Abstract
This paper describes a new solution to the optimization task of approximation by radial-basis-function (RBF) neural network. The proposed method is addressed to the problem of variable shape parameters for data using the RBF. It involves the max-min algorithm, the RBF neural network, the algorithm for placing new neuron’s centers and the structure of the future deep learning complex neural network (NN).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Collins English Dictionary. https://www.collinsdictionary.com/dictionary/english/approximation. Accessed 22 May 2018
Skala, V.: RBF Interpolation and approximation of large span data sets. In: Corfu, Greece, to Appear in IEEE. MCSI 2017, pp. 212–218 (2018). https://doi.org/10.1109/mcsi.2017.44
Skala, V.: Least square error method robustness of computation: what is not usually considered and taught. In: FedCSIS 2017, pp. 537–541. IEEE (2017)
Skala, V.: RBF interpolation with CSRBF of large data sets. In: ICCS 2017. Proceedia Computer Science, vol. 108, pp. 2433–2437. Elsevier (2017)
Majdisova, Z., Skala, V.: Big geo data surface approximation using radial basis functions: a comparative study. Comput. Geosci. 109, 51–58 (2017). https://doi.org/10.1016/j.cageo.2017.08.007. ISSN 0098-3004
Majdisova, Z., Skala, V.: Radial basis function approximations: comparison and applications. Appl. Math. Model. 54, 728–743 (2017)
Majdisova, Z., Skala, V.: A radial basis function approximation for large datasets. In: SIGRAD 2016, Sweden, pp. 9–14 (2016)
Majdisova, Z., Skala, V.: A new radial basis function approximation with reproduction. In: CGVCVIP 2016, Portugal, pp. 215–222 (2016). ISBN 978-989-8533-52-4
Filatova, T.V.: Application of neural networks for data approximation. Cybernetics, 121–125 (2004)
Pereira, G., Oliveira, M., Ebecken, N.: Genetic optimization of artificial neural networks to forecast Virioplankton abundance from cytometric data. J. Intell. Learn. Syst. Appl. 5(1), 57–66 (2013)
Han, H.G., Wang, L.D., Qiao, J.F.: A spiking-based mechanism for self-organizing RBF neural networks. In: International Joint Conference on Neural Networks (IJCNN), Beijing, China (2014)
Nekipelov, N.: Introduction to RBF networks. Data Analysis Technologies. https://basegroup.ru/print/218. Accessed 11 May 2018
Xie, T., Yu, H., Hewlett, J., Rózycki, P.: Fast and efficient second-order method for training radial basis function networks. IEEE Trans. Neural Netw. Learn. Syst. 23, 609–619 (2012)
Soldatova, O.P.: Neuroinformatics. In: Lecture Course, Samara, pp. 43–62 (2013)
Osovskiy, S.: Neural networks for information processing/trans. In: Finance and Statistic, p. 145. IDM, Rudinsky (2002)
Broomhead, D., Lowe, D.S.: Radial basis functions, multivariable functional interpolation and adaptive networks. Technical report, DTIC Document (1988)
Park, J., Sandberg, I.W.: Universal approximation using radial-basis-function networks. Neural Comput. 3(2), 246–257 (1991)
Yuqing, S., Junfei, Q., Honggui, H.: Structure design for RBF neural network based on improved K-means algorithm. In: CCDC 2016, Yinchuan, Chinese (2016)
Xiao, D., Li, X., Lin, X., Shi, C.: A time series prediction method based on self-adaptive RBF neural network. In: ICCSNT 2016, Harbin, China (2016)
Pazouki, M., Wu, Z., Yang, Z.: An efficient learning method for RBF neural networks. In: International Joint Conference on Neural Networks (IJCNN), Killarney, Ireland (2015)
Guo, Y., Wang, H.: Hybrid learning algorithm based modified particle swarm clustering for RBF neural network. In: 8th International Symposium on Computational Intelligence and Design (ISCID), Hangzhou, China (2015)
Guoqiang, Y., Weiguang, L., Hao, W.: Study of RBF neural network based on PSO algorithm in nonlinear system identification. In: 8th International Conference on Intelligent Computation Technology and Automation (ICICTA), Nanchang, China (2015)
Acknowledgement
The author would like to thank their colleagues at the University of West Bohemia, Plzen, for their discussions and suggestions and anonymous reviewers for their valuable comments and hints provided. The research was supported by projects Czech Science Foundation (GACR) No. 17-05534S and SGS 2016-013.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Martynova, M. (2019). A Novel Approach of the Approximation by Patterns Using Hybrid RBF NN with Flexible Parameters. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Computational and Statistical Methods in Intelligent Systems. CoMeSySo 2018. Advances in Intelligent Systems and Computing, vol 859. Springer, Cham. https://doi.org/10.1007/978-3-030-00211-4_21
Download citation
DOI: https://doi.org/10.1007/978-3-030-00211-4_21
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00210-7
Online ISBN: 978-3-030-00211-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)