A Comprehensive Survey on Spectral Clustering with Graph Structure Learning

Fuente: arXiv
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Auteurs principaux: Berahmand, Kamal, Saberi-Movahed, Farid, Sheikhpour, Razieh, Li, Yuefeng, Jalili, Mahdi
Format: Preprint
Publié: 2025
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author Berahmand, Kamal
Saberi-Movahed, Farid
Sheikhpour, Razieh
Li, Yuefeng
Jalili, Mahdi
author_facet Berahmand, Kamal
Saberi-Movahed, Farid
Sheikhpour, Razieh
Li, Yuefeng
Jalili, Mahdi
contents Spectral clustering is a powerful technique for clustering high-dimensional data, utilizing graph-based representations to detect complex, non-linear structures and non-convex clusters. The construction of a similarity graph is essential for ensuring accurate and effective clustering, making graph structure learning (GSL) central for enhancing spectral clustering performance in response to the growing demand for scalable solutions. Despite advancements in GSL, there is a lack of comprehensive surveys specifically addressing its role within spectral clustering. To bridge this gap, this survey presents a comprehensive review of spectral clustering methods, emphasizing on the critical role of GSL. We explore various graph construction techniques, including pairwise, anchor, and hypergraph-based methods, in both fixed and adaptive settings. Additionally, we categorize spectral clustering approaches into single-view and multi-view frameworks, examining their applications within one-step and two-step clustering processes. We also discuss multi-view information fusion techniques and their impact on clustering data. By addressing current challenges and proposing future research directions, this survey provides valuable insights for advancing spectral clustering methodologies and highlights the pivotal role of GSL in tackling large-scale and high-dimensional data clustering tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13597
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Comprehensive Survey on Spectral Clustering with Graph Structure Learning
Berahmand, Kamal
Saberi-Movahed, Farid
Sheikhpour, Razieh
Li, Yuefeng
Jalili, Mahdi
Machine Learning
Spectral clustering is a powerful technique for clustering high-dimensional data, utilizing graph-based representations to detect complex, non-linear structures and non-convex clusters. The construction of a similarity graph is essential for ensuring accurate and effective clustering, making graph structure learning (GSL) central for enhancing spectral clustering performance in response to the growing demand for scalable solutions. Despite advancements in GSL, there is a lack of comprehensive surveys specifically addressing its role within spectral clustering. To bridge this gap, this survey presents a comprehensive review of spectral clustering methods, emphasizing on the critical role of GSL. We explore various graph construction techniques, including pairwise, anchor, and hypergraph-based methods, in both fixed and adaptive settings. Additionally, we categorize spectral clustering approaches into single-view and multi-view frameworks, examining their applications within one-step and two-step clustering processes. We also discuss multi-view information fusion techniques and their impact on clustering data. By addressing current challenges and proposing future research directions, this survey provides valuable insights for advancing spectral clustering methodologies and highlights the pivotal role of GSL in tackling large-scale and high-dimensional data clustering tasks.
title A Comprehensive Survey on Spectral Clustering with Graph Structure Learning
topic Machine Learning
url https://arxiv.org/abs/2501.13597