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There are various methods to analyze different kinds of data sets. Spatial data is defined when data is dependent on each other based on their respective locations. Spline and Kriging are two methods for interpolating and predicting spatial…

Applications · Statistics 2009-08-21 Roshanak Alimohammadi

Kriging is a widely recognized method for making spatial predictions. On the sphere, popular methods such as ordinary kriging assume that the spatial process is intrinsically homogeneous. However, intrinsic homogeneity is too strict in many…

Methodology · Statistics 2021-07-08 Nicholas W. Bussberg , Jacob Shields , Chunfeng Huang

In simulation, Median Polish Kriging is a technique used to predict unobserved data points in two-dimensional space. The linear behavior of the traditional Median Polish Kriging in the estimation of the mean function in a high grid makes…

Other Computer Science · Computer Science 2013-08-01 Firas Al Rekabi , Asim El Sheikh

A diverse range of interpolation methods, including Kriging, spline/minimum curvature and radial basis function interpolation exist for interpolating spatially incomplete geoscientific data. Such methods use various spatial properties of…

Methodology · Statistics 2025-04-23 Arya Kimiaghalam , Andrei Swidinsky , Mohammad Parsa

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

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

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

Methodology · Statistics 2012-03-13 B. D. Youngman

Fusing abundant satellite data with sparse ground measurements constitutes a major challenge in climate modeling. To address this, we propose a strategy to augment the training dataset by introducing unlabeled satellite images paired with…

Machine Learning · Computer Science 2024-01-17 Lei Duan , Ziyang Jiang , David Carlson

When providing the boundary conditions for hydrological flood models and estimating the associated risk, interpolating precipitation at very high temporal resolutions (e.g. 5 minutes) is essential not to miss the cause of flooding in local…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Michiaki Tatsubori , Takao Moriyama , Tatsuya Ishikawa , Paolo Fraccaro , Anne Jones , Blair Edwards , Julian Kuehnert , Sekou L. Remy

In this article, we review and compare a number of methods of spatial prediction. To demonstrate the breadth of available choices, we consider both traditional and more-recently-introduced spatial predictors. Specifically, in our exposition…

Methodology · Statistics 2014-10-29 Jonathan R. Bradley , Noel Cressie , Tao Shi

Intuitively, one would expect a more skillful forecast if predicting weather averaged over one week instead of the weather averaged over one day, and similarly for different spatial averaging areas. However, there are few systematic studies…

Atmospheric and Oceanic Physics · Physics 2022-07-28 Ying Li , Samuel N. Stechmann

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

Applications · Statistics 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

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

Informative sampling designs can impact spatial prediction, or kriging, in two important ways. First, the sampling design can bias spatial covariance parameter estimation, which in turn can bias spatial kriging estimates. Second, even with…

Methodology · Statistics 2021-08-30 Erin M. Schliep , Christopher K. Wikle , Ranadeep Daw

Well performance index (WPI), which is an indicator on how much producing potential a well has, is proposed for Cana Field using the available information from the completion database. I used ordinary kriging and co-kriging to create…

Applications · Statistics 2022-03-24 Rong Lu

A corpus of recent work has revealed that the learned index can improve query performance while reducing the storage overhead. It potentially offers an opportunity to address the spatial query processing challenges caused by the surge in…

Databases · Computer Science 2021-02-16 Songnian Zhang , Suprio Ray , Rongxing Lu , Yandong Zheng

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

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

In Helio- and asteroseismology, it is important to have continuous, uninterrupted, data sets. However, seismic observations usually contain gaps and we need to take them into account. In particular, if the gaps are not randomly distributed,…

Solar and Stellar Astrophysics · Physics 2010-05-03 K. H. Sato , R. A. Garcia , S. Pires , J. Ballot , S. Mathur , B. Mosser , E. Rodriguez , J. L. Starck , K. Uytterhoeven