Abstract
In this paper, a new graph based framework for clustering characterization is proposed. In this context, Self Organizing Map (SOM) is one popular method for clustering and visualizing high dimensional data, which is generally succeeded by another clustering methods (partitional or hierarchical) for optimizing the final partition. Recently, we have developed a new SOM clustering method based on graph coloring called McSOM. In the current study, we propose to automatically characterize the classes obtained by this method. To this end, we propose a new approach combining a statistical test with a maximum spanning tree for local features selection in each class. Experiments will be given over several databases for validating our approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Asuncion, A., Newman, D.: UCI machinelearning repository (2007), http://www.ics.uci.edu/mlearn/MLRepository.html
Benabdeslem, K., Lebbah, M.: Feature selection for self organizing map. In: IMAC/IEEE ITI, pp. 45–50 (2007)
Cabanes, G., Bennani, Y.: A simultaneous two-level clustering algorithm for automatic model selection. In: ICMLA, pp. 316–321 (2007)
Cormen, T.H., Leiserson, E.C.E., Rivest, R.L., Stein, C.: Introduction to algorithms. MIT Press and McGraw-Hill (2001)
Dash, M., Choi, K., Scheuermann, P., Liu, H.: Feature selection for clustering-A filter solution. In: Proceedings of the IEEE International Conf. on Data Mining, pp. 115–122 (2002)
Elghazel, H., Benabdeslem, K., Kheddouci, H.: McSOM: Minimal coloring of self organizing map. In: Huang, R., Yang, Q., Pei, J., Gama, J., Meng, X., Li, X. (eds.) Advanced Data Mining and Applications. LNCS (LNAI), vol. 5678, pp. 128–139. Springer, Heidelberg (2009)
Frigui, H., Nasraoui, O.: Unsupervised learning of prototypes and attribute weights. Pattern Recognition 37(3), 567–581 (2004)
Grozavu, N., Bennani, Y., Lebbah, M.: From feature weighting to cluster characterization in topographic unsupervised learning. In: IEEE International Joint Conference on Neural Network, pp. 1005–1010 (2009)
Huang, J.Z., Ng, M.K., Rong, H., Li, Z.: Automated feature weighting. IEEE Trans. Pattern Anal. Mach. Intell. 27, 657–668 (2005)
Hubert, L., Arabie, P.: Comparing partitions. Journal of Classication 2, 193–218 (1985)
Jain, A., Murty, M.: Data clustering: A review. ACM Computing Surveys 31, 264–323 (1999)
Kalyani, M., Sushmita, M.: Clustering and its validation in a symbolic framework. Pattern Recognition Letters 24(14), 2367–2376 (2003)
Kohonen, T.: Self organizing Map. Springer, Berlin (2001)
Lebart, L., Morineau, A., Warwick, K.: Multivariate descriptive statistical analysis. John Wiley and Sons, New York (1984)
MacQueen, J.B.: Some methods for classification and analysis of multivariate observations. In: 5-th Berkeley Symposium on Mathematical Statistics and Probability, pp. 281–297 (1967)
Rand, W.M.: Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association 66, 846–850 (1971)
Vesanto, J., Alhoniemi, E.: Clustering of the self organizing map. IEEE Transactions on Neural Networks 11(3), 586–600 (2000)
Welsh, D.J.A., Powell, M.B.: An upper bound for the chromatic number of a graph and its application to timetabling problems. Computer Journal 10(1), 85–87 (1967)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jaziri, R., Benabdeslem, K., Elghazel, H. (2010). A Graph Based Framework for Clustering and Characterization of SOM . In: Diamantaras, K., Duch, W., Iliadis, L.S. (eds) Artificial Neural Networks – ICANN 2010. ICANN 2010. Lecture Notes in Computer Science, vol 6354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15825-4_51
Download citation
DOI: https://doi.org/10.1007/978-3-642-15825-4_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15824-7
Online ISBN: 978-3-642-15825-4
eBook Packages: Computer ScienceComputer Science (R0)