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Local spatial models such as Geographically Weighted Regression (GWR) and Multiscale Geographically Weighted Regression (MGWR) serve as instrumental tools to capture intrinsic contextual effects through the estimates of the local intercepts…

The geographically weighted regression (GWR) is a well-known statistical approach to explore spatial non-stationarity of the regression relationship in spatial data analysis. In this paper, we discuss a Bayesian recourse of GWR. Bayesian…

应用统计 · 统计学 2020-07-07 Zhihua Ma , Yishu Xue , Guanyu Hu

GWR is a popular approach for investigating the spatial variation in relationships between response and predictor variables, and critically for investigating and understanding process spatial heterogeneity. The geographically weighted (GW)…

应用统计 · 统计学 2021-09-30 Alexis Comber , Chris Brunsdon , Martin Callaghan , Paul Harris , Binbin Lu , Nick Malleson

The first law of geography is a cornerstone of spatial analysis, emphasizing that nearby and related locations tend to be more similar, however, defining what constitutes "near" and "related" remains challenging, as different phenomena…

统计方法学 · 统计学 2026-02-02 M. Naser Lessani , Zhenlong Li , Manzhu Yu , Helen Greatrex , Chan Shen

It is widely known that geographically weighted regression(GWR) is essentially same as varying-coefficient model. In the former research about varying-coefficient model, scholars tend to use multidimensional-kernel-based locally weighted…

计量经济学 · 经济学 2018-04-13 Zihao Yuan

Geographically weighted regression (GWR) models handle geographical dependence through a spatially varying coefficient model and have been widely used in applied science, but its general Bayesian extension is unclear because it involves a…

统计方法学 · 统计学 2026-03-18 Yang Liu , Robert J. B. Goudie

Inductive bias is a key factor in spatial regression models, determining how well a model can learn from limited data and capture spatial patterns. This work revisits the inductive biases in Geographically Neural Network Weighted Regression…

机器学习 · 计算机科学 2025-07-23 Zhenyuan Chen

Geographically Weighted Regression (GWR) is a widely recognized technique for modeling spatial heterogeneity. However, it is commonly assumed that the relationships between dependent and independent variables are linear. To overcome this…

机器学习 · 计算机科学 2025-04-08 Jianfei Cao , Dongchao Wang

Geographically weighted regression (GWR) is a popular tool for modeling spatial heterogeneity in a regression model. However, the current weighting function used in GWR only considers the geographical distance, while the attribute…

机器学习 · 计算机科学 2023-05-17 Hone-Jay Chu , Po-Hung Chen , Sheng-Mao Chang , Muhammad Zeeshan Ali , Sumriti Ranjan Patra

Geographical and Temporal Weighted Regression (GTWR) model is an important local technique for exploring spatial heterogeneity in data relationships, as well as temporal dependence due to its high fitting capacity when it comes to real…

统计方法学 · 统计学 2023-09-21 Héctor Araya , Lisandro Fermín , Silfrido Gómez , Tania Roa , Soledad Torres

Spatial statistics is a growing discipline providing important analytical techniques in a wide range of disciplines in the natural and social sciences. In the R package GWmodel, we introduce techniques from a particular branch of spatial…

应用统计 · 统计学 2014-03-18 Isabella Gollini , Binbin Lu , Martin Charlton , Christopher Brunsdon , Paul Harris

Spatial statistical models are commonly used in geographical scenarios to ensure spatial variation is captured effectively. However, spatial models and cluster algorithms can be complicated and expensive. This paper pursues three main…

统计方法学 · 统计学 2023-11-22 Wala Draidi Areed , Aiden Price , Helen Thompson , Conor Hassan , Reid Malseed , Kerrie Mengersen

In this study, we present a collection of local models, termed geographically weighted (GW) models, that can be found within the GWmodel R package. A GW model suits situations when spatial data are poorly described by the global form, and…

统计方法学 · 统计学 2013-12-11 Binbin Lu , Paul Harris , Martin Charlton , Chris Brunsdon

This article focuses on the use of Geographically Weighted Regression (GWR) method to correct air quality low-cost sensors measurements. Those sensors are of major interest in the current era of high-resolution air quality monitoring at…

应用统计 · 统计学 2026-03-30 Jean-Michel Poggi , Bruno Portier , Emma Thulliez

Although a number of studies have developed fast geographically weighted regression (GWR) algorithms for large samples, none of them has achieved linear-time estimation, which is considered a requisite for big data analysis in machine…

统计方法学 · 统计学 2020-04-24 Daisuke Murakami , Narumasa Tsutsumida , Takahiro Yoshida , Tomoki Nakaya , Binbin Lu

A main purpose of spatial data analysis is to predict the objective variable for the unobserved locations. Although Geographically Weighted Regression (GWR) is often used for this purpose, estimation instability proves to be an issue. To…

统计方法学 · 统计学 2024-02-29 Toshiki Sakai , Jun Tsuchida , Hiroshi Yadohisa

Maritime accidents and corresponding consequences vary substantially across spatial dimensions as affected by various factors. Understanding the effects of key factors on maritime accident consequence would be of great benefit to prevent…

物理与社会 · 物理学 2023-02-21 Guorong Li , Kun Gao , Jinxian Weng , Xiaobo Qu

The objective of this study is to investigate spatial structures of error in the assessment of continuous raster data. The use of conventional diagnostics of error often overlooks the possible spatial variation in error because such…

Geographic routing consists in using the position information of nodes to assist in the routing process, and has been a widely studied subject in sensor networks. One of the outstanding challenges facing geographic routing has been its…

分布式、并行与集群计算 · 计算机科学 2014-04-15 Aubin Jarry

In Earth sciences, unobserved factors exhibit non-stationary spatial distributions, causing the relationships between features and targets to display spatial heterogeneity. In geographic machine learning tasks, conventional statistical…

计算机视觉与模式识别 · 计算机科学 2025-02-11 Siqi Du , Hongsheng Huang , Kaixin Shen , Ziqi Liu , Shengjun Tang
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