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Biogeography-Based Optimization for Cluster Analysis

  • Xueyan Wu
  • Hainan Wang
  • Zhimin Chen
  • Zhihai Lu
  • Preetha Phillips
  • Shuihua WangEmail author
  • Yudong ZhangEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 553)

Abstract

With the aim of resolving the issue of cluster analysis more precisely and validly, a new approach was proposed based on biogeography-based optimization (abbreviated as BBO) algorithm. (Method) First, we reformulated the problem with an optimization model based on the variance ratio criterion (VARAC). Then, BBO was presented to search the optimal solution of the VARAC. There are 400 data of four groups in the experimental dataset, which have the degrees of overlapping of three distinct scales. The first one is nonoverlapping, the second one is partial overlapping, and the last is severely overlapping. BBO algorithm was compared with three different state-of-the-art approaches. We ran every algorithm 20 times. In this experiment, our results demonstrate the maximum VARAC values that can be found by BBO. The conclusion is that BBO is predominant which is extremely quick for the issue of clustering analysis.

Keywords

Biogeography-based optimization Genetic algorithm Cluster analysis 

Notes

Acknowledgements

This study was supported by Open Fund of Key Laboratory of Statistical information technology and data mining, State Statistics Bureau (SDL201608), Natural Science Foundation of Jiangsu Province (BK20150982, BK20150983), Open Project Program of the State Key Lab of CAD&CG, Zhejiang University (A1616), NSFC (61602250), Open Fund of Key laboratory of symbolic computation and knowledge engineering of ministry of education, Jilin University (93K172016K17).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  • Xueyan Wu
    • 1
    • 2
    • 3
  • Hainan Wang
    • 1
  • Zhimin Chen
    • 4
    • 5
  • Zhihai Lu
    • 1
    • 6
  • Preetha Phillips
    • 7
    • 8
  • Shuihua Wang
    • 1
    • 9
    Email author
  • Yudong Zhang
    • 1
    • 10
    • 11
    Email author
  1. 1.School of Computer Science and TechnologyNanjing Normal UniversityNanjingChina
  2. 2.Key Laboratory of Statistical Information Technology & Data MiningState Statistics BureauChengduChina
  3. 3.School of Computer and Information EngineeringHenan Normal UniversityXinxiangChina
  4. 4.School of Electronic InformationShanghai Dianji UniversityShanghaiChina
  5. 5.Key Laboratory of Symbolic Computation & Knowledge Engineering of Ministry of EducationJilin UniversityChangchunChina
  6. 6.Guangxi Key Laboratory of Manufacturing System & Advanced Manufacturing TechnologyGuilinChina
  7. 7.School of Natural Sciences and MathematicsShepherd UniversityShepherdstownUSA
  8. 8.West Virginia School of Osteopathic MedicineLewisburgUSA
  9. 9.Department of Electrical EngineeringThe City College of New York, CUNYNew YorkUSA
  10. 10.State Key Lab of CAD & CGZhejiang UniversityHangzhouChina
  11. 11.School of Computing, Mathematics and Digital Technology (SCMDT)Manchester Metropolitan UniversityManchesterUK

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