Abstract
Radial Basis Function (RBF) networks are one of the most popular and applied type of neural networks. RBF networks are universal approximators and considered as special form of multilayer feedforward neural networks that contain only one hidden layer with Gaussian based activation functions. This chapter trains such NNs with several optimisation algorithms and compares their performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lowe, D., & Broomhead, D. (1988). Multivariable functional interpolation and adaptive networks. Complex Systems, 2(3), 321–355.
Du, K. L., & Swamy, M. N. (2006). Neural networks in a softcomputing framework. Springer Science & Business Media.
Hunter, D., Yu, H., Pukish, M. S, I. I. I., Kolbusz, J., & Wilamowski, B. M. (2012). Selection of proper neural network sizes and architecturesa comparative study. IEEE Transactions on Industrial Informatics, 8(2), 228–240.
Mohaghegi, S., del Valle, Y., Venayagamoorthy, G. K., & Harley, R. G. (2005). A comparison of PSO and backpropagation for training RBF neural networks for identification of a power system with STATCOM. In Proceedings 2005 IEEE of the Swarm Intelligence Symposium. SIS 2005 (pp. 381–384). IEEE.
Leonard, J. A., & Kramer, M. A. (1991). Radial basis function networks for classifying process faults. IEEE Control Systems, 11(3), 31–38.
Lee, M. J., & Choi, Y. K. (2004). An adaptive neurocontroller using RBFN for robot manipulators. IEEE Transactions on Industrial Electronics, 51(3), 711–717.
Chng, E. S., Chen, S., & Mulgrew, B. (1996). Gradient radial basis function networks for nonlinear and nonstationary time series prediction. IEEE transactions on neural networks, 7(1), 190–194.
Castao, A., Fernndez-Navarro, F., Hervs-Martnez, C., Garca, M. M., & Gutirrez, P. A. (2010). Classification by evolutionary generalised radial basis functions. International Journal of Hybrid Intelligent Systems, 7(4), 239–248.
Schwenker, F., Kestler, H. A., & Palm, G. (2001). Three learning phases for radial-basis-function networks. Neural Networks, 14(4–5), 439–458.
Wu, Y., Wang, H., Zhang, B., & Du, K. L. (2012). Using radial basis function networks for function approximation and classification. ISRN Applied Mathematics.
Mak, M. W., & Cho, K. W. (1998). Genetic evolution of radial basis function centers for pattern classification. In Proceedings of the IEEE International Joint Conference on Neural Networks, IEEE World Congress on Computational Intelligence (Vol. 1, pp. 669–673). IEEE.
Vakil-Baghmisheh, M. T., & Pave, N. (2004). Training RBF networks with selective backpropagation. Neurocomputing, 62, 39–64.
Aljarah, I., Faris, H., Mirjalili, S., & Al-Madi, N. (2018). Training radial basis function networks using biogeography-based optimizer. Neural Computing and Applications, 29(7), 529–553.
Yang, X. S., & Deb, S. (2009). Cuckoo search via Lvy flights. In World congress on nature & biologically inspired computing. NaBIC 2009 (pp. 210–214). IEEE.
Yang, X. S., & He, X. (2013). Firefly algorithm: Recent advances and applications. International Journal of Swarm Intelligence, 1(1), 36–50.
Yang, X. S. (2009). Firefly algorithms for multimodal optimization. In International Symposium on Stochastic Algorithms (pp. 169–178). Berlin: Springer.
Zhang, J., & Sanderson, A. C. (2009). JADE: Adaptive differential evolution with optional external archive. IEEE Transactions on Evolutionary Computation, 13(5), 945–958.
Mirjalili, S., Mirjalili, S. M., & Lewis, A. (2014). Let a biogeography-based optimizer train your multi-layer perceptron. Information Sciences, 269, 188–209.
Karaboga, D., & Basturk, B. (2007). A powerful and efficient algorithm for numerical function optimization: Artificial bee colony (ABC) algorithm. Journal of Global Optimization, 39(3), 459–471.
Yang, X. S. (2010). A new metaheuristic bat-inspired algorithm. In Nature inspired cooperative strategies for optimization (NICSO 2010) (pp. 65–74). Berlin: Springer.
Simon, D. (2008). Biogeography-based optimization. IEEE Transactions on Evolutionary Computation, 12(6), 702–713.
Qasem, S. N., Shamsuddin, S. M., & Zain, A. M. (2012). Multi-objective hybrid evolutionary algorithms for radial basis function neural network design. Knowledge-Based Systems, 27, 475–497.
Asuncion, A., & Newman, D. (2007). UCI machine learning repository.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Mirjalili, S. (2019). Evolutionary Radial Basis Function Networks. In: Evolutionary Algorithms and Neural Networks. Studies in Computational Intelligence, vol 780. Springer, Cham. https://doi.org/10.1007/978-3-319-93025-1_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-93025-1_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-93024-4
Online ISBN: 978-3-319-93025-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)