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Models of Complex-Valued Hopfield-Type Neural Networks and Their Dynamics

Models of Complex-Valued Hopfield-Type Neural Networks and Their Dynamics
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Author(s): Yasuaki Kuroe (Kyoto Institute of Technology, Japan)
Copyright: 2009
Pages: 19
Source title: Complex-Valued Neural Networks: Utilizing High-Dimensional Parameters
Source Author(s)/Editor(s): Tohru Nitta (National Institute of Advanced Industrial Science and Technology, Japan)
DOI: 10.4018/978-1-60566-214-5.ch006

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Abstract

This chapter presents models of fully connected complex-valued neural networks which are complex-valued extension of Hopfield-type neural networks and discusses methods to study their dynamics. In particular the authors investigate existence conditions of energy functions for complex-valued Hopfield-type neural networks. Emphasized are the properties of the activation functions which assure the existence of an energy function for the networks. As an application of the energy function, qualitative analysis of the network by utilizing the energy function is shown and a synthesis method of complex-valued associative memories is discussed.

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