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

Neural networks for computation: number representations and programming complexity

Not Accessible

Your library or personal account may give you access

Abstract

Methods for using neural networks for computation are considered. The success of such networks in finding good solutions to complex problems is found to be dependent on the number representation schemes used. Redundant schemes are found to offer advantages in terms of convergence. Neural networks are applied to the combinatorial optimization problem known as the Hitchcock problem and signal processing problems, such as matrix inversion and Fourier transformation. The concept of programming complexity is introduced. It is shown that for some computational problems, the programming complexity may be so great as to limit the utility of neural networks, while for others the investment of computation in programming the network is justified. Simulations of neural networks using a digital computer are presented.

© 1986 Optical Society of America

Full Article  |  PDF Article
More Like This
Artificial neural networks using complex numbers and phase encoded weights

Howard E. Michel and Abdul Ahad S. Awwal
Appl. Opt. 49(10) B71-B82 (2010)

Trainable optically programmed neural network

Richard G. Stearns
Appl. Opt. 31(29) 6230-6239 (1992)

Highly redundant number representation for medium accuracy optical computing

Ravindra A. Athale
Appl. Opt. 25(18) 3122-3127 (1986)

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 (11)

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

Tables (7)

You do not have subscription access to this journal. Article tables 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 (43)

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