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用连续回归神经网络求解泛函极值问题

刘贺平 张兰玲 孙一康

刘贺平, 张兰玲, 孙一康. 用连续回归神经网络求解泛函极值问题[J]. 电子与信息学报, 2000, 22(5): 729-734.
引用本文: 刘贺平, 张兰玲, 孙一康. 用连续回归神经网络求解泛函极值问题[J]. 电子与信息学报, 2000, 22(5): 729-734.
Liu Heping, Zhang Lanling, Sun Yikang . A CONTINUOUS TIME RECURRENT NEURAL NETWORK BASED METHOD TO SOLVE FUNCTIONAL MINIMIZATION PROBLEM[J]. Journal of Electronics & Information Technology, 2000, 22(5): 729-734.
Citation: Liu Heping, Zhang Lanling, Sun Yikang . A CONTINUOUS TIME RECURRENT NEURAL NETWORK BASED METHOD TO SOLVE FUNCTIONAL MINIMIZATION PROBLEM[J]. Journal of Electronics & Information Technology, 2000, 22(5): 729-734.

用连续回归神经网络求解泛函极值问题

A CONTINUOUS TIME RECURRENT NEURAL NETWORK BASED METHOD TO SOLVE FUNCTIONAL MINIMIZATION PROBLEM

  • 摘要: 针对信息科学和控制理论中经常涉及的一类泛函极值问题,提出基于连续回归神经网络的求解方法。推导了求解泛函的连续BPTT算法,进而对该算法进行改进,得出一种在线学习算法,为并行实现打下了基础.
  • 叶庆凯,郑应干编著.变分法及其应用.国防工业出版社,1991.[2]Funahashi K,Nakamura Y.Approximation of dynamical systems by continuous time recurrent neural networks[J].Neural Network.1993,6:801-806[3]Rumelhart D E,Hinton G E,Williams R J.Learning internal representations by error propagation.in Parallel Distributed Processing.Rumelhart,D.E.,McClelland,J.L.Eds.,Cambridge,MA:M.I.T Press,1986. [4]Werbos P J.Backpropagation through time:What it does and how to do it,Proc.of IEEE,1990,78(10):1550-1560.[4]Pearlmutter B A.Learning state space trajectories in recurrent neural network,IEEE Proc.IJCNN,1989,2:365-372.[5]Sato M.A Learning algorithm to teach spatiotemporal patterns to recurrent neural networks[J].Biological Cybernetics.1990,62:259-263[6]Williams R J,Zipser D.A Learning algorithm for continually running fully recurrent neural networks.Neural Computation.1989,1(2):270-280.[7]Baldi P.Gradient learning algorithm overview:A general dynamical systems perspective.IEEE Trans.on Neural Networks.1995,6(1):182-195.
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出版历程
  • 收稿日期:  1998-11-30
  • 修回日期:  1999-06-21
  • 刊出日期:  2000-09-19

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