کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705216 1012426 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Learning errors of linear programming support vector regression
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Learning errors of linear programming support vector regression
چکیده انگلیسی

In this paper, we give several results of learning errors for linear programming support vector regression. The corresponding theorems are proved in the reproducing kernel Hilbert space. With the covering number, the approximation property and the capacity of the reproducing kernel Hilbert space are measured. The obtained result (Theorem 2.1) shows that the learning error can be controlled by the sample error and regularization error. The mentioned sample error is summarized by the errors of learning regression function and regularizing function in the reproducing kernel Hilbert space. After estimating the generalization error of learning regression function (Theorem 2.2), the upper bound (Theorem 2.3) of the regularized learning algorithm associated with linear programming support vector regression is estimated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 35, Issue 4, April 2011, Pages 1820–1828
نویسندگان
, ,