Abstract
Self-Organizing Maps (SOM) is a powerful tool for clustering and discovering patterns in data. Competitive learning in the SOM training process focuses on finding a neuron that is most similar to that of an input vector. Since an update of a neuron only benefits part of the feature map, it can be thought of as a local optimization problem. The ability to move away from a local optimization model into a global optimization model requires the use of game theory techniques to analyze overall quality of the SOM. A new algorithm GTSOM is introduced to take into account cluster quality measurements and dynamically modify learning rates to ensure improved quality through successive iterations.
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Kohonen, T.: Automatic formation of topological maps of patterns in a self-organizing system. In: Proceedings of the Scandinavian Conference on Image Analysis, pp. 214–220 (1981)
Huntsberger, T., Ajjimarangsee, P.: Parallel self-organizing feature maps for unsupervised pattern recognition. International Journal of General Systems 16(4), 357–372 (1990)
Tsao, E., Lin, W., Chen, C.: Constraint satisfaction neural networks for image recognition. Pattern Recognition 26(4), 553–567 (1993)
Cho, S.B.: Ensemble of structure-adaptive self-organizing maps for high performance classification. Inf. Sci. 123(1-2), 103–114 (2000)
Hung, C., Wermter, S.: A dynamic adaptive self-organising hybrid model for text clustering. In: Proceedings of the Third IEEE International Conference on Data Mining, pp. 75–82 (2003)
Hagan, M.T., Demuth, H.B., Beale, M.H.: Neural Network Design. PWS Publishing Company, Boston (1996)
Brachman, R.J., Anand, T.: The process of knowledge discovery in databases: A human-centered approach. In: Advances in knowledge discovery and data mining, American Association for Artificial Intelligence, pp. 37–58 (1996)
Fayyad, U.M., Piatetsky-Shapiro, G., Smyth, P.: From data mining to knowledge discovery: an overview. In: Advances in knowledge discovery and data mining, American Association for Artificial Intelligence, pp. 1–34 (1996)
Chandrasekaran, V., Liu, Z.Q.: Topology constraint free fuzzy gated neural networks for pattern recognition. IEEE Transactions on Neural Networks 9(3), 483–502 (1998)
Pal, S., Dasgupta, B., Mitra, P.: Rough self organizing map. Applied Intelligence 21(3), 289–299 (2004)
Fritzke, B.: Some competitive learning methods. Technical report, Institute for Neural Computation. Ruhr-Universit at Bochum (1997)
Santini, S., Jain, R.: Similarity measures. IEEE Transactions: Pattern Analysis and Machine Intelligence 21(9), 871–883 (1999)
Kolen, J.F., Pollack, J.B.: Back propagation is sensitive to initial conditions. In: Advances in Neural Information Processing Systems, vol. 3, pp. 860–867 (1991)
von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)
Nash, J.: The bargaining problem. Econometrica 18(2), 155–162 (1950)
Roth, A.: The evolution of the labor market for medical interns and residents: a case study in game theory. Political Economy 92, 991–1016 (1984)
Bell, M.: The use of game theory to measure the vulnerability of stochastic networks. IEEE Transactions on Reliability 52(1), 63–68 (2003)
Fischer, J., Wright, R.N.: An application of game-theoretic techniques to cryptography. Discrete Mathematics and Theoretical Computer Science 13, 99–118 (1993)
Gossner, O.: Repeated games played by cryptographically sophisticated players. Technical report, Catholique de Louvain - Center for Operations Research and Economics (1998)
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Herbert, J., Yao, J. (2005). A Game-Theoretic Approach to Competitive Learning in Self-Organizing Maps. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539087_15
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DOI: https://doi.org/10.1007/11539087_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28323-2
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