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This article critically assesses the utility of the classical statistical technique of Canonical Correlation Analysis (CCA) for studying spatial associations and proposes a new approach to enhance it. Unlike bivariate correlation analysis,…

Methodology · Statistics 2026-02-12 Zhenzhi Jiao , Angela Yao , Ran Tao , Jean-Claude Thill

The Mapper algorithm, a technique within topological data analysis (TDA), constructs a simplified graphical representation of high-dimensional data to uncover its underlying shape and structural patterns. The algorithm has attracted…

General Topology · Mathematics 2025-04-15 Vine Nwabuisi Madukpe , Bright Chukwuma Ugoala , Nur Fariha Syaqina Zulkepli

Geographically Weighted Regression (GWR) is increasingly used in spatial analyses of social and environmental data. It allows spatial heterogeneities in processes and relationships to be investigated through a series of local regression…

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)…

Applications · Statistics 2021-09-30 Alexis Comber , Chris Brunsdon , Martin Callaghan , Paul Harris , Binbin Lu , Nick Malleson

The Mapper algorithm is a visualization technique in topological data analysis (TDA) that outputs a graph reflecting the structure of a given dataset. However, the Mapper algorithm requires tuning several parameters in order to generate a…

Machine Learning · Computer Science 2025-02-19 Enrique Alvarado , Robin Belton , Emily Fischer , Kang-Ju Lee , Sourabh Palande , Sarah Percival , Emilie Purvine

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…

Applications · Statistics 2014-03-18 Isabella Gollini , Binbin Lu , Martin Charlton , Christopher Brunsdon , Paul Harris

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…

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…

Methodology · Statistics 2013-12-11 Binbin Lu , Paul Harris , Martin Charlton , Chris Brunsdon

Constructing an occupancy representation of the environment is a fundamental problem for robot autonomy. Many accurate and efficient methods exist that address this problem but most assume that the occupancy states of different elements in…

Robotics · Computer Science 2018-01-24 Ke Sun , Kelsey Saulnier , Nikolay Atanasov , George J. Pappas , Vijay Kumar

Mapper, a topological algorithm, is frequently used as an exploratory tool to build a graphical representation of data. This representation can help to gain a better understanding of the intrinsic shape of high-dimensional genomic data and…

Genomics · Quantitative Biology 2023-07-19 Erik J. Amézquita , Farzana Nasrin , Kathleen M. Storey , Masato Yoshizawa

As an alternative to using administrative areas for the evaluation of small-area health inequalities, Sauzet et al. suggested to take an ego-centred approach and model the spatial correlation structure of health outcomes at the individual…

Computation · Statistics 2024-05-14 Julia Dyck , Jan-Ole Koslik , Odile Sauzet

The Mapper algorithm is an essential tool for visualizing complex, high dimensional data in topology data analysis (TDA) and has been widely used in biomedical research. It outputs a combinatorial graph whose structure implies the shape of…

Machine Learning · Computer Science 2025-04-24 Yuyang Tao , Shufei Ge

Increasing quantities of scientific data are becoming readily accessible via online repositories such as those provided by Figshare and Zenodo. Geoscientific simulations in particular generate large quantities of data, with several research…

Digital Libraries · Computer Science 2016-09-22 Christian T. Jacobs , Alexandros Avdis

Accurate and up-to-date land cover maps are essential for understanding land use change, a key driver of climate change. Geospatial embeddings offer a more efficient and accessible way to map landscape features, yet their use in real-world…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Ivan Zvonkov , Gabriel Tseng , Inbal Becker-Reshef , Hannah Kerner

Embeddings mapping high-dimensional discrete input to lower-dimensional continuous vector spaces have been widely adopted in machine learning applications as a way to capture domain semantics. Interviewing 13 embedding users across…

Human-Computer Interaction · Computer Science 2022-03-07 Angie Boggust , Brandon Carter , Arvind Satyanarayan

As interactive web-based geovisualization becomes increasingly vital across disciplines, there is a growing need for open-source frameworks that support dynamic, multi-attribute spatial analysis and accessible design. This paper introduces…

Human-Computer Interaction · Computer Science 2025-09-10 Sarigai Sarigai , Liping Yang , Katie Slack , Carolyn Fish , Michaela Buenemann , Qiusheng Wu , Yan Lin , Joseph A. Cook , David Jacobs

Mixup has shown considerable success in mitigating the challenges posed by limited labeled data in image classification. By synthesizing samples through the interpolation of features and labels, Mixup effectively addresses the issue of data…

Machine Learning · Computer Science 2024-07-16 Wentao Zhao , Qitian Wu , Chenxiao Yang , Junchi Yan

Spaceborne Light Detection and Ranging (LiDAR) systems, such as NASA's Global Ecosystem Dynamics Investigation (GEDI), provide forest structure for global carbon assessments. However, geolocation uncertainties (typically 5-15 m) propagate…

Image and Video Processing · Electrical Eng. & Systems 2025-11-25 Narumasa Tsutsumida , Rei Mitsuhashi , Yoshito Sawada , Akira Kato

We are surrounded by overwhelming big data, which brings substantial advances but meanwhile poses many challenges. Geospatial big data comprises a big portion of big data, and is essential and powerful for decision-making if being utilized…

Accurate geolocation is essential for the reliable use of GEDI LiDAR data in footprint-scale applications such as aboveground biomass modeling, data fusion, and ecosystem monitoring. However, residual geolocation errors arising from both…

Computational Engineering, Finance, and Science · Computer Science 2025-11-04 Leonel Corado , Sérgio Godinho , Carlos Alberto Silva , Juan Guerra-Hernández , Francesco Valérioa , Teresa Gonçalves , Pedro Salgueiro
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