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基于网格与分形维数的聚类算法
引用本文:梁敏君,倪志伟,倪丽萍,杨葛钟啸.基于网格与分形维数的聚类算法[J].计算机应用,2009,29(3):830-832.
作者姓名:梁敏君  倪志伟  倪丽萍  杨葛钟啸
作者单位:合肥工业大学,管理学院,合肥,230009;合肥工业大学,过程优化与智能决策教育部重点实验室,合肥,230009
基金项目:国家高技术研究发展计划(863计划),国家自然科学基金重点项目 
摘    要:提出了一种基于网格和分形维数的聚类算法,它结合了网格聚类和分形聚类的优点,克服了传统网格聚类算法聚类质量降低的缺点,改进了分形聚类耗时较大的问题。此算法首先根据网格密度得到初始类别,再利用分形的思想,将未被划分的网格依次归类。实验结果证明,它能够发现任意形状且距离非邻近的聚类,且适用于海量、高维数据。

关 键 词:聚类  分形维数  网格
收稿时间:2008-09-05
修稿时间:2008-10-30

Clustering algorithm based on grid and fractal dimension
LIANG Min-jun,NI Zhi-wei,NI Li-ping,YANGGE Zhong-xiao.Clustering algorithm based on grid and fractal dimension[J].journal of Computer Applications,2009,29(3):830-832.
Authors:LIANG Min-jun  NI Zhi-wei  NI Li-ping  YANGGE Zhong-xiao
Affiliation:1.School of Management;Hefei University of Technology;Hefei Anhui 230009;China;2.Key Laboratory of Process Optimization and Intelligent Decision-making;Ministry of Education;Heifei Anhui 230009;China
Abstract:Combining the approaches based on grid and fractal, a new kind of clustering algorithm called grid and fractal dimension based clustering algorithm (GFDC) was presented. It overcame the shortcoming of low clustering quality in traditional grid-based clustering method and solved the time-consuming problem of fractal clustering method. In the initial stage of the new algorithm, some initial clusters were got according to the grid density. Then in the expansion stage, the unclassified grids were categorized using the idea of fractal. Experimental results confirm that GFDC is able to capture arbitrary shapes and non-neighboring clustering, and can be applied to the massive and high-dimension dataset.
Keywords:cluster  fractal dimension  grid
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