A Clustering Method with Graph Maximum Decoding Information

Fuente: arXiv
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Auteurs principaux: Xu, Xinrun, Lv, Manying, Lian, Zhanbiao, Wu, Yurong, Yan, Jin, Jiang, Shan, Ding, Zhiming
Format: Preprint
Publié: 2024
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author Xu, Xinrun
Lv, Manying
Lian, Zhanbiao
Wu, Yurong
Yan, Jin
Jiang, Shan
Ding, Zhiming
author_facet Xu, Xinrun
Lv, Manying
Lian, Zhanbiao
Wu, Yurong
Yan, Jin
Jiang, Shan
Ding, Zhiming
contents The clustering method based on graph models has garnered increased attention for its widespread applicability across various knowledge domains. Its adaptability to integrate seamlessly with other relevant applications endows the graph model-based clustering analysis with the ability to robustly extract "natural associations" or "graph structures" within datasets, facilitating the modelling of relationships between data points. Despite its efficacy, the current clustering method utilizing the graph-based model overlooks the uncertainty associated with random walk access between nodes and the embedded structural information in the data. To address this gap, we present a novel Clustering method for Maximizing Decoding Information within graph-based models, named CMDI. CMDI innovatively incorporates two-dimensional structural information theory into the clustering process, consisting of two phases: graph structure extraction and graph vertex partitioning. Within CMDI, graph partitioning is reformulated as an abstract clustering problem, leveraging maximum decoding information to minimize uncertainty associated with random visits to vertices. Empirical evaluations on three real-world datasets demonstrate that CMDI outperforms classical baseline methods, exhibiting a superior decoding information ratio (DI-R). Furthermore, CMDI showcases heightened efficiency, particularly when considering prior knowledge (PK). These findings underscore the effectiveness of CMDI in enhancing decoding information quality and computational efficiency, positioning it as a valuable tool in graph-based clustering analyses.
format Preprint
id arxiv_https___arxiv_org_abs_2403_13846
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Clustering Method with Graph Maximum Decoding Information
Xu, Xinrun
Lv, Manying
Lian, Zhanbiao
Wu, Yurong
Yan, Jin
Jiang, Shan
Ding, Zhiming
Machine Learning
Artificial Intelligence
The clustering method based on graph models has garnered increased attention for its widespread applicability across various knowledge domains. Its adaptability to integrate seamlessly with other relevant applications endows the graph model-based clustering analysis with the ability to robustly extract "natural associations" or "graph structures" within datasets, facilitating the modelling of relationships between data points. Despite its efficacy, the current clustering method utilizing the graph-based model overlooks the uncertainty associated with random walk access between nodes and the embedded structural information in the data. To address this gap, we present a novel Clustering method for Maximizing Decoding Information within graph-based models, named CMDI. CMDI innovatively incorporates two-dimensional structural information theory into the clustering process, consisting of two phases: graph structure extraction and graph vertex partitioning. Within CMDI, graph partitioning is reformulated as an abstract clustering problem, leveraging maximum decoding information to minimize uncertainty associated with random visits to vertices. Empirical evaluations on three real-world datasets demonstrate that CMDI outperforms classical baseline methods, exhibiting a superior decoding information ratio (DI-R). Furthermore, CMDI showcases heightened efficiency, particularly when considering prior knowledge (PK). These findings underscore the effectiveness of CMDI in enhancing decoding information quality and computational efficiency, positioning it as a valuable tool in graph-based clustering analyses.
title A Clustering Method with Graph Maximum Decoding Information
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2403.13846