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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 24, Iss. 10 — May. 15, 1985
  • pp: 1469–1475

Optical implementation of the Hopfield model

Nabil H. Farhat, Demetri Psaltis, Aluizio Prata, and Eung Paek  »View Author Affiliations


Applied Optics, Vol. 24, Issue 10, pp. 1469-1475 (1985)
http://dx.doi.org/10.1364/AO.24.001469


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Abstract

Optical implementation of content addressable associative memory based on the Hopfield model for neural networks and on the addition of nonlinear iterative feedback to a vector–matrix multiplier is described. Numerical and experimental results presented show that the approach is capable of introducing accuracy and robustness to optical processing while maintaining the traditional advantages of optics, namely, parallelism and massive interconnection capability. Moreover a potentially useful link between neural processing and optics that can be of interest in pattern recognition and machine vision is established.

© 1985 Optical Society of America

History
Original Manuscript: December 24, 1984
Published: May 15, 1985

Citation
Nabil H. Farhat, Demetri Psaltis, Aluizio Prata, and Eung Paek, "Optical implementation of the Hopfield model," Appl. Opt. 24, 1469-1475 (1985)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-24-10-1469


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References

  1. J. J. Hopfield, “Neural Networks and Physical Systems with Emergent Collective Computational Abilities,” Proc. Natl. Acad. Sci. USA 79, 2554 (1982). [CrossRef] [PubMed]
  2. R. J. McEliece, E. C. Posner, S. Venkatesh, California Institute of Technology, Electrical Engineering Department; private communication.
  3. G. E. Hinton, J. A. Anderson, Parallel Models of Associative Memory (LEA Publishers, Hillsdale, N.J., 1981).
  4. T. Kohonen, Content Addressable Memories (Springer, New York, 1980). [CrossRef]
  5. D. Psaltis, N. Farhat, “A New Approach to Optical Information Processing Based On the Hopfield Model,” in Technical Digest, ICO-13 Conference, Sapporo (1984), p. 24.
  6. D. Psaltis, N. Farhat, “Optical Information Processing Based on an Associative-Memory Model of Neural Nets with Thresholding and Feedback,” Opt. Lett. 10, 98 (1985). [CrossRef] [PubMed]
  7. W. Ross, D. Psaltis, R. Anderson, “Two-Dimensional Magneto-Optic Spatial Light Modulator For Signal Processing,” Opt. Eng. 22, 485 (1983). [CrossRef]
  8. J. W. Goodman, A. R. Dias, L. M. Woody, “Fully Parallel, High-Speed Incoherent Optical Method for Performing Discrete Fourier Transforms,” Opt. Lett. 2, 1 (1978). [CrossRef] [PubMed]
  9. Z. Porada, “Thin Film Light Amplifier with Optical Feedback,” Thin Solid Films 109, 213 (1983). [CrossRef]
  10. H. M. Gibbs et al., “Optical Bistable Devices: The Basic Components of All-Optical Circuits,” Proc. Soc. Photo-Opt. Instrum. Eng. 269, 75 (1981).

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