Quaternionic Multilayer Perceptron with Local Analyticity

Quaternionic Multilayer Perceptron with Local Analyticity

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 activa...

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Bibliographic Details
Main Authors: Nobuyuki Matsui, Haruhiko Nishimura, Teijiro Isokawa
Format: Article
Language:English
Published: MDPI AG 2012-11-01
Series:Information
Subjects:
quaternion
local analyticity
Wirtinger calculus
multilayer perceptron
error back-propagation
Online Access:http://www.mdpi.com/2078-2489/3/4/756

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http://www.mdpi.com/2078-2489/3/4/756

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