On the EXISTENCE OF HOPFIELD NEURAL NETWORKS: SYNTHESIS OF HOPFIELD TYPE ASSOCIATIVE MEMORIES:
نویسندگان
چکیده
In this research paper, the problem of existence of the associative memory synthesized by Hopfield is addressed and solved. Using Hadamard matrix of suitable dimension, an algorithm to synthesize real valued Hopfield neural network is discussed. The problem of existence and synthesis of a certain complex Hopfield neural network is addressed and solved. Also, synthesis of real and complex Hopfield type associative memories is discussed. Novel Complex Hadamard matrices are defined and studied. Using such matrices Novel Complex Hadamard transform is proposed. Also complex Walsh functions are proposed. Certain interesting distance measures are defined.
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