| 样本依赖型最小平方回归学习算法的收敛速度 |
| |
| 引用本文： | 王依盈,周燕,陈峥,高思思,盛宝怀. 样本依赖型最小平方回归学习算法的收敛速度[J]. 宝鸡文理学院学报(自然科学版), 2011, 31(3): 5-9. DOI: 61-1290/N.20110921.1105.001 |
| |
| 作者姓名： | 王依盈 周燕 陈峥 高思思 盛宝怀 |
| |
| 作者单位： | 绍兴文理学院数学系,浙江绍兴,312000 |
| |
| 基金项目： | 国家自然科学基金项目(No.10871226); 浙江省自然科学基金项目(No.Y6100096) |
| |
| 摘 要： | 目的研究基于样本依赖型的范数正则化学习算法的收敛性分析。方法概率论与数理统计的方法。结果给出了一种用K-泛函表示的收敛速度。结论文中的研究表明,样本依赖型学习算法与通常的核学习算法具有相同的收敛速度。
|
| 关 键 词： | 学习理论 最小平方回归 样本依赖型再生核Hilbert空间 学习速度 |
The convergence rate of learning algorithm for least square regression with sample dependent hypothesis spaces |
| |
| WANG Yi-ying,ZHOU Yan,CHEN Zheng,GAO Si-si,SHENG Bao-huai. The convergence rate of learning algorithm for least square regression with sample dependent hypothesis spaces[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2011, 31(3): 5-9. DOI: 61-1290/N.20110921.1105.001 |
| |
| Authors: | WANG Yi-ying ZHOU Yan CHEN Zheng GAO Si-si SHENG Bao-huai |
| |
| Affiliation: | WANG Yi-ying,ZHOU Yan,CHEN Zheng,GAO Si-si,SHENG Bao-huai(Department of Mathematics,Shaoxing College of Arts and Sciences,Shaoxing 312000,Zhejiang,China) |
| |
| Abstract: | Aim The convergence for the norm regularized learning algorithm depending upon the sample is analyzed.Methods The probability theory and mathematical statistics are used.Results A kind of convergence rate is provided with a K-functional.Conclusion The results show that the convergence rate of least square regression with sample dependent hypothesis spaces is the same as that of the usual kernel learning scheme. |
| |
| Keywords: | learning theory least square regression sample dependent reproducing kernel Hilbert spaces learning rate |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
