Quaternionic Multilayer Perceptron with Local Analyticity
نویسندگان
چکیده
منابع مشابه
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 activation function in updating neurons’ states in order to construct learning algorithm for this netwo...
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~omplex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it’ includes the standard complex definition and does not reduce analytic functions to a trivial class. A brief comparison with other definitions is presented. @ 2003 Elsevier Ltd. All rights reserved. Keywords-&uaternions, Analytic functions, Differential operators.
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ژورنال
عنوان ژورنال: Information
سال: 2012
ISSN: 2078-2489
DOI: 10.3390/info3040756