کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609098 1338409 2010 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Radial kernels and their reproducing kernel Hilbert spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Radial kernels and their reproducing kernel Hilbert spaces
چکیده انگلیسی

We describe how to use Schoenberg’s theorem for a radial kernel combined with existing bounds on the approximation error functions for Gaussian kernels to obtain a bound on the approximation error function for the radial kernel. The result is applied to the exponential kernel and Student’s kernel. To establish these results we develop a general theory regarding mixtures of kernels. We analyze the reproducing kernel Hilbert space (RKHS) of the mixture in terms of the RKHS’s of the mixture components and prove a type of Jensen inequality between the approximation error function for the mixture and the approximation error functions of the mixture components.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Complexity - Volume 26, Issue 6, December 2010, Pages 641–660
نویسندگان
, , , ,