Abstract
The RBF network is commonly used for classification and function approximation. The center and radius of the activation function of neurons is an important parameter to be found before the network training. This paper presents a method based on computational geometry to find these coefficients without any parameters provided by the user. The method is compared with a SVM and experimental results showed that our approach is promising.
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Alcalá-Fdez, J., Fernández, A., Luengo, J., Derrac, J., García, S., Sánchez, L., Herrera, F.: Keel data-mining software tool: Data set repository, integration of algorithms and experimental analysis framework. Journal of Multiple-Valued Logic & Soft Computing 17 (2011)
Bache, K., Lichman, M.: UCI machine learning repository (2013), http://archive.ics.uci.edu/ml
Boser, B.E., Guyon, I.M., Vapnik, V.N.: A training algorithm for optimal margin classifiers. In: Proceedings of the Fifth Annual Workshop on Computational Learning Theory, pp. 144–152. ACM (1992)
Bouchired, S., Ibnkahla, M., Roviras, D., Castanie, F.: Equalization of satellite mobile communication channels using combined self-organizing maps and rbf networks. In: Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, 1998, vol. 6, pp. 3377–3379. IEEE (1998)
Chang, C.C., Lin, C.J.: LIBSVM: A library for support vector machines. ACM Transactions on Intelligent Systems and Technology 2, 27:1–27:27 (2011), available at http://www.csie.ntu.edu.tw/~cjlin/libsvm
Cortes, C., Vapnik, V.: Support-vector networks. Machine Learning 20(3), 273–297 (1995)
Cover, T.M.: Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition. IEEE Transactions on Electronic Computers (3), 326–334 (1965)
De Berg, M., Van Kreveld, M., Overmars, M., Schwarzkopf, O.C.: Computational Geometry: Algorithms and Applications, 2nd edn. Springer (2000)
Guyon, I., Boser, B., Vapnik, V.: Automatic capacity tuning of very large vc-dimension classifiers. Advances in Neural Information Processing Systems, 147 (1993)
Kohavi, R., et al.: A study of cross-validation and bootstrap for accuracy estimation and model selection. In: International Joint Conference on Artificial Intelligence, pp. 1137–1145. Lawrence Erlbaum Associates Ltd (1995)
Sing, J.K., Basu, D.K., Nasipuri, M., Kundu, M.: Improved k-means algorithm in the design of rbf neural networks. In: TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region, vol. 2, pp. 841–845. IEEE (2003)
Wilcoxon, F.: Individual comparisons by ranking methods. Biometrics Bulletin 1(6), 80–83 (1945)
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Torres, L.C.B., Lemos, A.P., Castro, C.L., Braga, A.P. (2014). A Geometrical Approach for Parameter Selection of Radial Basis Functions Networks. In: Wermter, S., et al. Artificial Neural Networks and Machine Learning – ICANN 2014. ICANN 2014. Lecture Notes in Computer Science, vol 8681. Springer, Cham. https://doi.org/10.1007/978-3-319-11179-7_67
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DOI: https://doi.org/10.1007/978-3-319-11179-7_67
Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-11179-7
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