Abstract
Sammon’s mapping is a well-known procedure for mapping data from a higher-dimensional space onto a lower-dimensional one. The original algorithm has a disadvantage. It lacks generalization, which means that new points cannot be added to the obtained map without recalculating it. SAMANN neural network, that realizes Sammon’s algorithm, provides a generalization capability of projecting new data. Speed up of the SAMANN network retraining when the new data points appear has been analyzed in this paper. Two strategies for retraining the neural network that realizes the multidimensional data visualization have been proposed and then the analysis has been made.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Hotelling, H.: Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology 24, 417–441, 498–520 (1993)
Jain, A.K., Dubes, R.C.: Algorithms for Clustering Data. Prentice-Hall, Englewood Cliffs (1988)
Jain, A.K., Mao, J.: Artificial neural network for nonlinear projection of multivariate data. In: Proc. IEEE International Joint Conference Neural Network, vol. 3, pp. 335–340 (1992)
Jain, A.K., Duin, R., Mao, J.: Statistical pattern recognition: A review. IEEE Trans. Pattern Analysis and Machine Intelligence 22(1), 4–37 (2000)
Medvedev, V., Dzemyda, G.: Optimization of the local search in the training for SAMANN neural network. Journal of Global Optimization (to appear)
Mao, J., Jain, A.K.: Artificial neural networks for feature extraction and multivariate data projection. IEEE Trans. Neural Networks 6, 296–317 (1995)
de Ridder, D., Duin, R.P.W.: Sammon’s mapping using neural networks: A comparison. Pattern Recognition Letters 18, 1307–1316 (1997)
Sammon, J.J.: A nonlinear mapping for data structure analysis. IEEE Trans. Computer C-18(5), 401–409 (1969)
Fisher, R.A.: The use of multiple measurements in taxonomic problem. Annual Eugenics 7, Part II, 179–188 (1936)
Australian Credit Approval, http://www.niaad.liacc.up.pt/old/statlog/datasets/australian/australian.doc.html
Torgerson, W.S.: Multidimensional scaling, I: theory and methods. Psychometrica 17, 401–419 (1952)
Kohonen, T.: Self-Organizing Maps, 3rd edn. Springer Series in Information Sciences, vol. 30. Springer, Heidelberg (2001)
Dzemyda, G.: Visualization of a set of parameters characterized by their correlation matrix. Computational Statistics & Data Analysis 36(1), 15–30 (2001)
Dzemyda, G., Kurasova, O.: Heuristic approach for minimizing the projection error in the integrated mapping. European Journal of Operational Research 171, 859–878 (2006)
Dzemyda, G., Kurasova, O.: Comparative analysis of the graphical result presentation in the SOM software. Informatica 13(3), 275–286 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Medvedev, V., Dzemyda, G. (2006). Speed Up of the SAMANN Neural Network Retraining. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_11
Download citation
DOI: https://doi.org/10.1007/11785231_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35748-3
Online ISBN: 978-3-540-35750-6
eBook Packages: Computer ScienceComputer Science (R0)