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Pattern Recognition
Volume 25, Issue 2, February 1992, Pages 197-209
 
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doi:10.1016/0031-3203(92)90101-N    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1992 Published by Elsevier Science B.V.

Relaxation by the Hopfield neural network

Shiaw-Shian Yua and Wen-Hsiang Tsaib, Corresponding Author Contact Information

a Advanced Technology Center, Computer and Communication Research Laboratories, Industrial Technology Research Institute, Chutung, Hsinchu, Taiwan 31015, Republic of China b Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan 30050, Republic of China

Received 20 June 1991; 
accepted 16 July 1991. ;
Available online 19 May 2003.

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Abstract

The relaxation process is a useful technique for using contextual information to reduce local ambiguity and achieve global consistency in various applications. It is basically a parallel execution model, adjusting the confidence measures of involved entities based on interrelated hypotheses and confidence measures. On the other hand, the neural network is a computational model with massively parallel execution capability. The output of each neuron depends mainly on the information provided by other neurons. Therefore, there exist certain common properties in the relaxation process and the neural network technique. A mapping method that makes the Hopfield neural network perform the relaxation process is proposed. By this method, the neural network technology can be easily adapted to solve the many problems which have already been solved by the relaxation process. An advantage of this is that the relaxation process can be performed in real time since the Hopfield network can be implemented by conventional analog circuits. Experimental results are given to demonstrate the feasibility of the proposed method by performing the image thresholding operation on the proposed neural network.

Author Keywords: Neural networks; Relaxation; Labeling problem; Hopfield model; Image thresholding

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Pattern Recognition
Volume 25, Issue 2, February 1992, Pages 197-209
 
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