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流形上的空间密度聚类算法研究
引用本文:刘峰,刘希玉,刘弘.流形上的空间密度聚类算法研究[J].中国海洋大学学报(自然科学版),2007,37(4):681-684,626.
作者姓名:刘峰  刘希玉  刘弘
作者单位:1. 山东省医学科学院,山东,济南,250062
2. 山东师范大学,山东,济南,250014
基金项目:泰山学者建设工程专项经费项目;山东省自然科学基金;山东省优秀中青年科学家科研奖励基金;山东省教育厅资助项目
摘    要:研究流形上的聚类分析,针对基于密度的空间聚类引入了流形概念,提出1种基于流形的密度聚类算法,该方法将流形的概念与聚类相结合,可以适用于样本为复杂分布的聚类。文中通过实例证明此算法的有效性。

关 键 词:空间聚类  流形  流形学习  主成分分析法  基于密度的聚类
文章编号:1672-5174(2007)04-681-05
修稿时间:2007-05-222007-07-04

Density-Based Spatial Clustering on Manifold
Liu Feng,Liu Xi-Yu,Liu Hong.Density-Based Spatial Clustering on Manifold[J].Periodical of Ocean University of China,2007,37(4):681-684,626.
Authors:Liu Feng  Liu Xi-Yu  Liu Hong
Institution:1. Shandong Academy of Medicine, Jinan 250062, China; 2. Shandong Normal University, Jinan 250014, China
Abstract:Clustering analysis has become an important tool in knowledge engineering and business intelligence, There are rapidly growing number of clustering algorithms, however, one of the most important clustering algorithms is the density based spatial clustering, and its various variations. These algorithms are either based on the density connected chains, or weighted density, or the gravity based connected sets. They seem similar in concept but there does not exist a unified presentation. The purpose of this paper is to give a densitybased spatial clustering on manifold, We propose a new concept on manifold clustering, which can be applied to clustering complex data in space. Examples are given to show the theories.
Keywords:spatial clustering  manifold  manifold learning  principal component analysis(PCA)  density based clustering
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