Skip to main content

Identification of Hindmarsh-Rose Neuron Networks Using GEO Metaheuristic

  • Conference paper
Advances in Swarm Intelligence (ICSI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6728))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Belykh, I., Lange, E., Hasler, M.: Synchronization of Bursting Neurons: What Matters in the Network Topology. J. Phys. Rev. Lett. 94(18), 188101 (2005)

    Article  Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. Streib, F.E.: Influence of the Neural Network Topology on the Learning Dynamics. J. Neurocomputing 69(10-12), 1170–1182 (2006)

    Google Scholar 

  4. Izhikevich, E.M.: Which Model to Use for Cortical Spiking Neurons. J. IEEE Trans. on Neural Network 15(5), 1063–1070 (2004)

    Article  Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. Mao, Y., Tang, W., Liu, Y., Kocarev, L.: Identification of Biological Neurons Using Adaptive Observers. J. Cognitive Processing 10 (supplement 1), 41–53 (2009)

    Article  Google Scholar 

  7. 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)

    Google Scholar 

  8. 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)

    Article  Google Scholar 

  9. 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)

    Google Scholar 

  10. 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)

    Google Scholar 

  11. Flyvbjerg, H., Sneppen, K., Bak, P.: Mean Field Theory for a Simple Model of Evolution. J. Phys. Rev. Lett. 71(24), 4087–4090 (1993)

    Article  Google Scholar 

  12. Boettcher, S., Percus, A.G.: Nature’s Way of Optimizing. J. Artificial Intelligence 119(1-2), 275–286 (2000)

    Article  MATH  Google Scholar 

  13. 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)

    Chapter  Google Scholar 

  14. 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)

    Chapter  Google Scholar 

  15. 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)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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)

Publish with us

Policies and ethics