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Published March 6, 1987 | public
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Computing with Neural Networks: Response

Hopfield, John J.
Tank, David W. ORCID icon
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Abstract

Response: The intellectual thrust of our article (1) was to show the neurobiologist how a conceptual framework and methodology could be used to understand how a class of model neural circuits solve specific computational problems. In addition, we used examples of model circuit computation to illustrate the general problems neurobiologists face in understanding computation in biological neural circuits.

Additional Information

© 1987 American Association for the Advancement of Science. 25 November 1986; accepted 5 December 1986. 1. J. J. Hopfield and D. W. Tank, Science 233, 625 (1986). 2. J. J. Hopfield,Proc. Natl.Acad. Sci. U.S.A. 79, 2554 (1982). 3. __ ,ibid. 81, 3088 (1984). 4. J. J. Hopfield and D. W. Tank, Biol. Cybern. 52, 141 (1985). 5. D. Marr, Vision (Freeman, San Francisco, 1982). 6. No comprehensive review of all of this work exists. For an introduction to the literature, see J. A. Feldman and D. H. Ballard, Cog. Sci. 36, 205 (1982); W. P. Keirstead and B. A. Huberman, Phys. Rev. Lett. 56, 1094 (1986); T. Poggio, V. Torre, C. Koch, Nature (London) 317, 314 (1985); A. Barto, R. S. Sutton, C. W. Anderson, IEEE Trans. Syst. Man Cybern. SMC-13, No. 5 (1983); G. E. Hinton, T. J. Sejnowski, D. H. Ackley, Technical Report CMU-CS-84-119 (Carnegie Mellon University, Pittsburgh, PA, 1984); S. Geman and D. Geman, IEEE Trans. Pattern-Anal. Mach. Intell. 6, 721 (1984) . 7. T. J. Sejnowski and C. R. Rosenberg.Johns Hopkins University Electrical Engineering and Computer Science Technical Report JHUIEECS-86/01 (Johns Hopkins Univ., Baltimore, MD, 1986). 8. D. E. Rumelhart, G. E. Hinton, R. J. Williams, in Parallel, Distributed Processing: Explorations in the Microstructure of Cognition, D. E. Rumelhart and J. L. McClelland, Eds. (MIT Press, Cambridge, MA, in press). 9. C. Koch, J. Marroquin, A. Yuille, Proc. Natl. Acad. Sci. U.S.A. 83, 4263 (1986). 10. J. P. Nadal, G. Toulouse, J. P. Changeux, S. Dehaene, Europhys. Lett. 1, 535 (1986); M. Mezard, J. P. Nadal, G. Toulouse,]. Phys. 47, 1457 (1986). 11. T. Poggio and W. E. Reichardt, in Theoretical Approiihes in Neurobiology, W. E. Reichardt and T. Poggio, Eds. (MIT Press, Cambridge, MA, 1981), p. 65.

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