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确定聚类数目的一个准则
引用本文:郝立丽,郝立柱. 确定聚类数目的一个准则[J]. 东北数学, 2008, 24(6): 534-544
作者姓名:郝立丽  郝立柱
作者单位: 
摘    要:Aiming to provide an appropriate number K of clusters, in this paper, we propose a new criterion function - H criterion function, whose three properties have also been proved. We validate the performance of the H criterion function on one artificial dataset and three real-world datasets, and the results are almostly consistent with a previous method. The nonparametric criterion we proposed is intuitive, simple and the computational cost is acceptable.

关 键 词:H标准  集群  判别函数  现实世界  参数标准  计算量

A Criterion for Determining the Number of Clusters
HAO Li-li,HAO Li-zhu. A Criterion for Determining the Number of Clusters[J]. Northeastern Mathematical Journal, 2008, 24(6): 534-544
Authors:HAO Li-li  HAO Li-zhu
Affiliation:[1]Institute of Mathematics, Jilin University, Changchun, 130012 [2]Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024 [3]School of Mathematical Sciences, Heilongjiang University, Harbin, 150080
Abstract:Aiming to provide an appropriate number K of clusters, in this paper, we propose a new criterion function -- H criterion function, whose three properties have also been proved. We validate the performance of the H criterion function on one artificial dataset and three real-world datasets, and the results are almostly consistent with a previous method. The nonparametric criterion we proposed is intuitive, simple and the computational cost is acceptable.
Keywords:hierarchical clustering  H criterion function  invariance of linear trans-formation
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