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The essential rate of approximation for radial function manifold |
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| Authors: | LIN ShaoBo CAO FeiLong & XU ZongBen Institute for Information System Sciences Xi'an Jiaotong University Xi'an China |
| Affiliation: | LIN ShaoBo 1,CAO FeiLong 2,& XU ZongBen 1 1 Institute for Information and System Sciences,Xi'an Jiaotong University,Xi'an 710049,China,2 Institute of Metrology and Computational Sciences,China Jiliang University,Hangzhou 310018 |
| Abstract: | In this paper,we investigate the radial function manifolds generated by a linear combination of radial functions.Let Wpr(Bd) be the usual Sobolev class of functions on the unit ball B d.We study the deviation from the radial function manifolds to Wpr(Bd).Our results show that the upper and lower bounds of approximation by a linear combination of radial functions are asymptotically identical.We also find that the radial function manifolds and ridge function manifolds generated by a linear combination of ridg... |
| Keywords: | radial function rate of approximation Sobolev class ridge function |
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