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王秋萍1 丁成1 王晓峰1

(1.西安理工大学理学院, 西安 710054)

【摘要】为解决K-means聚类对初始聚类中心敏感和易陷入局部最优的问题,提出一种基于改进磷虾群算法与K-harmonic means的混合数据聚类算法.提出一种具有莱维飞行和交叉算子的磷虾群算法以改进磷虾群算法易陷入局部极值和搜索效率低的不足,即在每次标准磷虾群位置更新后加入新的位置更新方法进一步搜索以提高种群的搜索能力,同时交替使用莱维飞行与交叉算子对当前群体位置进行贪婪搜索以增强算法的全局搜索能力. 20个标准测试函数的实验结果表明,改进算法不易陷入局部最优解,可在较少的迭代次数下有效地搜索到全局最优解的同时保证算法的稳定性.将改进的磷虾群算法与K调和均值聚类融合,即在每次迭代后用最优个体或经过K调和均值迭代一次后的新个体替换最差个体. 5个UCI真实数据集的测试结果表明:融合后的聚类算法能够克服K-means对初始聚类中心敏感的不足且具有较强的全局收敛性.

【关键词】 磷虾群算法;莱维飞行;交叉算子;K调和均值聚类;混合聚类;


【基金资助】 国家自然科学基金项目(61772416);

A hybrid data clustering algorithm based on improved krill herd algorithm and KHM clustering

WANG Qiu-ping1 DING Cheng1 WANG Xiao-feng1

(1.Faculty of Sciences, Xi’an University of Technology, Xi’an, Shaanxi Province, China 710054)
【Knowledge Link】cuckoo search

【Abstract】 K-means clustering is sensitive to initial clustering centroids and prone to fall into local optimum. A hybrid data clustering algorithm based on an improved krill herd (KH) algorithm and K-harmonic means clustering is proposed in order to solve the problem. Firstly, an improved KH algorithm with Lévy flight and crossover operator is proposed to avoid local best and low search efficiency of the KH algorithm. After each updating of standard krill herd position, a new position updating method is adopted to further improve the search ability of the population. At the same time, Lévy flight and crossover operators are used alternately to carry out greedy search for the current herd position to enhance the global search ability of the algorithm. The experimental results of 20 benchmark functions show that the improved algorithm is not easy to fall into the local best, which can find the global optimal solution with smaller iteration number and ensure the stability of the algorithm. Then, the improved KH algorithm and the K-harmonic means clustering algorithm are combined to solve the problem of data clustering. The worst individual is replaced by the best individual or the new individual generated by the K-harmonic means algorithm after each iteration. The test results of five real data sets from UCI show that the integrated clustering algorithm overcomes the defect that K-means is sensitive to the initial clustering centroid with strong global convergence.

【Keywords】 krill herd algorithm; Lévy flight; crossover operator; K-harmonic means clustering; hybrid clustering;


【Funds】 National Natural Science Foundation of China (61772416);

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This Article


CN: 21-1124/TP

Vol 35, No. 10, Pages 2449-2458

October 2020


Article Outline



  • 0 Introduction
  • 1 Improved KH algorithm
  • 2 Hybrid data clustering algorithm based on improved KH and KHM
  • 3 Conclusions
  • References