Skip to main content
SpringerLink
Log in

The properties of models of simple neural networks

  • III. Neural Networks
  • Conference paper
  • First Online:
Book cover Heidelberg Colloquium on Glassy Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 275))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.J. Hopfield, Proc. Nat. Acad. Sci. USA 79 2554 (1982), 81 3088 (1984) and J.J. Hopfield, D.I. Feinstein and R. G. Palmer. Nature 304, 158 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  2. W.A. Little, Math. Biosci. 19 101 (1974) and W.A. Little and G.L. Shaw, Math. Biosci. 39, 281(1978).

    Article  MATH  Google Scholar 

  3. W.S. McCulloch and W.A. Pitts, Bull. Math. Biophys., 5, 115 (1943).

    Article  MATH  MathSciNet  Google Scholar 

  4. D.J. Amit, H. Gutfreund and H. Sompolinsky, Phys. Rev. A32, 1007 (1985).

    MathSciNet  ADS  Google Scholar 

  5. D.J. Amit, H. Gutfreund and H. Sompolinsky, Phys. Rev. Lett. 55, 1530 (1985), and Annals of Physics (NY) in press

    Article  ADS  Google Scholar 

  6. D.J. Amit, H. Gutfreund and H. Sompolinsky, “Information Storage in Neural Networks with Low Levels of Activity”, Preprint RIP/23/86

    Google Scholar 

  7. M. Abelles, Local Cortical Circuits, in “Studies of Brain Function”, (New York, Springer-Verlag, 1982).

    Google Scholar 

  8. J.J. Hopfield, in C. Nicollini ed., Modelling and Analysis in Biomedicine (World Scientific, Singapore, 1984).

    Google Scholar 

  9. D.O. Hebb, The Organization of Behavior (Wiley, NY, 1949).

    Google Scholar 

  10. A. Arieli, PhD Thesis, Hebrew University Medical School, unpublished.

    Google Scholar 

  11. J.W. Clark. J. Rafelski and J.V. Winston, Phys. Reports, 123, 215 (1985)

    Article  ADS  Google Scholar 

  12. J. von Neumann, The Computer and the Brain, (Yale University Press. 1958), part 2.

    Google Scholar 

  13. P. Peretto, Biol. Cybern., 50, 51 (1984)

    Article  MATH  Google Scholar 

  14. R. J. Glauber, J. Math. Phys., 4, 294 (1963); K. Binder, in Fundamental Problems in Statistical Mechanics V, E.G.D. Cohen ed., (North Holland, Amsterdam, 1980)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. G. Toulouse, in ref. 16.

    Google Scholar 

  16. See e.g. Heidelberg Colloquium on Spin Glasses, J.L. Van Hemmen and I. Morgenstern eds. (Springer, NY, 1983)

    Google Scholar 

  17. S.F. Edwards and P.W. Anderson, J. Phys. F5, 965 (1975)

    Article  ADS  Google Scholar 

  18. L. Personnaz, I. Guyon and G. Dreyfus, J. Physique Lett. 46 L359 (1985), “Designing a Neural Network Satisfying a Given Set of Constraints” and L. Personnaz, I. Guyon, A. Johannet, G. Dreyfus and G. Toulouse (EPSCI, Paris preprint 1986).

    Article  Google Scholar 

  19. I. Kanter and H.Sompolinsky, “Associative Recall of Memory Without Errors”, Bar-Ilan University preprint, 1986.

    Google Scholar 

  20. J.L. Van Hemmen, Phys. Lett. 64A, 177 (1977); J. Phys. A15, 3881(1982) and J.P. Provost and G. Vallee, Phys. Rev. Lett. 50, 598(1983)

    ADS  Google Scholar 

  21. D.C. Mattis, Phys. Lett. 56A, 421 (1976)

    ADS  Google Scholar 

  22. N. Parga amd M. Virasoro, private communication

    Google Scholar 

  23. D.J. Amit H. Gutfreund and H. Sompolinsky, unpublished.

    Google Scholar 

  24. G. Weisbuch and F. Fogelman-Soulie', J. Physique Lett. 46, L623 (1985)

    Article  Google Scholar 

  25. R.J. McEliece, E.C. Posner, E.R. Rodemich and S.S. Venkatesh, “The Capacity of the Hopfield Associative Memory” (Caltech preprint, 1986).

    Google Scholar 

  26. S. Kirkpatrick and D.J. Sherrington, Phys. Rev. B17, 4384 (1978).

    ADS  Google Scholar 

  27. A. Crisanti, D.J. Amit and H. Gutfreund, Europhys. Lett. 2, 337 (1986)

    Article  ADS  Google Scholar 

  28. W. Kinzel, Z. Phys. B60, 205 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  29. E. Gardner, “Structure of Metastable States in the Hopfield Model”, Edinburgh Preprint, 86/367, 1986; H. Gutfreund and H. Sompolinsky, unpublished.

    Google Scholar 

  30. J. Hertz, G. Grinstein and S. Solla, “Memory Networks with Asymmetric Bonds”, Nordita preprint (1986)

    Google Scholar 

  31. G. Parisi, J. Phys. A19 L675 (1986)

    MathSciNet  ADS  Google Scholar 

  32. J.P. Nadal, G. Toulouse, J.P. Changeux and S. Dehaene, “Networks of Formal Neurons and Memory Palimpsests” Europhys. Lett. 1(10), 535 (1986) and G. Parisi, J. Phys. 19, L617(1986).

    Article  ADS  Google Scholar 

  33. T.J. Sejnowski, P.K. Kienker and G.E. Hinton, “Learning Symmetry Groups with Hidden Units: Beyond the Perceptron”, Physica D, in press.

    Google Scholar 

  34. H. Sompolinsky, Phys. Rev. A34, 2571 (1986).

    ADS  Google Scholar 

  35. H. Gutfreund and Y. Stein, to be published.

    Google Scholar 

  36. G. Toulouse, S. Dehaene and J.P. Changeux, Proc. Nat. Acad. Sci. (USA), 83, 1695 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  37. M. Virasoro, “Ultrametricity, Hopfield Model and All That”, in “Disordered Systems and Biological Organization”, E Bienenstock ed. (les Houches, 1985); N. Parga and M. Virasoro, “The Ultrametric Organization of Memories in a Neural Network” (Trieste preprint 1985).

    Google Scholar 

  38. Vik. S. Dotsenko, J. Phys. C18 L1017 (1985).

    MathSciNet  ADS  Google Scholar 

  39. D. J. Amit, in Physics in Environmental and Biomedical Research, S. Onori and E. Tabet eds (World Scientific, Singapore, 1986)

    Google Scholar 

  40. M. Mezard, J.P. Nadal and G. Toulouse, J. de Physique, 47, 1457 (1986).

    Article  MathSciNet  Google Scholar 

  41. W.R. Uttal, The Psychobiology of Mind (Halstead Press, NY, (1978).

    Google Scholar 

  42. A.R. Luria, The Working Brain (Penguin Books, London, 1973), p. 56.

    Google Scholar 

  43. S. Grossberg, Studies of Mind and Brain (D. Riedel, Dordrecht, 1982), and D. Hestenes, “How the Brain Works: the next great scientific revolution”, Arizona State University preprint, 1983.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Racah Institute of Physics, Hebrew University, Jerusalem, Israel

    Daniel J. Amit

Authors
  1. Daniel J. Amit
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. L. van Hemmen I. Morgenstern

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Amit, D.J. (1987). The properties of models of simple neural networks. In: van Hemmen, J.L., Morgenstern, I. (eds) Heidelberg Colloquium on Glassy Dynamics. Lecture Notes in Physics, vol 275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0057530

Download citation

  • DOI: https://doi.org/10.1007/BFb0057530

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17777-7

  • Online ISBN: 978-3-540-47819-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation