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Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

统计理论 · 数学 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

AI has impacted many disciplines and is nowadays ubiquitous. In particular, spatial statistics is in a pivotal moment where it will increasingly intertwine with AI. In this scenario, a relevant question is what relationship spatial…

机器学习 · 计算机科学 2026-02-10 Marius Marinescu

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…

统计方法学 · 统计学 2025-09-16 Bryan Sumalinab , Oswaldo Gressani , Niel Hens , Christel Faes

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…

应用统计 · 统计学 2024-08-01 Yiping Guo , Johnny Siu-Hang Li

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…

机器学习 · 统计学 2022-05-25 Wanfang Chen , Yuxiao Li , Brian J Reich , Ying Sun

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…

统计方法学 · 统计学 2014-10-29 Jonathan R. Bradley , Noel Cressie , Tao Shi

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…

机器学习 · 统计学 2019-12-20 Babak Farmanesh , Arash Pourhabib

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…

统计方法学 · 统计学 2026-04-03 Hao-Yun Huang , Wen-Ting Wang , Ping-Hsun Chiang , Wei-Ying Wu

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…

其他计算机科学 · 计算机科学 2013-08-01 Firas Al Rekabi , Asim El Sheikh

In the Big Data era, with the ubiquity of geolocation sensors in particular, massive datasets exhibiting a possibly complex spatial dependence structure are becoming increasingly available. In this context, the standard probabilistic theory…

机器学习 · 统计学 2024-02-05 Emilia Siviero , Emilie Chautru , Stephan Clémençon

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

统计方法学 · 统计学 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe

Statistical interpolation of chemical concentrations at new locations is an important step in assessing a worker's exposure level. When measurements are available from coastlines, as is the case in coastal clean-up operations in oil spills,…

In the presence of unmeasured spatial confounding, spatial models may actually increase (rather than decrease) bias, leading to uncertainty as to how they should be applied in practice. We evaluated spatial modeling approaches through…

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…

统计方法学 · 统计学 2025-04-23 Arya Kimiaghalam , Andrei Swidinsky , Mohammad Parsa

A problem of current interest is the estimation of spatially distributed processes at locations where measurements are missing. Linear interpolation methods rely on the Gaussian assumption, which is often unrealistic in practice, or…

数据分析、统计与概率 · 物理学 2013-01-09 Milan Žukovič , Dionissios T. Hristopulos

Network service providers and customers are often concerned with aggregate performance measures that span multiple network paths. Unfortunately, forming such network-wide measures can be difficult, due to the issues of scale involved. In…

统计理论 · 数学 2007-06-13 David B. Chua , Eric D. Kolaczyk , Mark Crovella

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…

数据库 · 计算机科学 2021-02-16 Songnian Zhang , Suprio Ray , Rongxing Lu , Yandong Zheng

We propose a new approach to represent nonparametrically the linear dependence structure of a spatio-temporal process in terms of latent common factors. Though it is formally similar to the existing reduced rank approximation methods…

统计方法学 · 统计学 2018-03-20 Da Huang , Qiwei Yao , Rongmao Zhang

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…

信号处理 · 电气工程与系统科学 2025-01-28 Subhankar Ghosh , Arun Sharma , Jayant Gupta , Aneesh Subramanian , Shashi Shekhar

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…

统计方法学 · 统计学 2025-12-01 Yacine Mohamed Idir , Olivier Orfila , Vincent Judalet , Benoit Sagot , Patrice Chatellier
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