Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System

Clustering analysis, a key step for many data mining problems, can be applied to various fields. However, no matter what kind of clustering method, noise points have always been an important factor affecting the clustering effect. In addition, in spectral clustering, the construction of affinity mat...

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Main Authors: Xiaoling Zhang, Xiyu Liu
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Processes
Subjects:
Online Access:https://www.mdpi.com/2227-9717/9/3/439
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spelling doaj-4b029bc0b0884529ad8fe0ae40bf4e762021-03-01T00:03:10ZengMDPI AGProcesses2227-97172021-02-01943943910.3390/pr9030439Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P SystemXiaoling Zhang0Xiyu Liu1Business School, Shandong Normal University, Jinan 250014, ChinaBusiness School, Shandong Normal University, Jinan 250014, ChinaClustering analysis, a key step for many data mining problems, can be applied to various fields. However, no matter what kind of clustering method, noise points have always been an important factor affecting the clustering effect. In addition, in spectral clustering, the construction of affinity matrix affects the formation of new samples, which in turn affects the final clustering results. Therefore, this study proposes a noise cutting and natural neighbors spectral clustering method based on coupling P system (<i>NCNNSC-CP</i>) to solve the above problems. The whole algorithm process is carried out in the coupled P system. We propose a natural neighbors searching method without parameters, which can quickly determine the natural neighbors and natural characteristic value of data points. Then, based on it, the critical density and reverse density are obtained, and noise identification and cutting are performed. The affinity matrix constructed using core natural neighbors greatly improve the similarity between data points. Experimental results on nine synthetic data sets and six UCI datasets demonstrate that the proposed algorithm is better than other comparison algorithms.https://www.mdpi.com/2227-9717/9/3/439natural neighborsnoisesspectral ClusteringP system
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoling Zhang
Xiyu Liu
spellingShingle Xiaoling Zhang
Xiyu Liu
Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System
Processes
natural neighbors
noises
spectral Clustering
P system
author_facet Xiaoling Zhang
Xiyu Liu
author_sort Xiaoling Zhang
title Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System
title_short Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System
title_full Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System
title_fullStr Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System
title_full_unstemmed Noises Cutting and Natural Neighbors Spectral Clustering Based on Coupling P System
title_sort noises cutting and natural neighbors spectral clustering based on coupling p system
publisher MDPI AG
series Processes
issn 2227-9717
publishDate 2021-02-01
description Clustering analysis, a key step for many data mining problems, can be applied to various fields. However, no matter what kind of clustering method, noise points have always been an important factor affecting the clustering effect. In addition, in spectral clustering, the construction of affinity matrix affects the formation of new samples, which in turn affects the final clustering results. Therefore, this study proposes a noise cutting and natural neighbors spectral clustering method based on coupling P system (<i>NCNNSC-CP</i>) to solve the above problems. The whole algorithm process is carried out in the coupled P system. We propose a natural neighbors searching method without parameters, which can quickly determine the natural neighbors and natural characteristic value of data points. Then, based on it, the critical density and reverse density are obtained, and noise identification and cutting are performed. The affinity matrix constructed using core natural neighbors greatly improve the similarity between data points. Experimental results on nine synthetic data sets and six UCI datasets demonstrate that the proposed algorithm is better than other comparison algorithms.
topic natural neighbors
noises
spectral Clustering
P system
url https://www.mdpi.com/2227-9717/9/3/439
work_keys_str_mv AT xiaolingzhang noisescuttingandnaturalneighborsspectralclusteringbasedoncouplingpsystem
AT xiyuliu noisescuttingandnaturalneighborsspectralclusteringbasedoncouplingpsystem
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