Convergence Rate of Coefficient Regularized Kernel-based Learning Algorithms

Authors

Sheng Baohuai, Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, P. R. China
Ye Peixin
Yu Wangke

Author Country (or Countries)

P. R. China

Abstract

We investigate machine learning for the least square regression with data dependent hypothesis and coefficient regularization algorithms based on general kernels. We provide some estimates for the learning raters of both regression and classification when the hypothesis spaces are sample dependent. Under a weak condition on the kernels we derive learning error by estimating the rate of some K-functional when the target functions belong to the range of some Hilbert-Schmidt integral operator.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080251

Recommended Citation

Baohuai, Sheng; Peixin, Ye; and Wangke, Yu (2014) "Convergence Rate of Coefficient Regularized Kernel-based Learning Algorithms," Applied Mathematics & Information Sciences: Vol. 08: Iss. 2, Article 51.
DOI: http://dx.doi.org/10.12785/amis/080251
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss2/51