The Judgment Method Based on F-Test for the Best Clustering Scheme of Self-Organizing

Abstract:

To avoid the optional and uncertainty when judge self-organization clustering results, we have introduced the F-test method what have used in mathematical statistics. The method calculat and compares inner-class distance and inter-class distance respectively what from various clustering schemes, and then get the best clustering scheme through the F-test analysis. The experiment results show that the method is athematically proved rigorously, program operation is stable and reliable, and with larger value both in theoretical research and engineering application.

• Periodical: Advanced Materials Research (Volume 304)
• Pages: 366-370
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.304.366
• Online since: July 2011
• Authors: Dong Sheng Zhang, Chao Ji
• Keywords: Artificial Neural Network (ANN), Clustering, F-Test, Self-Organizing Maps

References

[1] Kohonen T. Self-Organizing Maps[M]. Brelin / Heidelberg, Germany: Springer, 1995, 30.

[2] Vesanto J., Alhoniemi E., Himberg J., Kiviluoto K., Parviainen J. Self-Organizing Map for Data Mining in MATLAB: the SOM Toolbox. Simulation News Europe 1999; 25: 54.

[3] Zhao Shuxu, Dang Jianwu, Ma Haimin. Neural Network Ensemble Based on Data Autonomous Allocation[J]. Journal of Data Acquisition and Processing, 2009, 24(2) : 218-222.

[4] LIU Kai-Di, LIU Xin, ZHAO Qi, ZHOU Shao-Ling. An Unsupervised Learning Algorithm Based on Classification Weight and Mass Center Driving[J]. Acta Automatica Sinica, 2009, 35(5): 526-531.

[5] Han Min, et al. TF-IDF Similarity Based Method for Tag Clustering [J]. Journal of Frontiers of Computer Science and Technology, 2010, 4(3): 240-246.

[6] LIANG He-Song, CAO Dian-Li. Fuzzy Mathematics[M]. Beijing: Science Press, 2007: 68.

[7] Zhang Dongsheng, Ji Chao. Study on Dynamic Fuzzy Clustering and the Best Effect of Clustering [C]. Chinese Association of Automation. Proceedings of the 2009 Chinese Conference on Pattern Recognition , CCPR 2009, and the 1st CJK Joint Workshop on Pattern Recognition, CJKPR. CCPR 2009 & 1st CJKPR, Nanjing China, 2009. Piscataway, NJ , IEEE Computer Society, 2009, (1): 1-5.

DOI: 10.1109/ccpr.2009.5344147

[8] GAO Jun. Principle and simulation examples of Artificial neural network[M]. Beijing: Machinery Industry Press, 2007: 168-173.

[9] YANG Shu-Ying. Pattern Recognition and Intelligent Algorithm-Realization of Matlab Technology[M]. Beijing: Publishing House of Electronics Industry, 2008: 271-298.

[10] GAO Jun, WANG Shi-Tong. Fuzzy Clustering Algorithm with Ranking Features and Identifying Noise Simultaneously[J]. Acta Automatica Sinica, 2009, 35(2): 145-153.

DOI: 10.3724/sp.j.1004.2009.00145

[11] Nils J. Nilsson: Artificial Intelligence: A New Synthesis[M]. Beijing: Machinery Industry Press, 2000: 23-34.

[12] LIANG Baosong, CAO Dianli. Fuzzy Mathematics and its Application. Beijing: Science Press, (2007).