A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation

Similarity measurement has been a prevailing research topic in geographic information science. Geometric similarity measurement in scaling transformation (GSM_ST) is critical to ensure spatial data quality while balancing detailed information with distinctive features. However, GSM_ST is an uncertai...

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Main Authors: Yu, Huafei, Ai, Tinghua, Yang, Min, Huang, Weiming, Harrie, Lars
Other Authors: School of Computer Science and Engineering
Format: Journal Article
Language:English
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/10356/173624
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author Yu, Huafei
Ai, Tinghua
Yang, Min
Huang, Weiming
Harrie, Lars
author2 School of Computer Science and Engineering
author_facet School of Computer Science and Engineering
Yu, Huafei
Ai, Tinghua
Yang, Min
Huang, Weiming
Harrie, Lars
author_sort Yu, Huafei
collection NTU
description Similarity measurement has been a prevailing research topic in geographic information science. Geometric similarity measurement in scaling transformation (GSM_ST) is critical to ensure spatial data quality while balancing detailed information with distinctive features. However, GSM_ST is an uncertain problem due to subjective spatial cognition, global and local concerns, and geometric complexity. Traditional rule-based methods considering multiple consistent conditions require subjective adjustments to characteristics and weights, leading to poor robustness in addressing GSM_ST. This study proposes an unsupervised representation learning framework for automated GSM_ST, using a Graph Autoencoder Network (GAE) and drainage networks as an example. The framework involves constructing a drainage graph, designing the GAE architecture for GSM_ST, and using Cosine similarity to measure similarity based on the GAE-derived drainage embeddings in different scales. We perform extensive experiments and compare methods across 71 drainage networks during five scaling transformations. The results show that the proposed GAE method outperforms other methods with a satisfaction ratio of around 88% and has strong robustness. Moreover, our proposed method also can be applied to other scenarios, such as measuring similarity between geographical entities at different times and data from different datasets.
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spelling ntu-10356/1736242024-02-23T15:35:51Z A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation Yu, Huafei Ai, Tinghua Yang, Min Huang, Weiming Harrie, Lars School of Computer Science and Engineering Computer and Information Science Geometric similarity measurement Drainage network Similarity measurement has been a prevailing research topic in geographic information science. Geometric similarity measurement in scaling transformation (GSM_ST) is critical to ensure spatial data quality while balancing detailed information with distinctive features. However, GSM_ST is an uncertain problem due to subjective spatial cognition, global and local concerns, and geometric complexity. Traditional rule-based methods considering multiple consistent conditions require subjective adjustments to characteristics and weights, leading to poor robustness in addressing GSM_ST. This study proposes an unsupervised representation learning framework for automated GSM_ST, using a Graph Autoencoder Network (GAE) and drainage networks as an example. The framework involves constructing a drainage graph, designing the GAE architecture for GSM_ST, and using Cosine similarity to measure similarity based on the GAE-derived drainage embeddings in different scales. We perform extensive experiments and compare methods across 71 drainage networks during five scaling transformations. The results show that the proposed GAE method outperforms other methods with a satisfaction ratio of around 88% and has strong robustness. Moreover, our proposed method also can be applied to other scenarios, such as measuring similarity between geographical entities at different times and data from different datasets. Published version This work was supported by the National Natural Science Foundation of China [grant number 41531180], the National Natural Science Foundation of China [grant number 42071450], and the China Scholarship Council (CSC) [grant number 202206270076]. Weiming Huang acknowledges the financial support from the Knut and Alice Wallenberg Foundation, and Lars Harrie acknowledges the financial support from Lund University. 2024-02-19T07:17:26Z 2024-02-19T07:17:26Z 2023 Journal Article Yu, H., Ai, T., Yang, M., Huang, W. & Harrie, L. (2023). A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation. International Journal of Digital Earth, 16(1), 1828-1852. https://dx.doi.org/10.1080/17538947.2023.2212920 1753-8947 https://hdl.handle.net/10356/173624 10.1080/17538947.2023.2212920 2-s2.0-85159758425 1 16 1828 1852 en International Journal of Digital Earth © 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent. application/pdf
spellingShingle Computer and Information Science
Geometric similarity measurement
Drainage network
Yu, Huafei
Ai, Tinghua
Yang, Min
Huang, Weiming
Harrie, Lars
A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
title A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
title_full A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
title_fullStr A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
title_full_unstemmed A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
title_short A graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
title_sort graph autoencoder network to measure the geometric similarity of drainage networks in scaling transformation
topic Computer and Information Science
Geometric similarity measurement
Drainage network
url https://hdl.handle.net/10356/173624
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