## Algorithm for optimizing bipolar interconnection weights with applications in associative memories and multitarget classification

Applied Optics, Vol. 38, Issue 23, pp. 5032-5038 (1999)

http://dx.doi.org/10.1364/AO.38.005032

Enhanced HTML Acrobat PDF (206 KB)

### Abstract

An algorithm for optimizing a bipolar interconnection weight matrix with the Hopfield network is proposed. The effectiveness of this algorithm is demonstrated by computer simulation and optical implementation. In the optical implementation of the neural network the interconnection weights are biased to yield a nonnegative weight matrix. Moreover, a threshold subchannel is added so that the system can realize, in real time, the bipolar weighted summation in a single channel. Preliminary experimental results obtained from the applications in associative memories and multitarget classification with rotation invariance are shown.

© 1999 Optical Society of America

**OCIS Codes**

(070.5010) Fourier optics and signal processing : Pattern recognition

(200.3050) Optics in computing : Information processing

(200.4260) Optics in computing : Neural networks

(200.4490) Optics in computing : Optical buffers

(200.4650) Optics in computing : Optical interconnects

(200.4860) Optics in computing : Optical vector-matrix systems

**History**

Original Manuscript: July 20, 1998

Revised Manuscript: April 30, 1999

Published: August 10, 1999

**Citation**

Shengjiang Chang, Kwok-Wo Wong, Wenwei Zhang, and Yanxin Zhang, "Algorithm for optimizing bipolar interconnection weights with applications in associative memories and multitarget classification," Appl. Opt. **38**, 5032-5038 (1999)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-23-5032

Sort: Year | Journal | Reset

### References

- N. Farhat, D. Psaltis, A. Prata, E. Peak, “Optical implementation of the Hopfield model,” Appl. Opt. 24, 1469–1474 (1985). [CrossRef] [PubMed]
- Y. Zhang, S. Chang, Z. Feng, S. Gao, G. Mu, “Multimode operation in an optical/digital neuroprocesser with 1024 neurons,” Opt. Eng. 35, 2132–2135 (1996). [CrossRef]
- K. Noguch, “Large-scale two-dimensional optical Hopfield associative memory using an incoherent optical free-space interconnection,” Opt. Lett. 16, 1110–1112 (1991). [CrossRef]
- T. Lu, S. Wu, X. Xu, F. T. S. Yu, “Two-dimensional programmable optical neural network,” Appl. Opt. 28, 4908–4913 (1989). [CrossRef] [PubMed]
- M. Lu, Y. Zhan, G. Mu, “Bipolar optical neural network with adaptive threshold,” Optik 91, 178–182 (1992).
- S. Chang, Z. Song, C. Jin, Y. Zhang, “Adaptive clipped model and its optical implementation,” Optik 107, 135–140 (1998).
- T. Lu, X. Xu, S. Wu, F. T. S. Yu, “Neural network model using interpattern association,” Appl. Opt. 29, 284–288 (1990). [CrossRef] [PubMed]
- X. Yang, T. Lu, F. T. S. Yu, D. Gregory, “Redundant interconnection interpattern association neural network,” Appl. Opt. 30, 5182–5187 (1991). [CrossRef] [PubMed]
- W. Huang, Y. Zhang, “A Monte Carlo learning algorithm for clipped neural network model,” Optoelectron. 7, 133–137 (1992).
- Y. H. Li, Y. M. Zhang, Z. Q. Wang, Y. Sun, Y. X. Zhang, “Real-time multi-target classification of the cascaded neural network and its opto-electric hybrid implementation,” Optik. 106, 91–95 (1997).
- J. J. Hopfield, “Neural networks and physical systems with emergent collective computational abilities,” Proc. Natl. Acad. Sci. USA 79, 2254–2558 (1982). [CrossRef]
- C. Peterson, “Parallel distributed approaches to combinatorial optimization: benchmark studies on travelling salesman problem,” Neural Comput. 2, 261–269 (1990). [CrossRef]
- D. W. Tank, J. J. Hopfield, “Simple neural optimization network: an A/D converter, signal decision circuit, and a linear programming circuit,” IEEE Trans. Circuits Syst. CAS-35, 533–541 (1986). [CrossRef]
- T. Lu, K. Choi, S. Wu, X. Xu, F. T. S. Yu, “Optical disk based neural network,” Appl. Opt. 28, 4722–4724 (1989). [CrossRef] [PubMed]
- C. Uang, G. Lu, F. T. S. Yu, “Unipolar interpattern association (IPA) neural networks,” Opt. Lett. 19, 52–54 (1994). [CrossRef] [PubMed]
- S. Chang, J. Shen, Y. Zhang, “High-capacity neural networks model with unipolar and binary interconnection,” Acta Photonica Sin. (China) 25, 866–870 (1996).
- S. Chang, J. Shen, Y. Zhang, “A neural networks model with trinary interconnection weights based on orthogonal algorithm,” Acta Optica Sin. (China) 16, 1126–1132 (1996).
- C. Uang, S. Yin, G. Lu, F. T. S. Yu, “Shift- and rotation-invariant interpattern heteroassociation (IHA) model,” Opt. Commun. 104, 285–292 (1994). [CrossRef]

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.