Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets

Quantitative thematic mapping of walkability in wilderness areas is challenging due to sparse and unreliable data. Unlike urban walkability, which depends on built infrastructure, wilderness walkability is influenced by natural terrain features such as slope, surface stability, and vegetation densit...

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Main Authors: L. Šerić, B. Draško, A. Ivanda
Format: Article
Language:English
Published: Copernicus Publications 2025-07-01
Series:The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Online Access:https://isprs-archives.copernicus.org/articles/XLVIII-4-W13-2025/233/2025/isprs-archives-XLVIII-4-W13-2025-233-2025.pdf
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author L. Šerić
B. Draško
A. Ivanda
author_facet L. Šerić
B. Draško
A. Ivanda
author_sort L. Šerić
collection DOAJ
description Quantitative thematic mapping of walkability in wilderness areas is challenging due to sparse and unreliable data. Unlike urban walkability, which depends on built infrastructure, wilderness walkability is influenced by natural terrain features such as slope, surface stability, and vegetation density. This study leverages 1,620 GPX trail datasets from Croatia to infer walkability by analyzing movement speed across spatial cells. To extract latent walkability patterns, we apply matrix factorization techniques, including Singular Value Decomposition (SVD), Non-Negative Matrix Factorization (NMF), Stochastic Gradient Descent (SGD), Alternating Least Squares (ALS), and Fast Independent Component Analysis (FastICA). Evaluation results indicate that NMF and Truncated SVD yield the most accurate and interpretable walkability maps. These findings highlight the potential of matrix factorization for mapping hidden variables in geospatial studies and suggest applications in related fields such as fire risk assessment.
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spelling doaj-art-49b60c9cb3d54c56926aa13c68aa0f452025-08-20T03:16:51ZengCopernicus PublicationsThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences1682-17502194-90342025-07-01XLVIII-4-W13-202523323810.5194/isprs-archives-XLVIII-4-W13-2025-233-2025Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX DatasetsL. Šerić0B. Draško1A. Ivanda2University of Split Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, CroatiaUniversity of Mostar, Mostar, Bosnia and HerzegovinaUniversity of Split Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, CroatiaQuantitative thematic mapping of walkability in wilderness areas is challenging due to sparse and unreliable data. Unlike urban walkability, which depends on built infrastructure, wilderness walkability is influenced by natural terrain features such as slope, surface stability, and vegetation density. This study leverages 1,620 GPX trail datasets from Croatia to infer walkability by analyzing movement speed across spatial cells. To extract latent walkability patterns, we apply matrix factorization techniques, including Singular Value Decomposition (SVD), Non-Negative Matrix Factorization (NMF), Stochastic Gradient Descent (SGD), Alternating Least Squares (ALS), and Fast Independent Component Analysis (FastICA). Evaluation results indicate that NMF and Truncated SVD yield the most accurate and interpretable walkability maps. These findings highlight the potential of matrix factorization for mapping hidden variables in geospatial studies and suggest applications in related fields such as fire risk assessment.https://isprs-archives.copernicus.org/articles/XLVIII-4-W13-2025/233/2025/isprs-archives-XLVIII-4-W13-2025-233-2025.pdf
spellingShingle L. Šerić
B. Draško
A. Ivanda
Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
title Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets
title_full Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets
title_fullStr Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets
title_full_unstemmed Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets
title_short Evaluating Matrix Factorization Techniques for Thematic Mapping of Wilderness Walkability Using Multiple GPX Datasets
title_sort evaluating matrix factorization techniques for thematic mapping of wilderness walkability using multiple gpx datasets
url https://isprs-archives.copernicus.org/articles/XLVIII-4-W13-2025/233/2025/isprs-archives-XLVIII-4-W13-2025-233-2025.pdf
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