kriging (FRK) framework for spatial prediction in settings where multiple spatial processes may provide complementary information. The goal is to preserve the computational…

Methodology · Statistics 2026-03-24 Gaia Caringi , Piercesare Secchi

Image interpolation has been used spaciously by customary interpolation techniques. Recently, Kriging technique has been widely implemented in simulation area and geostatistics for prediction. In this article, Kriging technique was used…

Computer Vision and Pattern Recognition · Computer Science 2013-02-07 Firas Ajil Jassim , Fawzi Hasan Altaany

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

Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

Methodology · Statistics 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

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

Data imbalance is a ubiquitous problem in machine learning. In large scale collected and annotated datasets, data imbalance is either mitigated manually by undersampling frequent classes and oversampling rare classes, or planned for with…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Deep Patel , Erin Gao , Anirudh Koul , Siddha Ganju , Meher Anand Kasam

Prediction of wireless channel gain (CG) across space is a necessary tool for many important wireless network design problems. In this paper, we develop prediction methods that use environment-specific features, namely building maps and CG…

Signal Processing · Electrical Eng. & Systems 2023-10-10 Enes Krijestorac , Danijela Cabric

In the era of huge astronomical surveys, machine learning offers promising solutions for the efficient estimation of galaxy properties. The traditional, `supervised' paradigm for the application of machine learning involves training a model…

Astrophysics of Galaxies · Physics 2022-12-21 A. Humphrey , P. A. C. Cunha , A. Paulino-Afonso , S. Amarantidis , R. Carvajal , J. M. Gomes , I. Matute , P. Papaderos

With the advancement of technology and the arrival of miniaturized environmental sensors that offer greater performance, the idea of building mobile network sensing for air quality has quickly emerged to increase our knowledge of air…

There is an increasing need for high spatial and temporal resolution climate data for the wide community of researchers interested in climate change and its consequences. Currently, there is a large mismatch between the spatial resolutions…

Atmospheric and Oceanic Physics · Physics 2021-12-15 Richard Davy , Erik Kusch

The deployment of sensors for air quality monitoring is constrained by high costs, leading to inadequate network coverage and data deficits in some areas. Utilizing existing observations, spatio-temporal kriging is a method for estimating…

Machine Learning · Computer Science 2025-03-14 Songlin Yang , Tao Yang , Bo Hu

We study large-scale spatial systems that contain exogenous variables, e.g. environmental factors that are significant predictors in spatial processes. Building predictive models for such processes is challenging because the large numbers…

Machine Learning · Statistics 2019-12-20 Babak Farmanesh , Arash Pourhabib

Data augmentation with \textbf{Mixup} has been proven an effective method to regularize the current deep neural networks. Mixup generates virtual samples and corresponding labels at once through linear interpolation. However, this one-stage…

Machine Learning · Computer Science 2022-06-07 Xiangjin Xie , Yangning Li , Wang Chen , Kai Ouyang , Li Jiang , Haitao Zheng

Many geosciences data are imprecise due to various limitations and uncertainties in the measuring process. One way to preserve this imprecision in a geostatistical mapping framework is to characterize the measurements as intervals rather…

Methodology · Statistics 2019-11-22 Brennan Bean , Yan Sun , Marc Maguire

Quantifying aboveground biomass (AGB) is essential in the context of global climate change. Canopy height, which is related to AGB, can be mapped using machine learning models trained with multi-source spatial data and GEDI measurements. In…

Applications · Statistics 2025-10-20 Kamel Lahssini , Guerric le Maire , Nicolas Baghdadi , Ibrahim Fayad

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
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