Cloning template design of cellular neural networks for associative memories

This brief presents a synthesis procedure (design algorithm) for cellular neural networks with space-invariant cloning template with applications to associative memories. The design algorithm makes it possible to determine in a systematic manner cloning templates for cellular neural networks with or without symmetry constraints on the interconnection weights. Two specific examples are included to demonstrate the applicability of the methodology developed herein.

[1]  A.N. Michel,et al.  Associative memories via artificial neural networks , 1990, IEEE Control Systems Magazine.

[2]  Josef A. Nossek,et al.  Design of robust cellular neural networks , 1993 .

[3]  R. Perfetti,et al.  Associative memory design using space-varying cellular neural networks , 1992, CNNA '92 Proceedings Second International Workshop on Cellular Neural Networks and Their Applications.

[4]  Leon O. Chua,et al.  CNN cloning template: connected component detector , 1990 .

[5]  A. Michel,et al.  Analysis and synthesis of a class of neural networks: linear systems operating on a closed hypercube , 1989 .

[6]  Derong Liu,et al.  Cellular neural networks for associative memories , 1993 .

[7]  Leon O. Chua,et al.  Image thinning with a cellular neural network , 1990 .

[8]  M. Brucoli,et al.  Discrete-time cellular neural networks for associative memories with learning and forgetting capabilities , 1995 .

[9]  Jozsef Csicsvari,et al.  High-speed character recognition using a dual cellular neural network architecture (CNND) , 1993 .

[10]  Takao Hinamoto,et al.  Weighted sensitivity minimization synthesis of 2-D filter structures using the Fornasini-Marchesini second model , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[11]  J. A. Nossek,et al.  Winner-take-all cellular neural networks , 1993 .

[12]  A. Michel,et al.  Dynamical Systems with Saturation Nonlinearities: Analysis and Design , 1994 .

[13]  Mancia Anguita,et al.  Analog CMOS implementation of a discrete time CNN with programmable cloning templates , 1993 .

[14]  Derong Liu,et al.  Robustness analysis and design of a class of neural networks with sparse interconnecting structure , 1996, Neurocomputing.

[15]  B. Ling,et al.  A cellular network formed of Hopfield networks , 1992, [1992] Proceedings of the 35th Midwest Symposium on Circuits and Systems.

[16]  Paul Moroney,et al.  The digital implementation of control compensators: The coefficient wordlength issue , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[17]  Derong Liu,et al.  Sparsely interconnected neural networks for associative memories with applications to cellular neural networks , 1994 .

[18]  Leon O. Chua,et al.  CNN cloning template: shadow detector , 1990 .

[19]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[20]  Leon O. Chua,et al.  The CNN paradigm , 1993 .

[21]  Leon O. Chua,et al.  CNN cloning template: hole-filler , 1990 .

[22]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .