Dynamics of Higher Order Neural Networks and its Application

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In this research with higher order neural networks(HONN), we have obtained the following results.(1) HONN are superior in various numerical simulations to the conventional model.(1-1) HONN are superior in function approximation, pattern recognition and prediction of time series by using the same number of parameters of each model to the conventional model.(1-2) In the case of determining the structure of networks, HONN are superior to the conventional model.(1-3) HONN are superior in associative memory of sequential patterns to the conventional model.(2) Theoretical analysis are made with dynamic of HONN.(2-1) Dynamics of recalling ability in associative memory is shown theoretically.(2-2) It is shown that HONN are superior in separation ability of patterns to the conventional model.(3) HONN are superior in separation to the conventional model.Diagnosis systems of injury by salt for distribution lines are constructed by neural networks.It is shown that HONN are superior in this problem to the conventional model.