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Mathematical Problems in Engineering
Volume 2016, Article ID 9324793, 7 pages
Research Article

Neural Gas Clustering Adapted for Given Size of Clusters

Department of Applied Informatics and Mathematics, University of SS. Cyril and Methodius, J. Herdu 2, 917 01 Trnava, Slovakia

Received 19 April 2016; Revised 8 September 2016; Accepted 26 October 2016

Academic Editor: Dan Simon

Copyright © 2016 Iveta Dirgová Luptáková et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. K. Jain, M. N. Murty, and P. J. Flynn, “Data clustering: a review,” ACM Computing Surveys, vol. 31, no. 3, pp. 264–323, 1999. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. Pang, F. Xiao, H. Wang, and X. Xue, “A clustering-based grouping model for enhancing collaborative learning,” in Proceedings of the 13th International Conference on Machine Learning and Applications (ICMLA '14), pp. 562–567, Detroit, Mich, USA, December 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Hostovecky, M. Misut, and K. Pribilova, “Web based testing in science education,” in Innovations and Advances in Computing, Informatics, Systems Sciences, Networking and Engineering, T. Sobh and K. Elleithy, Eds., vol. 313 of Lecture Notes in Electrical Engineering, pp. 247–254, Springer, Berlin, Germany, 2015. View at Publisher · View at Google Scholar
  4. M. Šimon, L. Huraj, and M. Čerňanský, “Performance evaluations of IPTables firewall solutions under DDoS attacks,” Journal of Applied Mathematics, Statistics and Informatics, vol. 11, no. 2, pp. 35–45, 2015. View at Google Scholar
  5. K. Lei, S. Wang, W. Song, and Q. Li, “Size-constrained clustering using an initial points selection method,” in Knowledge Science, Engineering and Management, M. Wang, Ed., vol. 8041 of Lecture Notes in Computer Science, pp. 195–205, Springer, Berlin, Germany, 2013. View at Google Scholar
  6. L. Cabyova and J. Ptacin, “Benchmarking comparison of marketing communication of universities in Slovakia,” Communication Today, vol. 5, no. 1, pp. 54–69, 2014. View at Google Scholar
  7. S. Zhu, D. Wang, and T. Li, “Data clustering with size constraints,” Knowledge-Based Systems, vol. 23, no. 8, pp. 883–889, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. M. I. Malinen and P. Fränti, “Balanced K-means for clustering,” in Structural, Syntactic, and Statistical Pattern Recognition, P. Fränti, G. Brown, M. Loog, F. Escolano, and M. Pelillo, Eds., vol. 8621 of Lecture Notes in Computer Science, pp. 32–41, Springer, Berlin, Germany, 2014. View at Publisher · View at Google Scholar
  9. N. Ganganath, C.-T. Cheng, and C. K. Tse, “Data clustering with cluster size constraints using a modified k-means algorithm,” in Proceedings of the 6th International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC '14), pp. 158–161, Shanghai, China, October 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. H. Steinhaus, “Sur la division des corps matériels en parties,” Bulletin L'Académie Polonaise des Science (BAPMAM), vol. 4, no. 12, pp. 801–804, 1957 (French). View at Google Scholar · View at MathSciNet
  11. T. Martinetz and K. Schulten, “A neural gas network learns topologies,” in Artificial Neural Networks, T. Kohonen et al., Ed., pp. 397–402, Elsevier, 1991. View at Google Scholar
  12. T. Kohonen, M. R. Schroeder, and T. S. Huang, Eds., Self-Organizing Maps, Springer, New York, NY, USA, 3rd edition, 2001.
  13. TSPLIB by Gerhard Reinelt, Universitat Heidelberg,
  14. D. Gabriska, G. Michalconok, P. Tanuska, and T. Skulavik, “Analysis of the compensation algorithm stability of disturbance for the phase control systems,” in Proceedings of the 11th IFAC/IEEE International Conference on Programmable Devices and Embedded Systems (PDeS '12), pp. 244–248, Brno, Czech Republic, May 2012. View at Scopus
  15. M. Malinen and P. Fränti, “Balanced k-means implementation,” University of Eastern Finland,