Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Optical inner-product implementation of neural networks models

Not Accessible

Your library or personal account may give you access

Abstract

The Hopfield neural network model is described in terms of inner product, i.e., as a matched filtering step followed by a pattern synthesis step. Optical implementation by two cascaded coherent filtering setups with holographic matched filters is described. Suitable encoding of information in the form of bipolar (positive or negative) amplitudes in one hologram and of non-negative amplitudes in the other allows one to deal only with non-negative quantities in the input and output planes, thereby avoiding use of multiple channels and coherent detection. The performance of this scheme is analytically evaluated. The above coding can moreover be adapted to the cases of nonzero average memorized states and to the higher-order models associated to Hopfield’s algorithm. Numerical simulations and experimental results are presented to illustrate the analysis.

© 1989 Optical Society of America

Full Article  |  PDF Article
More Like This
Optical implementation of an associative neural network model with a stochastic process

Jun Ohta, Shuichi Tai, Masaya Oita, Kenichi Kuroda, Kazuo Kyuma, and Koichi Hamanaka
Appl. Opt. 28(12) 2426-2428 (1989)

Optical implementation of the Hopfield neural network using multiple fiber nets

Fumihiko Ito and Ken-ichi Kitayama
Appl. Opt. 28(19) 4176-4181 (1989)

Statistical performance of outer-product associative memory models

Arthur F. Gmitro, Paul E. Keller, and Gene R. Gindi
Appl. Opt. 28(10) 1940-1948 (1989)

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 Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

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

Equations (63)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved