A neural network is a large, highly interconnected assembly of simple elements. The elements, called neurons, are usually two‐state devices that switch from one state to the other when their input exceeds a specific threshold value. In this respect the elements resemble biological neurons, which fire—that is, send a voltage pulse down their axons—when the sum of the inputs from their synapses exceeds a “firing” threshold. Neural networks therefore serve as models for studies of cooperative behavior and computational properties of the sort exhibited by the nervous system.
REFERENCES
1.
2.
D. O. Hebb, The Organization of Behavior, Wiley, New York (1949).
3.
F. Rosenblatt, Principles of Neurodynamics, Spartan, Washington, D.C. (1961).
M. Minsky, S. Papert, Perceptrons, MIT P., Cambridge, Mass. (1988).
4.
B. Widrow, in Self‐Organizing Systems, M. C. Yovits, G. T. Jacobi, G. D. Goldstein, eds., Spartan, Washington, D.C. (1962).
5.
S.
Amari
, K.
Maginu
, Neural Networks
1
, 63
(1988
), and references therein.6.
7.
T. Kohonen, Self Organization and Associative Memory, Springer‐Verlag, Berlin (1984).
8.
9.
J. J.
Hopfield
, D. W.
Tank
, Science
233
, 625
(1986
), and references therein.10.
M. Mezard, G. Parisi, M. A. Virasoro, Spin Glass Theory and Beyond, World Scientific, Singapore (1987).
11.
V. Braitenberg, in Brain Theory, G. Palm, A. Aertsen, eds., Springer‐Verlag, Berlin (1986), p. 81.
12.
K. Binder, ed., Applications of the Monte Carlo Methods in Statistical Physics, Springer‐Verlag, Berlin (1984).
13.
D. E. Rumelhart, J. L. McClell and the PDP Group, Parallel Distributed Processing, MIT P., Cambridge, Mass. (1986).
14.
D. Kleinfeld, H. Sompolinsky, Biophys. Jour., in press, and references therein.
15.
S. R.
Kelso
, A. H.
Ganong
, T. H.
Brown
, Proc. Natl. Acad. Sci. USA
83
, 5326
(1986
).16.
D. J.
Amit
, H.
Gutfreund
, H.
Sompolinsky
, Phys. Rev. A
32
, 1007
(1985
).D. J.
Amit
, H.
Gutfreund
, H.
Sompolinsky
, Ann. Phys. N. Y.
173
, 30
(1987
), and references therein.17.
M. Abeles, Local Cortical Circuits, Springer‐Verlag Berlin (1982).
18.
D. J.
Willshaw
, O. P.
Buneman
, H. C.
Longuet‐Higgins
, Nature
222
, 960
(1969
).19.
A. D. Bruce, A. Canning, B. Forrest, E. Gardner, D. J. Wallace, in Neural Networks for Computing, J. S. Denker, ed., AIP, New York (1986) p. 65.
20.
21.
S.
Kirkpatrick
, C. D.
Gellat
Jr., M. P.
Vecchi
, Science
220
, 671
(1983
).
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© 1988 American Institute of Physics.
1988
American Institute of Physics