Convergence Analysis of Batch Gradient Algorithm for Three Classes of Sigma-Pi Neural Networks

作者:Chao Zhang, Wei Wu, Yan Xiong

摘要

Sigma-Pi (Σ-Π) neural networks (SPNNs) are known to provide more powerful mapping capability than traditional feed-forward neural networks. A unified convergence analysis for the batch gradient algorithm for SPNN learning is presented, covering three classes of SPNNs: Σ-Π-Σ, Σ-Σ-Π and Σ-Π-Σ-Π. The monotonicity of the error function in the iteration is also guaranteed.

论文关键词:Convergence, Sigma-Pi-Sigma neural networks, Sigma-Sigma-Pi neural networks, Sigma-Pi-Sigma-Pi neural networks, Batch gradient algorithm, Monotonicity

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论文官网地址:https://doi.org/10.1007/s11063-007-9050-0