2003年
On the Inherent Property of the Decision Boundary in Complex-Valued Neural Networks.
Neurocomputing
- 巻
- 50
- 号
- C
- 開始ページ
- 291
- 終了ページ
- 303
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/S0925-2312(02)00568-4
- 出版者・発行元
- ELSEVIER SCIENCE BV
This paper shows the differences between the real-valued neural network and the complex-valued neural network by analyzing their fundamental properties from the view of architectures. The main results may be summarized as follows: (a) A single complex-valued neuron with n-inputs is equivalent to two real-valued neurons with 2n-inputs which have a restriction on a set of weight parameters. (b) The decision boundary of a single complex-valued neuron consists of two hypersurfaces which intersect orthogonally. (c) The decision boundary of a three-layered complex-valued neural network has the orthogonal structure. (d) The orthogonality of the decision boundary in the three-layered Complex-BP network can improve its generalization ability. (e) The average of the learning speed of the Complex-BP is several times faster than that of the Real-BP, and the standard deviation of the learning speed of the Complex-BP is smaller than that of the Real-BP. (C) 2002 Elsevier Science B.V. All rights reserved.
- リンク情報
-
- DOI
- https://doi.org/10.1016/S0925-2312(02)00568-4
- DBLP
- https://dblp.uni-trier.de/rec/journals/ijon/Nitta03
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000180567700017&DestApp=WOS_CPL
- URL
- https://dblp.uni-trier.de/db/journals/ijon/ijon50.html#Nitta03
- ID情報
-
- DOI : 10.1016/S0925-2312(02)00568-4
- ISSN : 0925-2312
- DBLP ID : journals/ijon/Nitta03
- Web of Science ID : WOS:000180567700017