Abstract

A functional correspondence is shown among neural networks, symbolic substitution, digital computers, the permutation group SN, and optical correlator devices. Group and element networks are postulated. The dimensionality of the group number N is interpreted as a measure of the parallel capacity of a network. The principle of symbolic substitution is used to design S2 rules for a full binary adder, and neural model techniques are applied to produce a neural net implementing the adder. Optical neuromorphs are described for the processing nodes of the network.

© 1988 Optical Society of America

Full Article  |  PDF Article
Related Articles
Associative network applications to low-level machine vision

J. Michael Oyster, Fernando Vicuna, and Walter Broadwell
Appl. Opt. 26(10) 1919-1926 (1987)

Adaptive bidirectional associative memories

Bart Kosko
Appl. Opt. 26(23) 4947-4960 (1987)

Electronic hardware implementations of neural networks

A. P. Thakoor, A. Moopenn, John Lambe, and S. K. Khanna
Appl. Opt. 26(23) 5085-5092 (1987)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (4)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription