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Some Physiological and Biochemical Consequences of Psychological Postulates

  • Stephen Grossberg
Chapter
  • 227 Downloads
Part of the Boston Studies in the Philosophy of Science book series (BSPS, volume 70)

Abstract

This note is a flashback to the time when the theory’s foundation was being laid. The foundation is a synthesis of psychological, mathematical, and philosophical ideas in a series of papers that appeared between 1967 and 1969 (Papers [1] – [18] in the List of Publications at the end of this book.) The note is the tip of this theoretical iceberg.

Keywords

Lateral Inhibition Stimulus Sampling Pattern Learning Presynaptic Spike Behavioral Unit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Grossberg, S., “Embedding fields: A new theory of learning with physiological implications,” J. Math. Psych., in press.Google Scholar
  2. 2.
    Grossberg, S., “On learning, information, lateral inhibition, and transmitters,” Math. Biosci., in press.Google Scholar
  3. 3.
    Grossberg, S., “On the production and release of chemical transmitters and related topics in cellular control.”Google Scholar
  4. 4.
    Grossberg, S., “Nonlinear difference-differential equations in prediction and learning theory,” these Proceedings, 58 (4), 1329–1334 (1967).Google Scholar
  5. 5.
    Grossberg, S., “Some nonlinear networks capable of learning a spatial pattern of arbitrary complexity,” these Proceedings, 59 (2), 368–372 (1968).Google Scholar
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    Grossberg, S., “Global ratio limit theorems for some nonlinear functional-differential equations, I, II,” Bull. Am. Math. Soc., 74 (1), 95–105 (1968).CrossRefGoogle Scholar
  7. 7.
    Grossberg, S., “A prediction theory for some nonlinear functional-differential equations, I. Learning of lists,” J. Math. Anal. Applic., in press.Google Scholar
  8. 8.
    Grossberg, S., “A prediction theory for some nonlinear functional-differential equations, II. Learning of spatial patterns,” J. Math. Anal. Applic., in press.Google Scholar
  9. 9.
    Grossberg, S., “On the global limits and oscillations of a system of nonlinear differential equations describing a flow on a probabilistic network,” J. Diff. Eq., in press.Google Scholar
  10. 10.
    Grossberg, S., “On the variational systems of some nonlinear difference-differential equations,” J. Diff. Eq., manuscript submitted for publication.Google Scholar
  11. 11.
    Ratliff, F., Mach Bands: Quantitative Studies on Neural Networks in the Retina ( New York: Holden-Day, 1965 ).Google Scholar
  12. 12.
    Osgood, C. E., Method and Theory in Experimental Psychology (New York: Oxford, 1953), chap. 12.Google Scholar
  13. 13.
    Grossberg, S., “On the serial learning of lists,” Math. Biosci., in press.Google Scholar
  14. 14.
    Fruton, J. S., and S. Simmonds, General Biochemistry ( New York: John Wiley, 1958 ).Google Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1982

Authors and Affiliations

  • Stephen Grossberg
    • 1
  1. 1.Department of MathematicsBoston UniversityUSA

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