Abstract
In the last few years bio-inspired neural networks have interested an increasing number of researchers. In this paper, a novel approach is proposed to solve the problem of identifying the topology and parameters in Hindmarsh-Rose-neuron networks. The approach introduces generalized extremal optimization (GEO), a relatively new heuristic algorithm derived from co-evolution to solve the identification problem. Simulation results show that the proposed approach compares favorably with other heuristic algorithms based methods in existing literatures with smaller estimation errors. And it presents satisfying results even with noisy data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Belykh, I., Lange, E., Hasler, M.: Synchronization of Bursting Neurons: What Matters in the Network Topology. J. Phys. Rev. Lett. 94(18), 188101 (2005)
Checco, P., Righero, M., Biey, M., Kocarev, L.: Synchronization in Networks of Hindmarsh-Rose Neurons. J. IEEE Trans. on Circuits and Systems-II: Express Briefs 55(12), 1274–1278 (2008)
Streib, F.E.: Influence of the Neural Network Topology on the Learning Dynamics. J. Neurocomputing 69(10-12), 1170–1182 (2006)
Izhikevich, E.M.: Which Model to Use for Cortical Spiking Neurons. J. IEEE Trans. on Neural Network 15(5), 1063–1070 (2004)
Hindmarsh, J.L., Rose, R.M.: A Model of Neuronal Bursting Using Three Coupled First Order Differential Equations. J. Proc. R. Soc. Lond. B 221, 87–102 (1984)
Mao, Y., Tang, W., Liu, Y., Kocarev, L.: Identification of Biological Neurons Using Adaptive Observers. J. Cognitive Processing 10 (supplement 1), 41–53 (2009)
Yin, J.J., Tang, W., Man, K.F.: Identification of Biological Neural Network Using Jumping Gene Genetic Algorithm. In: 33rd Annual Conference of the IEEE Industrial Electronics Society (IECON), pp. 693–697. IEEE Press, Taipei (2007)
Yin, J.J., Tang, W., Man, K.F.: A Comparison of Optimization Algorithms for Biological Neural Network Identification. J. IEEE Trans. on Industrial Electronics 57(3), 1127–1131 (2010)
de Sousa, F.L., Ramos, F.M., Galski, R.L., Muraoka, I.: Generalized External Optimization: A New Meta-Heuristic Inspired by a Model of Natural Evolution. J. Recent Developments in Biologically Inspired Computing 13(10), 41–60 (2004)
Boettcher, S., Percus, A.G.: Extremal Optimization: Methods derived from Co-Evolution. In: GECCO-1999: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 825–832. Morgan Kaufmann, San Francisco (1999)
Flyvbjerg, H., Sneppen, K., Bak, P.: Mean Field Theory for a Simple Model of Evolution. J. Phys. Rev. Lett. 71(24), 4087–4090 (1993)
Boettcher, S., Percus, A.G.: Nature’s Way of Optimizing. J. Artificial Intelligence 119(1-2), 275–286 (2000)
Lu, Y.Z., Chen, M.R., Chen, Y.W.: Studies on Extremal Optimization and Its Applications in Solving Real World Optimization Problems. In: Proceedings of the 2007 IEEE Symposium on Foundations of Computational Intelligence (FOCI 2007), pp. 162–168. IEEE Press, Honolulu (2007)
de Sousa, F.L., Vlassov, V., Ramos, F.M.: Generalized Extremal Optimization for solving complex optimal design problems. In: Cantú-Paz, E., Foster, J.A., Deb, K., Davis, L., Roy, R., O’Reilly, U.-M., Beyer, H.-G., Kendall, G., Wilson, S.W., Harman, M., Wegener, J., Dasgupta, D., Potter, M.A., Schultz, A., Dowsland, K.A., Jonoska, N., Miller, J., Standish, R.K. (eds.) GECCO 2003. LNCS, vol. 2723, pp. 375–376. Springer, Heidelberg (2003)
Randall, M., Lewis, A.: Intensification Strategies for Extremal Optimisation. In: Deb, K., Bhattacharya, A., Chakraborti, N., Chakroborty, P., Das, S., Dutta, J., Gupta, S.K., Jain, A., Aggarwal, V., Branke, J., Louis, S.J., Tan, K.C. (eds.) SEAL 2010. LNCS, vol. 6457, pp. 115–124. Springer, Heidelberg (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, L., Yang, G., Yeung, L.F. (2011). Identification of Hindmarsh-Rose Neuron Networks Using GEO Metaheuristic. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds) Advances in Swarm Intelligence. ICSI 2011. Lecture Notes in Computer Science, vol 6728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21515-5_54
Download citation
DOI: https://doi.org/10.1007/978-3-642-21515-5_54
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21514-8
Online ISBN: 978-3-642-21515-5
eBook Packages: Computer ScienceComputer Science (R0)