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Optics Letters

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  • Vol. 18, Iss. 24 — Dec. 15, 1993
  • pp: 2135–2137

Conditional convergence of photorefractive perceptron learning

Ken Y. Hsu, Shiuan Huei Lin, and Pochi Yeh  »View Author Affiliations


Optics Letters, Vol. 18, Issue 24, pp. 2135-2137 (1993)
http://dx.doi.org/10.1364/OL.18.002135


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Abstract

We consider the convergence characteristics of a perceptron learning algorithm, taking into account the decay of photorefractive holograms during the process of interconnection weight changes. As a result of the hologram erasure, the convergence of the learning process is dependent on the exposure time during the weight changes. A mathematical proof of the conditional convergence, as well as computer simulations of the photorefractive perceptrons, is presented and discussed.

© 1993 Optical Society of America

History
Original Manuscript: August 6, 1993
Published: December 15, 1993

Citation
Ken Y. Hsu, Shiuan Huei Lin, and Pochi Yeh, "Conditional convergence of photorefractive perceptron learning," Opt. Lett. 18, 2135-2137 (1993)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-18-24-2135


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References

  1. R. O. Duda, P. E. Hart, Pattern Classification and Scene Analysis (Wiley, New York, 1973), Chap. 5, p. 142.
  2. D. Psaltis, D. Brady, K. Wagner, Appl. Opt. 27, 1752 (1988). [CrossRef]
  3. J. Hong, S. Campbell, P. Yeh, Appl. Opt. 29, 3019 (1990). [CrossRef] [PubMed]
  4. K. Y. Hsu, S. H. Lin, C. J. Cheng, T. C. Hsieh, P. Yeh, Int. J. Opt. Comput. (to be published).
  5. E. G. Paek, J. R. Wullert, J. S. Patel, Opt. Lett. 14, 1303 (1989). [CrossRef] [PubMed]
  6. See, for example,P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993), App. A, pp. 392–393.

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