Abstract
Extreme learning machine (ELM) is a non-iterative algorithm for training single-hidden layer feedforward neural network (SLFN). ELM has been shown to have good generalization performance and faster learning speed than conventional gradient-based learning algorithms. However, due to the random determination of the hidden neuron parameters (i.e., input weights and biases) ELM may require a large number of neurons in the hidden layer. In this paper, the original harmony search (HS) and its variants, namely, improved harmony search (IHS), global-best harmony search (GHS), and intelligent tuned harmony search (ITHS) are used to optimize the input weights and hidden biases of ELM. The output weights are analytically determined using the Moore–Penrose (MP) generalized inverse. The performance of the hybrid approaches is tested on several benchmark classification problems. The simulation results show that the integration of HS algorithms with ELM has obtained compact network architectures with good generalization performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
References
G.-B. Huang, Q.-Y. Zhu, C.-K. Siew, Extreme learning machine: a new learning scheme of feedforward neural networks, in IEEE IJCNN, Budapest, Hungary (2004), pp. 985–990
Q.Y. Zhu, A.K. Qin, P.N. Suganthan, G.-B. Huang, Evolutionary extreme learning machine. Pattern Recogn. 38, 1759–1763 (2005)
J. Cao, Z. Lin, G.-B. Huang, Self-adaptive evolutionary extreme learning machine. Neural Process. 36, 285–305 (2012)
W.K. Wong, Z.X. Guo, A hybrid intelligent model for medium-term sales forecasting in fashion retail supply chains using extreme learning machine and harmony search algorithm. Int. J. Prod. Econ. 128, 614–624 (2010)
R. Dash, P.K. Dash, R. Bisoi, A self adaptive differential harmony search based optimized extreme learning machine for financial time series prediction. Swarm Evol. Comput. 19, 25–42 (2014)
A.K. Alshamiri, A. Singh, B.R. Surampudi, Two swarm intelligence approaches for tuning extreme learning machine. Int. J. of Mach. Learn. Cyb. 9, 1271–1283 (2018)
G.-B. Huang, Q.-Y. Zhu, C.-K. Siew, Extreme learning machine: theory and applications. Neurocomputing 70, 489–501 (2006)
G.-B. Huang, L. Chen, C.-K. Siew, Universal approximation using incremental constructive feedforward networks with random hidden nodes. IEEE T. Neural Networ. 17(4), 879–892 (2006)
Y. Lan, Y. Soh, G.-B. Huang, Constructive hidden nodes selection of extreme learning machine for regression. Neurocomputing 73, 3191–3199 (2010)
Z.W. Geem, J.H. Kim, G.V. Loganathan, A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)
M. Mahdavi, M. Fesanghary, E. Damangir, An improved harmony search algorithm for solving optimization problems. Appl. Math. Comput. 188(2), 1567–1579 (2007)
M.G.H. Omran, M. Mahdavi, Global-best harmony search. Appl. Math. Comput. 198(2), 643–656 (2008)
P. Yadav, R. Kumar, S.K. Panda, C.S. Chang, An intelligent tuned harmony search algorithm for optimization. Inf. Sci. 196, 47–72 (2012)
Q.-K. Pan, P.N. Suganthan, M.F. Tasgetiren, J.J. Liang, A self-adaptive global best harmony search algorithm for continuous optimization problems. Appl. Math. Comput. 216(3), 830–848 (2010)
Acknowledgements
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (No. 2019R1A2B5B03069810).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Al-Shamiri, A.K., Sadollah, A., Kim, J.H. (2021). Harmony Search Algorithms for Optimizing Extreme Learning Machines. In: Nigdeli, S.M., Kim, J.H., BekdaĹź, G., Yadav, A. (eds) Proceedings of 6th International Conference on Harmony Search, Soft Computing and Applications. ICHSA 2020. Advances in Intelligent Systems and Computing, vol 1275. Springer, Singapore. https://doi.org/10.1007/978-981-15-8603-3_2
Download citation
DOI: https://doi.org/10.1007/978-981-15-8603-3_2
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-8602-6
Online ISBN: 978-981-15-8603-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)