Skip to main content

Method for Estimating Neural Network Topology Based on SPIKE-Distance

  • Conference paper
  • First Online:
Book cover Artificial Neural Networks and Machine Learning – ICANN 2016 (ICANN 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9886))

Included in the following conference series:

  • 2698 Accesses

Abstract

To understand information processing in the brain, it is important to clarify the neural network topology. We have already proposed the method of estimating neural network topology only from observed multiple spike sequences by quantifying distance between spike sequences. To quantify distance between spike sequences, the spike time metric was used in the conventional method. However, the spike time metric involves a parameter. Then, we have to set an optimal parameter in the spike time metric. In this paper, we used the SPIKE-distance instead of the spike time metric and applied a partialization analysis to the SPIKE-distance. The SPIKE-distance is a parameter-free measure which can quantify the distance between spike sequences. Using the SPIKE-distance, we estimate the network topology. As a result, the proposed method exhibits higher performance than the conventional method.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Schelter, B., Winterhalder, M., Dahlhaus, R., Kurths, J., Timmer, J.: Partial phase synchronization for multivariate synchronizing systems. Phys. Rev. Lett. 96, 208103 (2006)

    Article  Google Scholar 

  2. Smirnov, D., Schelter, B., Winterhalder, M., Timmer, J.: Revealing direction of coupling between neuronal oscillators from time series: phase dynamics modeling versus partial directed coherence. Chaos 17, 013111 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Frenzel, S., Pompe, B.: Partial mutual information for coupling analysis of multivariate time series. Phys. Rev. Lett. 99, 204101 (2007)

    Article  Google Scholar 

  4. Eichler, M., Dahlhaus, R., Sandkuhler, J.: Partial correlation analysis for the identification of synaptic connections. Biol. Cybern. 89, 289–302 (2003)

    Article  MATH  Google Scholar 

  5. Kuroda, K., Hashiguchi, H., Fujiwara, K., Ikeguchi, T.: Reconstruction of network structures from marked point processes using multi-dimensional scaling. Phys. A 415, 194–204 (2014)

    Article  MathSciNet  Google Scholar 

  6. Kuroda, K., Ashizawa, T., Ikeguchi, T.: Estimation of network structures only from spike sequences. Phys. A 390, 4002–4011 (2011)

    Article  Google Scholar 

  7. Victor, J., Purpura, K.: Metric-space analysis of spike trains: theory. Algorithms Appl. Netw. 8, 127 (1997)

    MATH  Google Scholar 

  8. Kreuz, T., Chicharro, D., Houghton, C., Andrzejak, R.G., Mormann, F.: Monitoring spike train synchrony. J. Neurophysiol. 109, 1457–1472 (2013)

    Article  Google Scholar 

  9. Izhikevich, E.M.: Simple model of spiking neurons. IEEE Trans. Neural Networks 14, 1569–1572 (2003)

    Article  Google Scholar 

  10. Otsu, N.: A threshold selection method from gray level histograms. IEEE Trans. Syst. Man Cybern. 9, 62–66 (1979)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kaori Kuroda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Kuroda, K., Hasegawa, M. (2016). Method for Estimating Neural Network Topology Based on SPIKE-Distance. In: Villa, A., Masulli, P., Pons Rivero, A. (eds) Artificial Neural Networks and Machine Learning – ICANN 2016. ICANN 2016. Lecture Notes in Computer Science(), vol 9886. Springer, Cham. https://doi.org/10.1007/978-3-319-44778-0_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-44778-0_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44777-3

  • Online ISBN: 978-3-319-44778-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics