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Spatial interpolation is a crucial task in geography. As perhaps the most widely used interpolation methods, geostatistical models -- such as Ordinary Kriging (OK) -- assume spatial stationarity, which makes it difficult to capture the…

Physics and Society · Physics 2025-07-11 Peng Luo , Yilong Wu , Yongze Song

In this paper, we further investigate the problem of selecting a set of design points for universal kriging, which is a widely used technique for spatial data analysis. Our goal is to select the design points in order to make simultaneous…

Methodology · Statistics 2024-01-18 Helmut Waldl , Werner G. Müller , Paula Camelia Trandafir

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

The integration of renewable energy sources and distributed generation in the power system calls for fast and reliable predictions of grid dynamics to achieve efficient control and ensure stability. In this work, we present a novel…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Carlos Moreno-Blazquez , Filiberto Fele , Teodoro Alamo

Due to air quality significantly affects human health, it is becoming increasingly important to accurately and timely predict the Air Quality Index (AQI). To this end, this paper proposes a new federated learning-based aerial-ground air…

Signal Processing · Electrical Eng. & Systems 2020-09-03 Yi Liu , Jiangtian Nie , Xuandi Li , Syed Hassan Ahmed , Wei Yang Bryan Lim , Chunyan Miao

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

Deep learning is gaining increasing popularity for spatiotemporal forecasting. However, prior works have mostly focused on point estimates without quantifying the uncertainty of the predictions. In high stakes domains, being able to…

Artificial Intelligence · Computer Science 2021-06-15 Dongxia Wu , Liyao Gao , Xinyue Xiong , Matteo Chinazzi , Alessandro Vespignani , Yi-An Ma , Rose Yu

For geospatial modelling and mapping tasks, variants of kriging - the spatial interpolation technique developed by South African mining engineer Danie Krige - have long been regarded as the established geostatistical methods. However,…

Machine Learning · Statistics 2020-09-10 Charlie Kirkwood , Theo Economou , Nicolas Pugeault

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

Monitoring air pollution is crucial for protecting human health from exposure to harmful substances. Traditional methods of air quality monitoring, such as ground-based sensors and satellite-based remote sensing, face limitations due to…

Machine Learning · Computer Science 2025-01-22 Osama Ahmad , Zubair Khalid , Muhammad Tahir , Momin Uppal

The use of weather index insurances is subject to spatial basis risk, which arises from the fact that the location of the user's risk exposure is not the same as the location of any of the weather stations where an index can be measured. To…

Applications · Statistics 2024-08-01 Yiping Guo , Johnny Siu-Hang Li

Due to the profound impact of air pollution on human health, livelihoods, and economic development, air quality forecasting is of paramount significance. Initially, we employ the causal graph method to scrutinize the constraints of existing…

Artificial Intelligence · Computer Science 2025-05-27 Jiaming Ma , Guanjun Wang , Sheng Huang , Kuo Yang , Binwu Wang , Pengkun Wang , Yang Wang

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

The interpolation, prediction, and feature analysis of fine-gained air quality are three important topics in the area of urban air computing. The solutions to these topics can provide extremely useful information to support air pollution…

Machine Learning · Computer Science 2018-04-12 Zhongang Qi , Tianchun Wang , Guojie Song , Weisong Hu , Xi Li , Zhongfei , Zhang

Spatial processes with nonstationary and anisotropic covariance structure are often used when modelling, analysing and predicting complex environmental phenomena. Such processes may often be expressed as ones that have stationary and…

Methodology · Statistics 2020-04-06 Andrew Zammit-Mangion , Tin Lok James Ng , Quan Vu , Maurizio Filippone

Given coarser-resolution projections from global climate models or satellite data, the downscaling problem aims to estimate finer-resolution regional climate data, capturing fine-scale spatial patterns and variability. Downscaling is any…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Subhankar Ghosh , Arun Sharma , Jayant Gupta , Aneesh Subramanian , Shashi Shekhar

Gaussian processes (GPs) are a ubiquitous tool for geostatistical modeling with high levels of flexibility and interpretability, and the ability to make predictions at unseen spatial locations through a process called Kriging. Estimation of…

Machine Learning · Statistics 2024-11-12 Brandon R. Feng , Reetam Majumder , Brian J. Reich , Mohamed A. Abba

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

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

In various industrial contexts, estimating the distribution of unobserved random vectors Xi from some noisy indirect observations H(Xi) + Ui is required. If the relation between Xi and the quantity H(Xi), measured with the error Ui, is…

Methodology · Statistics 2015-08-25 Shuai Fu , Mathieu Couplet , Nicolas Bousquet