64-channel correlator implementing a Kohonen-like neural network for handwritten-digit recognition

Applied Optics

Volumn 35, Issue 23, 1996, Pages 4655-4665

  Barge, M ^a   Heggarty, K ^a,b   Idan, Y ^a,c   Chevallier, M ^a,b  

^a TELECOM PARISTECH   (France)

^b ECOLE DES MINES DE NANTES   (France)

^c PSL RESEARCH UNIVERSITY   (France)

Author keywords

Kohonen feature maps; Multichannel correlator; Optical neural network

Indexed keywords

EID: 0038653022     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.004655     Document Type: Article

References (21)

1. E. G. Paek and D. Psaltis, “Optical associative memory using Fourier transform holograms,” Opt. Eng. 26, 428-433 (1987).
2. P. Lalanne, P. Chavel, and J. Taboury, “Optical inner-product implementation of a neural network model,” Appl. Opt. 28, 377-385 (1989).
3. K. Wagner and T. M. Slagle, “Optical competitive learning with VLSI/liquid crystal winner-take-all modulator,” Appl. Opt. 32, 1408-1435 (1993).
4. J. Duvillier, M. Killinger, K. Heggarty, K. Yao, and J. L. De Bougrenet de la Tocnaye, “All-optical implementation of a selforganizing map: a preliminary approach,” Appl. Opt. 33, 258-266 (1994).
5. K. Wagner and D. Psaltis, “Multilayer optical learning networks,” Appl. Opt. 26, 5061-5076 (1987).
6. D. Psaltis and Y. Qiao, “Adaptive multilayer optical networks,” in Progress in Optics, E. Wolf, ed. (Pergamon, Oxford, 1993), Vol. 31.
7. Y. Owenchko, G. J. Dunning, E. Marom, and B. H. Soffer, “Holographic associative memory with nonlinearities in the conjugation domain,” Appl. Opt. 26, 1900-1910 (1987).
8. G. Montemezzani, G. Zhou, and D. Z. Anderson, “Self-organized learning of purely temporal information in a photorefractive optical resonator,” Opt. Lett. 19, 2012-2014 (1994).
9. R. Chevallier, “Associative memory for image classification: new interleaved coding of 4-dimensional information in a plane,” Int. J. Opt. Comput. 1, 71-87 (1990).
10. K. Heggarty and R. Chevallier, “Optical implementation of an improved Hopfield-like retrieval algorithm,” Opt. Commun. 91, 91-95 (1992).
11. T. Kohonen, “The self-organizing map,” Proc. IEEE 78, 1464-1480 (1990).
12. S. Midenet and A. Grumbach, “Supervised learning based on Kohonen’s self organizing feature maps,” Proc. INNC (Paris) 2, 773-776 (1990).
13. Y. Idan and R. Chevallier, “Handwritten digits recognition by a supervised Kohonen-like learning algorithm,” in Proceedings of the International Joint Conference on Neural Networks’91 (Institute of Electrical and Electronics Engineers, Bellingham, Wash., 1991), pp. 2576-2581.
14. Y. Idan, “Contribution a l’etude des reseaux de neurones formels pour la reconnaissance des formes. Application pour la reconnaissance de chiffres manuscrits,” Ph.D. dissertation 92 E 021 (Telecom-Paris, Paris, France, 1992).
15. H. J. White, “Experimental results from an optical implementation of a simple neural neural network,” in Optical Computing’88, P. Chavel, J. W. Goodman, and G. Roblin, eds., Proc. SPIE 963, 570-575 (1988).
16. D. Psaltis, J. Xu, and H. Lee, “Optical neural nets implemented with volume holograms,” in Optical Computing, Vol. 11 of 1987 OSA Technical Digest Series (Washington, D.C., 1987).
17. G. Sirat, A. Maruani, and R. Chevallier, “Frequency multiplexed raster neural networks I. Theory,” Appl. Opt. 28, 1429-1435 (1989).
18. M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, “Synthesis of digital holograms by direct binary search,” Appl. Opt. 26, 2788-2795 (1987).
19. R. Hauck and O. Bryngdahl, “Computer generated holograms with pulse density modulation,” J. Opt. Soc. Am. 1, 5-10 (1984).
20. M. Barge, K. Heggarty, and R. Chevallier, “Two methods for reducing the dynamic range of a holographic filter,” Appl. Opt. (to be published).
21. M. Barge, K. Heggarty, and R. Chevallier, “Comparison de deux methodes d’amelioration d’un montage de type correla-teur multi-canal,” presented at the Sixth Topical Meeting of the European Optical Society, Mulhouse, France, 23-26 October 1995, pp. 5.1-5.2.