The truncated Euclidean Hypergraph Average Commute Time Distance-based Clustering Technique

Authors

  • Loc Tran Department of Electronics, Ho Chi Minh City University of Technology, Vietnam | Vietnam National University Ho Chi Minh City, Vietnam
  • Kim Anh Phan Department of Electronics, Ho Chi Minh City University of Technology, Vietnam | Vietnam National University Ho Chi Minh City, Vietnam
  • Hieu Nguyen Department of Electronics, Ho Chi Minh City University of Technology, Vietnam | Vietnam National University Ho Chi Minh City, Vietnam
  • Linh Tran Department of Electronics, Ho Chi Minh City University of Technology, Vietnam | Vietnam National University Ho Chi Minh City, Vietnam
Volume: 15 | Issue: 3 | Pages: 22888-22894 | June 2025 | https://doi.org/10.48084/etasr.10845

Abstract

Clustering is a fundamental problem in data science, with popular approaches including k-means and spectral clustering. However, while k-means is typically limited to tabular datasets and spectral clustering is mainly effective on network data, this work introduces two new methods, the Euclidean hypergraph average commute time distance-based clustering and its truncated variant (i.e., the truncated eigen decomposition technique), which can be applied to any dataset type. Experimental results indicate that both proposed techniques perform at least as well as the conventional Euclidean graph average commute time distance-based clustering and, in some cases, even achieve better results (as measured by the Davies-Bouldin score) because the hypergraph structure captures higher-order relationships among samples. Overall, the proposed methods significantly outperform traditional k-means and spectral clustering when clustering feature vectors.

Keywords:

Euclidean hypergraph, clustering techniques, distant-based

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How to Cite

[1]
L. Tran, K. A. Phan, H. Nguyen, and L. Tran, “The truncated Euclidean Hypergraph Average Commute Time Distance-based Clustering Technique”, Eng. Technol. Appl. Sci. Res., vol. 15, no. 3, pp. 22888–22894, Jun. 2025.

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