Journal of Computer and Communications
Volume 2, Issue 1 (January 2014)
ISSN Print: 2327-5219 ISSN Online: 2327-5227
Google-based Impact Factor: 1.12 Citations
Learning Dynamics of the Complex-Valued Neural Network in the Neighborhood of Singular Points ()
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ABSTRACT
In this paper, the singularity and its effect on learning dynamics in the complex-valued neural network are elucidated. It has learned that the linear combination structure in the updating rule of the complex-valued neural network increases the speed of moving away from the singular points, and the complex-valued neural network cannot be easily influenced by the singular points, whereas the learning of the usual real-valued neural network can be attracted in the neighborhood of singular points, which causes a standstill in learning. Simulation results on the learning dynamics of the three-layered real-valued and complex-valued neural networks in the neighborhood of singularities support the analytical results.
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