A design method of cellular neural networks with symmetric connections for associative memories

摘要

This report deals with the problem of designing cellular neural networks (CNNs) for associative memories. Concerning the problem, a design method of sparsely connected neural networks by means of the singular value decomposition has been proposed, and we can design CNNs by using this method. However this method has a problem that the complete stability of a designed CNN is not guaranteed because the CNN has non-symmetric connections in general. In this report, we give a new design method of CNNs which guarantees the symmetry of connections. Any CNN designed by our method is completely stable, because it has been proved that a CNN with symmetric connections is completely stable.