H. Kawabata et al., ASSOCIATIVE MEMORIES IN CELLULAR NEURAL NETWORKS USING A SINGULAR-VALUE DECOMPOSITION, Electronics and communications in Japan. Part 3, Fundamental electronic science, 80(1), 1997, pp. 59-68
Using various templates, many applications of cellular neural network
(CNN), such as a feature extraction, an edge detection and a pattern c
lassification have been considered. In a Hopfield network, an image to
be stored corresponds to the minimum value of the energy of the netwo
rk. However, in CNN, an image corresponds to the equilibrium state of
a differential equation. A synthesis procedure for designing a CNN tha
t will store a set of desired vectors as memory points using a singula
r value matrix decomposition is considered. Also analyzed here is the
indeterminate phenomenon of the equilibrium states of some cells that
arise in the case in which more than two similar patterns are stored f
or Chinese characters.