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Complex-exponential Fourier neuronal network and its hidden-neuron growing algorithm
复指数Fourier神经元网络隐神经元衍生算法

Keywords: Fourier series,weights-direct-determination,feed-forward neural network,growing algorithm,complex-exponent
Fourier级数
,前向神经网络,权值直接确定,衍生算法,复指数

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Abstract:

Based on the approximation theory of Fourier-series working in square integrable space, a Fourier neuronal network was constructed by using activation functions of the complex exponential form. Then a weights-direct-determination method was derived to decide the neural-network weights immediately, which remedied the weaknesses of conventional BP neural networks such as small convergence rate, easily converging to local minimum and possibly lengthy or oscillatory learning process. A hidden-neurons-growing al...

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