DocumentCode
1592748
Title
Learning Rate of Least Square Regressions with Some Kind of Mercer Kernel
Author
Baohui Sheng ; Liqin Duan ; Peixin Ye
Author_Institution
Dept. of Math., Shaoxing Coll. of Arts & Sci., Shaoxing, China
fYear
2012
Firstpage
329
Lastpage
332
Abstract
We consider the error estimate of least square regression with data dependent hypothesis and coefficient regularization algorithms based on general kernel. When the kernel belongs to some kind of Mercer kernel, under a mild regularity condition on the regression function, we derive a dimensional-free learning rate m-1/6.
Keywords
learning (artificial intelligence); least squares approximations; regression analysis; Mercer kernel; coefficient regularization algorithms; data dependent hypothesis; general kernel; learning rate; least square regressions; Convergence; Educational institutions; Eigenvalues and eigenfunctions; Kernel; Least squares approximation; Machine learning; Coeffi Data Dependent Hypothesis; Learning Rate Introduction; Mercer Kernel; Square Regressions; cient Regularization;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent System Design and Engineering Application (ISDEA), 2012 Second International Conference on
Conference_Location
Sanya, Hainan
Print_ISBN
978-1-4577-2120-5
Type
conf
DOI
10.1109/ISdea.2012.633
Filename
6173215
Link To Document