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Geographic regression models of various descriptions are often applied to identify patterns and anomalies in the determinants of spatially distributed observations. These types of analyses focus on answering why questions about underlying…

Human-Computer Interaction · Computer Science 2023-08-29 Fan Lei , Yuxin Ma , Stewart Fotheringham , Elizabeth Mack , Ziqi Li , Mehak Sachdeva , Sarah Bardin , Ross Maciejewski

Modeling spatial heterogeneity in the data generation process is essential for understanding and predicting geographical phenomena. Despite their prevalence in geospatial tasks, neural network models usually assume spatial stationarity,…

Machine Learning · Computer Science 2025-10-01 Hao Guo , Han Wang , Di Zhu , Lun Wu , A. Stewart Fotheringham , Yu Liu

Bayesian methods and software for spatial data analysis are generally now well established in the scientific community. Despite the wide application of spatial models, the analysis of multivariate spatial data using R-INLA has not been…

GIS-based Multi-Criteria Decision Analysis is a well-known decision support tool that can be used in a wide variety of contexts. It is particularly useful for territorial planning in situations where several actors with different, and…

Applications · Statistics 2020-07-07 Olivier Billaud , Maxence Soubeyrand , Sandra Luque , Maxime Lenormand

In the geospatial domain, universal representation models are significantly less prevalent than their extensive use in natural language processing and computer vision. This discrepancy arises primarily from the high costs associated with…

Artificial Intelligence · Computer Science 2024-12-19 Junlin He , Tong Nie , Wei Ma

We discuss the Gaussian graphical model (GGM; an undirected network of partial correlation coefficients) and detail its utility as an exploratory data analysis tool. The GGM shows which variables predict one-another, allows for sparse…

Methodology · Statistics 2018-02-09 Sacha Epskamp , Lourens J. Waldorp , René Mõttus , Denny Borsboom

Geographic context is often consider relevant to motor insurance risk, yet public actuarial datasets provide limited location identifiers, constraining how this information can be incorporated and evaluated in claim-frequency models. This…

Machine Learning · Statistics 2026-04-24 Sherly Alfonso-Sánchez , Cristián Bravo , Kristina G. Stankova

The literature on Gaussian graphical models (GGMs) contains two equally rich and equally significant domains of research efforts and interests. The first research domain relates to the problem of graph determination. That is, the underlying…

Methodology · Statistics 2014-11-25 Adrian Dobra

Millions of biological sample records collected in the last few centuries archived in natural history collections are un-georeferenced. Georeferencing complex locality descriptions associated with these collection samples is a highly…

Artificial Intelligence · Computer Science 2025-07-14 Kalana Wijegunarathna , Kristin Stock , Christopher B. Jones

Geospatial Knowledge Graphs (GeoKGs) model geoentities (e.g., places and natural features) and spatial relationships in an interconnected manner, providing strong knowledge support for geographic applications, including data retrieval,…

Artificial Intelligence · Computer Science 2024-10-25 Lei Hu , Wenwen Li , Yunqiang Zhu

Inspired by the success of Geographically Weighted Regression and its accounting for spatial variations, we propose GeogGNN -- A graph neural network model that accounts for geographical latitude and longitudinal points. Using a…

Machine Learning · Computer Science 2024-11-08 Muhammad Al-Zafar Khan , Jamal Al-Karaki , Emad Mahafzah

Undirected graphical models have been successfully used to jointly model the spatial and the spectral dependencies in earth observing hyperspectral images. They produce less noisy, smooth, and spatially coherent land cover maps and give top…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Utsav B. Gewali , Sildomar T. Monteiro

There remains an open question about the usefulness and the interpretation of Machine learning (MLE) approaches for discrimination of spatial patterns of brain images between samples or activation states. In the last few decades, these…

Machine Learning · Statistics 2022-09-22 JM Gorriz , R. Martin-Clemente , C. G. Puntonet , A. Ortiz , J. Ramirez , J. Suckling

In low-resource settings, prevalence mapping relies on empirical prevalence data from a finite, often spatially sparse, set of surveys of communities within the region of interest, possibly supplemented by remotely sensed images that can…

Applications · Statistics 2015-05-27 Peter J. Diggle , Emanuele Giorgi

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Machine Learning · Statistics 2019-06-21 Atanas Mirchev , Baris Kayalibay , Maximilian Soelch , Patrick van der Smagt , Justin Bayer

Estimating the geographical range of a species from sparse observations is a challenging and important geospatial prediction problem. Given a set of locations where a species has been observed, the goal is to build a model to predict…

Metric graphs are useful tools for describing spatial domains like road and river networks, where spatial dependence act along the network. We take advantage of recent developments for such Gaussian Random Fields (GRFs), and consider joint…

Area-level models for small area estimation typically rely on areal random effects to shrink design-based direct estimates towards a model-based predictor. Incorporating the spatial dependence of the random effects into these models can…

Methodology · Statistics 2024-04-22 Sho Kawano , Paul A. Parker , Zehang Richard Li

High-dimensional data analysis has been an active area, and the main focuses have been variable selection and dimension reduction. In practice, it occurs often that the variables are located on an unknown, lower-dimensional nonlinear…

Statistics Theory · Mathematics 2012-07-31 Ming-Yen Cheng , Hau-tieng Wu

Global Climate Models (GCMs) are the primary tool to simulate climate evolution and assess the impacts of climate change. However, they often operate at a coarse spatial resolution that limits their accuracy in reproducing local-scale…

Atmospheric and Oceanic Physics · Physics 2023-08-04 Jose González-Abad , Álex Hernández-García , Paula Harder , David Rolnick , José Manuel Gutiérrez
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