Abstract
In the article, the influence of neighboring functions and learning rates on self-organizing maps (SOM) has been investigated. The target of a self-organizing map is data clustering and their graphical presentation. Bubble, Gaussian, and heuristic neighboring functions and four learning rates (linear, inverse-of-time, power series, and heuristics) have been analyzed here. The learning rate has been changed according to epochs and iterations. A comparative analysis has been made with three data sets: glass, wine, and zoo. The quantization error has been measured in order to estimate the SOM quality.
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
Chen, D.R., Chang, R.F., Huang, Y.L.: Breast Cancer Diagnosis Using Self-organizing Map for Sonography. Ultrasound in Med. & Biol. 26(3), 405–411 (2000)
Kurasova, O., Molytė, A.: Integration of the Self-organizing Map and Neural Gas with Multidimensional Scaling. Information Technology and Control 40(1), 12–20 (2011)
Kurasova, O., Molytė, A.: Combination of Vector Quantization and Visualization. In: Perner, P. (ed.) MLDM 2009. LNCS (LNAI), vol. 5632, pp. 29–43. Springer, Heidelberg (2009)
Kurasova, O., Molytė, A.: Quality of Quantization and Visualization of Vectors Obtained by Neural Gas and Self-organizing Map. Informatica 22(1), 115–134 (2011)
Dzemyda, G., Kurasova, O.: Heuristic Approach for Minimizing the Projection Error in the Integrated Mapping. European Journal of Operational Research 171(3), 859–878 (2006)
Bernatavičienė, J., Dzemyda, G., Kurasova, O., Marcinkevičius, V.: Optimal Decisions in Combining the SOM with Nonlinear Projection Methods. European Journal of Operational Research 173(3), 729–745 (2006)
Dzemyda, G.: Visualization of a set of Parameters Characterized by Their Correlation Matrix. Computational Statistics and Data Analysis 36(1), 15–30 (2001)
Tan, H.S., George, S.E.: Investigating Learning Parameters in a Standard 2-D SOM Model to Select Good Maps and Avoid Poor Ones. In: Webb, G.I., Yu, X. (eds.) AI 2004. LNCS (LNAI), vol. 3339, pp. 425–437. Springer, Heidelberg (2004)
Kohonen, T.: Self-organizing Maps, 3rd edn. Springer Series in Information Sciences. Springer, Berlin (2001)
Vesanto, J., Himberg, J., Alhoniemi, E., Parhankangas, J.: SOM Toolbox for Matlab 5 (2005), http://www.cis.hut.fi/somtoolbox/documentation/somalg.shtml
Hassinen, P., Elomaa, J., Rönkkö, J., Halme, J., Hodju, P.: Neural Networks Tool – NeNet (1999), http://koti.mbnet.fi/~phodju/nenet/Nenet/General.html
Asuncion, A., Newman, D.J.: UCI Machine Learning Repository, University of California, School of Information and Computer, Irvine, CA (2007), http://www.ics.uci.edu/~mlearn/MLRepository.html
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Stefanovič, P., Kurasova, O. (2011). Influence of Learning Rates and Neighboring Functions on Self-Organizing Maps. In: Laaksonen, J., Honkela, T. (eds) Advances in Self-Organizing Maps. WSOM 2011. Lecture Notes in Computer Science, vol 6731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21566-7_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-21566-7_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21565-0
Online ISBN: 978-3-642-21566-7
eBook Packages: Computer ScienceComputer Science (R0)