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Competitive Hopfield Neural Network with Periodic Stochastic Dynamics for Partitional Clustering

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Book cover Advances in Computation and Intelligence (ISICA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5370))

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Abstract

A novel competitive Hopfield network with periodic stochastic dynamics is proposed for the NP-hard partitional clustering problem in this paper. Clustering technique has been applied to a wide range of problems, such as pattern recognition and machine learning. The aim of partitional clustering is to obtain a specified number of data sets from the original data according to certain criteria. The proposed algorithm introduces periodic stochastic dynamics, which helps the neural network escape from local minima and search a possible better solution based on the solution which is obtained in the latest period. The performance is evaluated through several benchmark data sets. The simulation results show that the proposed algorithm outperforms previous approaches, such as k -means, genetic algorithm, particle swarm optimization, differential evolution, combinatorial particle swarm optimization and tabu search.

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References

  1. Jain, A.K., Murty, M.N., Flynn, P.J.: Data Clustering: A Review. ACM Computing Surveys 31(3), 264–323 (1999)

    Article  Google Scholar 

  2. Forgy, E.: Cluster analysis of multivariate data: efficiency versus interpretability of classification. Biometrics 21, 768–769 (1965)

    Google Scholar 

  3. Bhuyan, J.N., Raghavan, V.V., Venkatesh, K.E.: Genetic Algorithm for Clustering with an Ordered Representation. In: Proc. Fourth Int’l Conf. Genetic Algorithms, pp. 408–415 (1991)

    Google Scholar 

  4. Krishna, K., Murty, M.N.: Genetic k-means algorithm. IEEE Trans. on Systems, Man, and Cybernetics-Part B: Cybernetic 29(3), 433–439 (1999)

    Article  Google Scholar 

  5. Paterlini, S., Krink, T.: Differential evolution and particle swarm optimization in partitional clustering. Computational Statistics & Data Analysis 50, 1220–1247 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Jarboui, B., Cheikh, M., Siarry, P., Rebai, A.: Combinatorial particle swarm optimization (CPSO) for partitional clustering problem. Applied Mathematics and Computation 192(2), 337–345 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Liu, Y.G., Zhang, Y., Wu, H., Mao, Y., Chen, K.F.: A tabu search approach for the minimum sum-of-squares clustering problem. Information Sciences 178, 2680–2704 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hopfield, J.J., Tank, D.W.: “neural” computation of decisions in optimization problems. Bio. Cybern. (52), 142–152 (1985)

    MATH  Google Scholar 

  9. Galán-Marín, G., Mérida-Casermeiro, E., Muñoz-Pérez, J.: Modelling competitive Hopfield networks for the maximum clique problem. Computer & Operations Research 30(4), 603–624 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Merz, C., Murphy, P., Aha, D.: UCI repository of machine learning databases. Department of Information and Computer Science, University of California, Irvine (1997), http://mlearn.ics.uci.edu/MLRepository.html

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© 2008 Springer-Verlag Berlin Heidelberg

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Kuang, Z., Bi, W., Wang, J. (2008). Competitive Hopfield Neural Network with Periodic Stochastic Dynamics for Partitional Clustering. In: Kang, L., Cai, Z., Yan, X., Liu, Y. (eds) Advances in Computation and Intelligence. ISICA 2008. Lecture Notes in Computer Science, vol 5370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92137-0_31

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  • DOI: https://doi.org/10.1007/978-3-540-92137-0_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92136-3

  • Online ISBN: 978-3-540-92137-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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