Quaternionic Multilayer Perceptron with Local Analyticity
AbstractA 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.
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Isokawa, T.; Nishimura, H.; Matsui, N. Quaternionic Multilayer Perceptron with Local Analyticity. Information 2012, 3, 756-770.
Isokawa T, Nishimura H, Matsui N. Quaternionic Multilayer Perceptron with Local Analyticity. Information. 2012; 3(4):756-770.Chicago/Turabian Style
Isokawa, Teijiro; Nishimura, Haruhiko; Matsui, Nobuyuki. 2012. "Quaternionic Multilayer Perceptron with Local Analyticity." Information 3, no. 4: 756-770.