Cluster analysis is the name given to a diverse collection of techniques that can be used to classify objects (e.g. individuals, quadrats, species etc). While Kohonen's Self-Organizing Feature Map (SOFM) or Self-Organizing Map (SOM) networks have been successfully applied as a classification tool to various problem domains, including speech recognition, image data compression, image or character recognition, robot control and medical diagnosis, its potential as a robust substitute for clustering analysis remains relatively unresearched. SOM networks combine competitive learning with dimensionality reduction by smoothing the clusters with respect to an a priori grid and provide a powerful tool for data visualization. In this paper, SOM is used for creating a toroidal mapping of two-dimensional lattice to perform cluster analysis on results of a chemical analysis of wines produced in the same region in Italy but derived from three different cultivators, referred to as the “wine recognition data" located in the University of California-Irvine database. The results are encouraging and it is believed that SOM would make an appealing and powerful decision-support system tool for clustering tasks and for data visualization., {"references":["TR Circular, \"Use of Artificial Neural Networks in Geomechanical and\nPavement Systems\", Transportation Research Circular No. E-C012,\nTRB, Washington, DC, 1999.","K. Gopalakrishnan, M.R. Thompson, and A. Manik, \"Rapid Finite-\nElement Based Airport Pavement Moduli Solutions using Neural\nNetworks\", Int J. Comp. Intelligence, 3 (1), 2006, pp. 63-71.","S. Frias, J.E. Conde, M.A. Rodriguez, V. Dohnal, and J.P. Perez-\nTrujillo, \"Metallic content of wines from the Canary Islands (Spain).\nApplication of artificial neural networks to the data analysis\",\nNahrung/Food, 46(5), 2002, pp. 370-375.","SM.J. Benito, M.C. Ortiz, M. Sagrario, L. Sarabia, and M. Iniguez,\nAnalyst, 1999, 124, pp. 547-552.","M.C. Garcia-Parrilla, G.A. Gonzalez, F.J. Heredia, and A.M. Troncoso,\nJ. Agric. Food Chem., 1997, 45, pp. 3487-3492.","M.C. Garcia-Parrilla, F.J. Heredia, A.M. Troncoso, Food Res. Int., 1999,\n32, pp. 433-440.","M.C. Ortiz, A. Herrero, M.S. Sanchez, L. Sarabia, and M. Iniiguez,\nChemom. Intell. Lab. Syst., 1995, 28, pp. 273-285.","S. Vlassides, J.G. Ferrier, D.E. Block, Biotechnol. Bioeng., 2001, 73, pp.\n55-68.","E. Marengo, M. Aceto, V.J. Maurino, Chromatogr. A, 2001, 94, pp.\n123-137.\n[10] L.X. Sun, K. Danzer, G. Thiel, J. Fresenius, Anal. Chem., 1997, 359, pp.\n143-149.\n[11] C.G. Raptis, C.I. Siettos, C.T. Kiranoudis, G.V. Bafas, J. Food Eng.,\n2000, 46, pp. 267-275.\n[12] T. Kohonen, \"Self-Organized Formation of Topologically Correct\nFeature Maps\", Biological Cybernetics, Vol. 43, 1982, pp. 59-69.\n[13] SDL Component Suite, \"Kohonen Network - Background Information\",\nhttp://www.lohninger.com/helpcsuite/kohonen_network_-\n_background_information.htm. Accessed online March 13, 2007.\n[14] T. Kohonen, Self Organization and Associative Memory, Springer\nVerlag, Berlin, 1989.\n[15] G. Deichsel and H.J. Trampisch, Clusteranalyse und\nDiskriminanzanalyse, Gustav Fischer Verlag, Stuttgart, New York,\n1985.\n[16] A. Ultsch and C. Vetter, \"Self-Organizing-Feature-Maps versus\nStatistical Clustering Methods: A Benchmark\", Research Report 0994,\nFG Neuroinformatik & K├╝nstliche Intelligenz, University of Marburg,\nDenmark, 1995.\n[17] .A. Hartigan, Clustering Algorithms, Wiley and Sons, New York, 1975.\n[18] H. Sp├ñth, Cluster Analysis Algorithms, Chichester, UK, 1980.\n[19] M.R. Andernberg, Cluster Analysis for Applications, New York,\nAcademic Press, 1973.\n[20] G.J. McLachlan and K.E. Basford, Mixture Models, New York: Marcel\nDekker, Inc., 1988.\n[21] Murtagh F. and Hern├índez-Pajares M. (1995). The Kohonen Self-\nOrganizing Map Method: An Assesment. Journal of Classification, 12,\n165-190.\n[22] L. Leinonen, T. Hiltunen, K. Torkkola, and J. Kangas, \"Self-organized\nacoustic feature map in detection of fricative-vowel coarticulation\", J.\nAcoust. Soc. Am., 93 (6), 1993, pp. 3468-3474.\n[23] C.N. Manikopoulos, \"Finite state vector quantisation with neural\nnetwork classification of states\", IEEE Proc.-F, 140 (3), 1993, pp. 153-\n161.\n[24] A.D. Bimbo, L. Landi, S. Santini, \"Three-dimensional planar-faced\nobject classification with Kohonen maps\", Opt. Eng., 32 (6), 1993, pp.\n1222-1234.\n[25] M. Sabourin, A. Mitiche, \"Modeling and classi6cation of shape using a\nKohonen associative memory with selective multiresolution\", Neural\nNetworks 6, 1993, pp. 275-283.\n[26] J.A. Walter, K.J. Schulten, \"Implementation of self-organizing neural\nnetworks for visuo-motor control of an industrial robot\", IEEE Trans.\nNeural Networks 4 (1), 1993, pp. 86-95.\n[27] H. Ritter, T. Martinetz, K. Schulten, \"Topology-conserving maps for\nlearning visuo-motorcoordination\", Neural Networks 2, 1989, pp. 159-\n168.\n[28] L. Vercauteren, G. Sieben, M. Praet, G. Otte, R. Vingerhoeds, L.\nBoullart, L. Calliauw, H. Roels, \"The classi6cation of brain tumours by a\ntopological map\", in Proc. of the International Neural Networks\nConference, Paris, 1990, pp. 387-391.\n[29] M. Y. Kiang (2001). \"Extending the Kohonen self-organizing map\nnetworks for clustering analysis\", Computational Statistics & Data\nAnalysis, Vol. 38, pp. 161-180.\n[30] UCI Machine Learning Repository, Wine recognition data,\nftp://ftp.ics.uci.edu/pub/machine-learning-databases/wine/, Apr 16th,\n2005.\n[31] M. Cottrell and J.C. Fort, \"A stochastic model of retinotopy: a selforganizing\nprocess\", Biol. Cybern., 53, 1986, pp. 405-411.\n[32] H. Ritter and K. Schulten, \"On the stationary state of Kohonen-s selforganizing\nsensory mapping\", Biol. Cybern., 54, 1986, pp. 99-106.\n[33] Z.-P. Lo and B. Bavarian, \"On the rate of convergence in topology\npreserving neural networks\", Biol. Cybern., 65, 1991, pp. 55-63.\n[34] S. Mitra and S.K. Pal, \"Self-organizing neural network as a fuzzy\nclassifier\", IEEE Trans. Systems, Man, Cybernetics, 24 (3), 1994, pp.\n385-399.\n[35] D. DeSieno, \"Adding a conscience to competitive learning\", in Proc. of\nthe International Conference on Neural Networks, Vol. I, IEEE Press,\n1988, New York, pp. 117-124.\n[36] D. Merkl and A. Rauber, \"Uncovering the hierarchical structure of text\narchives by using an unsupervised neural network with adaptive\narchitecture\", PADKK, LNAI 1805, 2000, pp. 384-395.\n[37] J. Vesanto and E. Alhoniemi, \"Clustering of the self-organizing map\",\nIEEE Trans. Neural Networks, 11 (3), 2000, pp. 586-600.\n[38] F. Murtagh, \"Interpreting the Kohonen self-organizing feature map using\ncontiguity-constrained clustering\", Pattern Recognition Lett., 16, 1995,\npp. 399-408."]}