Abstract
The cross-validation method is commonly applied in the design of Artificial Neural Networks (ANNs). In the paper the design of ANN is related to searching for an optimal value of the regularization coefficient or the number of neurons in the hidden layer of network. Instead of the cross-validation procedure, the Maximum of Marginal Likelihood (MML) criterion, taken from Bayesian approach, can be used. The MML criterion, applied to searching for the optimal values of design parameters of neural networks, is illustrated on two examples. The obtained results enable us to formulate conclusions that the MML criterion can be used instead of the cross-validation method (especially for small data sets), since it permits the design of ANNs without formulation of a validation set of patterns.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Haykin, S.: Neural Networks: A Comprehensive Introduction. Prentice-Hall, Englewood Cliffs (1999)
Waszczyszyn, Z. (ed.): Neural Networks in the Analysis and Design of Structures. CISM Courses and Lectures, vol. 404. Springer, Wien-New York (1999)
Bishop, C.M.: Neural Networks for Pattern Recognition. Oxford University Press, Oxford (1995)
Tipping, M.E.: Bayesian Inference: An Introduction to Principles and Practice in Machine Learning. In: Bousquet, O., von Luxburg, U., Rätsch, G. (eds.) Machine Learning 2003. LNCS (LNAI), vol. 3176, pp. 41–62. Springer, Heidelberg (2004)
Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, Heidelberg (2006)
Kuźniar, K.: Analysis of vibrations of medium height buildings subjected to mining tremors with application of neural networks (in Polish). Cracow University of Technology (2004)
Kuźniar, K., Waszczyszyn, Z.: Neural networks for the simulation and identification of building subjected to paraseismic excitations. In: Lagaros, N.D., Tsompanakis, Y. (eds.) Intelligent Computational Paradigms in Earthquake Engineering. Idea Group Publishing (2007)
Ciesielski, R., Kuźniar, K., Maciag, E., Tatara, T.: Empirical formulae for fundamental natural periods of buildings with load bearing walls. Archives of Civil Engineering 38, 199–291 (1992)
Nabney, I.T.: Netlab: Algorithms for Pattern Recognition. Springer, London (2002)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Waszczyszyn, Z., Słoński, M. (2008). Maximum of Marginal Likelihood Criterion instead of Cross-Validation for Designing of Artificial Neural Networks. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2008. ICAISC 2008. Lecture Notes in Computer Science(), vol 5097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69731-2_19
Download citation
DOI: https://doi.org/10.1007/978-3-540-69731-2_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69572-1
Online ISBN: 978-3-540-69731-2
eBook Packages: Computer ScienceComputer Science (R0)