Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

Learning Temporally Encoded Patterns in Networks of Spiking Neurons

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

Networks of spiking neurons are very powerful and versatile models for biological and artificial information processing systems. Especially for modelling pattern analysis tasks in a biologically plausible way that require short response times with high precision they seem to be more appropriate than networks of threshold gates or models that encode analog values in average firing rates. We investigate the question how neurons can learn on the basis of time differences between firing times. In particular, we provide learning rules of the Hebbian type in terms of single spiking events of the pre- and postsynaptic neuron and show that the weights approach some value given by the difference between pre- and postsynaptic firing times with arbitrary high precision.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. M. Abeles, H. Bergman, E. Margalit and E. Vaadia,“Spatiotemporal firing patterns in the frontal cortex of behaving monkeys”, J. of Neurophysiology, Vol. 70, pp. 1629–1638, 1993.

    Google Scholar 

  2. E.K. Blum, “Numerical Analysis and Computation:Theory and Practice”, Addison-Wesley: Reading, MA, 1972.

    Google Scholar 

  3. T.H. Brown and S. Chattarji, “Hebbian synapticplasticity”, in M. Arbib (ed) Handbook of Brain Theory and Neural Networks, pp. 454–459, MIT Press: Cambridge, MA, 1995.

    Google Scholar 

  4. W. Gerstner and L.H. van Hemmen, “How to describe neuronal activity: spikes, rates, or assemblies?”, in Advances in Neural Information Processing Systems 6, pp. 463–470, Morgan Kaufmann: San Mateo, 1994.

    Google Scholar 

  5. W. Maass, “Fast sigmoidal networks via spikingneurons”, Neural Computation, Vol. 9, pp. 279–304, 1997.

    Google Scholar 

  6. W. Maass, “Lower bounds for the computational power of networksof spiking neurons”, Neural Computation, Vol. 8, pp. 1–40, 1996.

    Google Scholar 

  7. W. Maass, “Networks of spiking neurons: the thirdgeneration of neural network models”, Proc. of the 7th Australian Conference on Neural Networks, Canberra, Australia, 1996.

  8. H. Markram, J. Lübke, M. Frotscher and B. Sakmann, “Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs”, Science, Vol. 275, pp. 213–215, 1997.

    Google Scholar 

  9. B. Ruf, “Pattern analysis with networks of spiking neurons” (submitted).

  10. T.J. Sejnowski, “Time for a new neuralcode?”, Nature, Vol. 376, pp. 21–22, 1995.

    Google Scholar 

  11. G.J. Stuart and B. Sakmann, “Active propagation of somatic action potentials into neocortical pyramidal cell dendrites”, Nature, Vol. 367, pp. 69–72, 1994.

    Google Scholar 

  12. S.J. Thorpe and M. Imbert, “Biologicalconstraints on connectionist modelling”, in R. Pfeifer, Z. Schreter, F. Fogelman-Soulié and L. Steels (eds), Connectionism in Perspective, pp. 63–92, Elsevier: Amsterdam, 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruf, B., Schmitt, M. Learning Temporally Encoded Patterns in Networks of Spiking Neurons. Neural Processing Letters 5, 9–18 (1997). https://doi.org/10.1023/A:1009697008681

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1009697008681

Navigation