Skip to main content

Measuring the Information Expressed by Neural Discharge Patterns

  • Chapter

Abstract

Various measures have been used to assess how well single neurons represent information. Modeling discharge patterns as stochastic point processes, we determine how well certain measure accomplish this task. We show that the information theoretic measure—capacity—can do a poor job. The mean-squared error measure more accurately describes the fidelity to which sensory signals can be extracted. Calculation of fundamental bounds on mean-squared error show that time-varying signals must have bandwidths orders of magnitude less than the average discharge rate (under a Poisson model) if accurate signal representations are to result. This result indicates that neural ensembles must be considered to understand information encoding by neurons.

Supported by grants from the National Science Foundation and from the National Institute of Mental Health

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   329.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W. Bialek, F. Rieke, R. R. de Ruyter van Steveninck, and D. Warland. Reading a neural code. Science, 252: 1852–1856, 1991.

    Article  Google Scholar 

  2. P. Brémaud. Point Processes and Queues. Springer-Verlag, New York, 1981.

    Book  Google Scholar 

  3. M. H. A. Davis. Capacity and cutoff rate for Poisson-type channels. IEEE Trans. Info. Th., IT-26: 710–715, 1980.

    Google Scholar 

  4. D. H. Johnson and A. Swami. The transmission of signals by auditory-nerve fiber discharge patterns. J. Acoust. Soc. Am., 74: 493–501, 1983.

    Article  PubMed  CAS  Google Scholar 

  5. Y. M. Kabanov. The capacity of a channel of the Poisson type. Theory Prob. und Applications, 23: 143–147, 1978.

    Article  Google Scholar 

  6. K. E. Mark and M. I. Miller. Bayesian model selection and minimum description length estimation of auditory-nerve discharge rates. J. Acoust. Soc. Am., 91: 989–1002, 1992.

    Article  PubMed  CAS  Google Scholar 

  7. M. I. Miller. Algorithms for removing recovery-related distortion from auditory-nerve discharge patterns. J. Acoust. Soc. Am., 77:1452–1464, 1985. Also see Erratum. J Acoust. Soc. Am., 79. 570, 1986.

    Google Scholar 

  8. F. Rieke, D. Warland, and W. Bialek. Coding efficiency and information rates in sensory neurons. Europhvstcs Letters, 22: 151–156, 1993.

    Article  Google Scholar 

  9. S. Shamai (Shitz) and A. Lapidoth. Bounds on the capacity of a spectrally constrained Poisson channel. IEEE Trans. Info. Th., 39: 19–29, 1993.

    Article  Google Scholar 

  10. D. L. Snyder. Random Point Processes. John Wiley and Sons, Inc., New York, 1975.

    Google Scholar 

  11. D. L. Snyder and I. B. Rhodes. Some implications for the cutoff-rate criterion for coded direct-detection optical communication systems. IEEE Trans. Info. Th., IT-26: 327–338, 1980.

    Google Scholar 

  12. R. B. Stein. The information capacity of nerve cells using a frequency code. Biophysical J., 7: 67–82, 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this chapter

Cite this chapter

Johnson, D.H. (1997). Measuring the Information Expressed by Neural Discharge Patterns. In: Bower, J.M. (eds) Computational Neuroscience. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9800-5_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9800-5_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9802-9

  • Online ISBN: 978-1-4757-9800-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics