Skip to main content
Log in

Application of information networks to a theory of vision

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

Some principles of information theory are utilized in the design of neural nets of the McCulloch-Pitts type. In particular, problems are considered where signals from several neurons must pass through a single one, thus resulting in a “bottleneck” in the flow of information, an abstract model of the corresponding bottleneck from the retina to the optic nerve. The first part of the paper deals with a construction of a McCulloch-Pitts net in which the redundancy in the messages originating in two neurons is utilized so that the messages can be sent over a single neuron with little loss of information. In the second part, messages from a set of neurons are “pumped” into two channel neurons. The optimum connection scheme is computed for this case, i.e, one resulting in a minimum loss of information. Possible biological implications of this approach are indicated.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Culbertson, J. T. 1948. “A Mechanism for Optic Nerve Conduction and Form Perception.”Bull. Math. Biophysics,10, 31–40.

    Article  Google Scholar 

  • Fulton, J. F. 1949.Physiology of the Nervous System. New York: Oxford University Press.

    Google Scholar 

  • Landahl, H. D. 1939. “Contributions to the Mathematical Biophysics of the Central Nervous System.”Bull. Math. Biophysics,1, 95–118.

    Article  Google Scholar 

  • MacKay, D. M. and W. S. McCulloch. 1952. “The Limiting Information Capacity of a Neuronal Link.”Bull. Math. Biophysics,14, 127–35.

    Article  Google Scholar 

  • Maximow, A. A. and W. Bloom. 1938.A Textbook of Histology. Philadelphia and London: W. B. Saunders Company.

    Google Scholar 

  • McCulloch, W. S. and W. Pitts. 1943. “A Logical Calculus of the Ideas Immanent in Nervous Activity.”Bull. Math. Biophysics,5, 115–33.

    Article  MATH  MathSciNet  Google Scholar 

  • Polyak, S. L. 1941.The Retina. Chicago: University of Chicago Press.

    Google Scholar 

  • Rushton, W. A. H. 1950. “The Problem of the Information Which the Brain Receives from the Eye.”Symposium on Information Theory. London: Ministry of Supply.

    Google Scholar 

  • Shannon, C. E. and W. Weaver. 1949.The Mathematical Theory of Communication. Urbana: University of Illinois Press.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rapoport, A. Application of information networks to a theory of vision. Bulletin of Mathematical Biophysics 17, 15–33 (1955). https://doi.org/10.1007/BF02481834

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02481834

Keywords

Navigation