文章基本信息

标题：Quaternionic Multilayer Perceptron with Local Analyticity
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作者：Teijiro Isokawa ; Haruhiko Nishimura ; Nobuyuki Matsui 等
期刊名称：Information
电子版ISSN：2078-2489
出版年度：2012
卷号：3
期号：4
页码：756-770
DOI：10.3390/info3040756
语种：English
出版社：MDPI Publishing
摘要：A multi-layered perceptron type neural network is presented and analyzed in this paper. All neuronal parameters such as input, output, action potential and connection weight are encoded by quaternions, which are a class of hypercomplex number system. Local analytic condition is imposed on the activation function in updating neurons’ states in order to construct learning algorithm for this network. An error back-propagation algorithm is introduced for modifying the connection weights of the network.
关键词：quaternion; local analyticity; Wirtinger calculus; multilayer perceptron; error back-propagation