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Paper Publications
Convergence analysis of batch gradient algorithm for three classes of sigma-pi neural networks
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Indexed by:Journal Article
Date of Publication:2007-12-01
Journal:NEURAL PROCESSING LETTERS
Included Journals:Scopus、EI、SCIE
Volume:26
Issue:3
Page Number:177-189
ISSN:1370-4621
Key Words:convergence; sigma-Pi-Sigma neural networks; sigma-Sigma-Pi neural networks; sigma-Pi-Sigma-Pi neural networks; batch gradient algorithm; monotonicity
Abstract:Sigma-Pi (Sigma u-Sigma a) 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: Sigma u-Sigma a-Sigma u, Sigma u-Sigma u-Sigma a and Sigma u-Sigma a-Sigma u-Sigma a. The monotonicity of the error function in the iteration is also guaranteed.
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