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Regionalization is the task of dividing up a landscape into homogeneous patches with similar properties. Although this task has a wide range of applications, it has two notable challenges. First, it is assumed that the resulting regions are…

Machine Learning · Computer Science 2019-05-22 Shuai Yuan , Pang-Ning Tan , Kendra Spence Cheruvelil , Sarah M. Collins , Patricia A. Soranno

Regionalization aims to partition a spatial domain into contiguous regions that share similar characteristics, enabling more effective spatial analysis, policy making, and resource management. Existing approaches for spatial regionalization…

Machine Learning · Statistics 2026-05-07 Jiayu Weng , Alec Kirkley

The modifiable areal unit problem and the ecological fallacy are known problems that occur when modeling multiscale spatial processes. We investigate how these forms of spatial aggregation error can guide a regionalization over a spatial…

Methodology · Statistics 2015-12-11 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

We exploit the information derived from geographical coordinates to endogenously identify spatial regimes in technologies that are the result of a variety of complex, dynamic interactions among site-specific environmental variables and…

Applications · Statistics 2019-08-02 Anna Gloria Billé , Cristina Salvioni , Roberto Benedetti

Regionalization, spatially contiguous clustering, provides a means to reduce the effect of noise in sampled data and identify homogeneous areas for policy development among many other applications. Existing regionalization methods require…

Physics and Society · Physics 2022-10-11 Alec Kirkley

This review article focuses on regularised estimation procedures applicable to geostatistical and spatial econometric models. These methods are particularly relevant in the case of big geospatial data for dimensionality reduction or model…

Methodology · Statistics 2026-04-30 Philipp Otto , Alessandro Fassò , Paolo Maranzano

This paper presents an innovative extension of spatial autoregressive (SAR) models, introducing spatial coefficients specific to each spatial region that evolve over time. The proposed estimation methodology covers both homoscedastic and…

Methodology · Statistics 2025-02-24 N. A. Cruz , D. A. Romero , O. O. Melo

In this paper, we conduct a simulation study with subject-level data to evaluate conventional meta-regression approaches (study-level random, fixed, and mixed effects) against seven methodology specifications new to meta-regressions that…

Econometrics · Economics 2025-07-18 Ali Habibnia , Jonathan Gendron

Multiscale and inhomogeneous molecular systems are challenging topics in the field of molecular simulation. In particular, modeling biological systems in the context of multiscale simulations and exploring material properties are driving a…

Computational Physics · Physics 2017-12-06 Horacio V. Guzman , Christoph Junghans , Kurt Kremer , Torsten Stuehn

Empirical analysis in economics often faces the difficulty that the data is correlated and heterogeneous in some unknown form. Spatial parametric approaches have been widely used to account for dependence structures, but the problem of…

Methodology · Statistics 2017-02-09 Anna Gloria Billé , Roberto Benedetti , Paolo Postiglione

The impact of an extreme climate event depends strongly on its geographical scale. Max-stable processes can be used for the statistical investigation of climate extremes and their spatial dependencies on a continuous area. Most existing…

Methodology · Statistics 2023-06-14 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

Clustering analysis has received considerable attention in spatial data mining for several years. With the rapid development of the geospatial information technologies, the size of spatial information data is growing exponentially which…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-25 Xia Yue , Wang Man , Jun Yue , Guangcao Liu

A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into…

Applications · Statistics 2022-01-17 Hsien-Wei Chen

Acquiring information on spatial phenomena can be costly and time-consuming. In this context, to obtain reliable global knowledge, the choice of measurement location is a crucial issue. Space-lling designs are often used to control…

Applications · Statistics 2024-02-15 Sylvain Coly , Pierre Druilhet , Nourddine Azzaoui

Spatial regression or geographically weighted regression models have been widely adopted to capture the effects of auxiliary information on a response variable of interest over a region. In contrast, relationships between response and…

Methodology · Statistics 2021-04-29 Shonosuke Sugasawa , Daisuke Murakami

Spatial regression is widely used for modeling the relationship between a dependent variable and explanatory covariates. Oftentimes, the linear relationships vary across space, when some covariates have location-specific effects on the…

Methodology · Statistics 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

In modern spatial statistics, the structure of data that is collected has become more heterogeneous. Depending on the type of spatial data, different modeling strategies for spatial data are used. For example, a kriging approach for…

Methodology · Statistics 2019-06-04 Craig Wang , Reinhard Furrer

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee

Distributed data mining techniques and mainly distributed clustering are widely used in the last decade because they deal with very large and heterogeneous datasets which cannot be gathered centrally. Current distributed clustering…

Databases · Computer Science 2018-02-02 Malika Bendechache , M-Tahar Kechadi

Due to spatial dependence -- often characterized as complex and non-linear -- model misspecification is a prevalent and critical issue in spatial data analysis and prediction. As the data, and thus model performance, is heterogeneous,…

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