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Estimation of approximating rate for neural network in L w p spaces
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نویسنده
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wang j.-j. ,yang c.-y. ,jing j.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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A class of soblove type multivariate function is approximated by feedforward network with one hidden layer of sigmoidal units and a linear output. by adopting a set of orthogonal polynomial basis and under certain assumptions for the governing activation functions of the neural network,the upper bound on the degree of approximation can be obtained for the class of soblove functions. the results obtained are helpful in understanding the approximation capability and topology construction of the sigmoidal neural networks. © 2012 jian-jun wang et al.
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آدرس
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school of mathematics and statistics,southwest university, China, department of mechanical engineering,taipei chengshih university of science and technology,no.2 xue-yuan rd.,beitou, Taiwan, school of mathematics and statistics,southwest university, China
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Authors
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