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In this paper, the singularity and its effect onlearning dynamics in the complex-valued neural network are elucidated. It has learned that the linear combination structure inthe updating rule of the complex-valued neural network increases the speed ofmoving away from the singular points, and the complex-valued neural networkcannot be easily influenced by the singular points, whereas the learning of theusual real-valued neural network can be attracted in the neighborhood ofsingular points, which causes a standstill in learning. Simulation results onthe learning dynamics of the three-layered real-valued and complex-valuedneural networks in the neighborhood of singularities support the analyticalresults.

KEYWORDS

Complex-Valued Neural Network; Complex Number; Learning; Singular Point

Cite this paper

Nitta, T. 2014 Learning Dynamics of the Complex-Valued Neural Network in the Neighborhood of Singular Points. Journal of Computer and Communications, 2, 27-32. doi: 10.4236-jcc.2014.21005.





Author: Tohru Nitta

Source: http://www.scirp.org/



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