Learning Dynamics of the Complex-Valued Neural Network in the Neighborhood of Singular Points

• 作者: Tohru Nitta
• 来源期刊: 电脑和通信(英文)
• 学科: 数学
• 关键词: Complex-Valued NEURAL Network COMPLEX Number LEARNING SINGULAR Point
• 年，卷（期）: 2014,（1）
• 页码范围: 27-32
• 页数: 6页
• 分类号: O1

摘要

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.