Accuracy of approximations of solutions to Fredholm equations by kernel methods
Accuracy of approximations of solutions to Fredholm equations by kernel methods
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DOI：
10.1016/j.amc.2012.01.015
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发表时间：
2012-03-15
影响因子：
4
通讯作者：
Sanguineti, Marcello
中科院分区：
文献类型：
--
作者：
Gnecco, Giorgio;Kurkova, Vera;Sanguineti, Marcello
研究了第二类非齐次Fredholm型积分方程径向网络和核网络的近似解。给出了模型复杂度不断增加的网络逼近这些方程的解的误差的上界。利用非线性逼近理论的结果得到了边界。将结果应用于具有高斯单元和核单元的网络，并通过数值仿真进行了说明。(C)2012 Elsevier Inc.保留所有权利。
Approximate solutions to inhomogeneous Fredholm integral equations of the second kind by radial and kernel networks are investigated. Upper bounds are derived on errors in approximation of solutions of these equations by networks with increasing model complexity. The bounds are obtained using results from nonlinear approximation theory. The results are applied to networks with Gaussian and kernel units and illustrated by numerical simulations. (C) 2012 Elsevier Inc. All rights reserved.