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Elman网络梯度学习法的收敛性

吴微 徐东坡 李正学

吴微, 徐东坡, 李正学. Elman网络梯度学习法的收敛性[J]. 应用数学和力学, 2008, 29(9): 1117-1123.
引用本文: 吴微, 徐东坡, 李正学. Elman网络梯度学习法的收敛性[J]. 应用数学和力学, 2008, 29(9): 1117-1123.
WU Wei, XU Dong-po, LI Zheng-xue. Convergence of Gradient Method for Elman Networks[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1117-1123.
Citation: WU Wei, XU Dong-po, LI Zheng-xue. Convergence of Gradient Method for Elman Networks[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1117-1123.

Elman网络梯度学习法的收敛性

基金项目: 国家自然科学基金资助项目(10471017)
详细信息
    作者简介:

    吴微(1953- ),男,黑龙江牡丹江人,教授,博士生导师(联系人.Tel:+86-411-84708294;E-mail:wuweiw@dlut.edu.cn).

  • 中图分类号: TP183

Convergence of Gradient Method for Elman Networks

  • 摘要: 考虑有限样本集上Elman网络梯度学习法的确定性收敛性.证明了误差函数的单调递减性.给出了一个弱收敛性结果和一个强收敛结果,表明误差函数的梯度收敛于0,权值序列收敛于固定点.通过数值例子验证了理论结果的正确性.
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出版历程
  • 收稿日期:  2007-12-05
  • 修回日期:  2008-07-19
  • 刊出日期:  2008-09-15

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