| 基于随机粗糙样本的统计学习理论研究 |
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| 引用本文： | 张植明.基于随机粗糙样本的统计学习理论研究[J].计算机工程与应用,2008,44(31):43-46. |
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| 作者姓名： | 张植明 |
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| 作者单位： | 河北大学数学与计算机学院,河北,保定,071002 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，教育部科学技术研究重点项目，河北省教育厅科研项目 |
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| 摘 要： | 介绍随机粗糙理论的基本内容。提出随机粗糙经验风险泛函，随机粗糙期望风险泛函，随机粗糙经验风险最小化原则等概念。最后证明基于随机粗糙样本的统计学习理论的关键定理并讨论学习过程一致收敛速度的界。
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| 关 键 词： | 随机粗糙样本 统计学习理论 随机粗糙经验风险最小化原则 关键定理 一致收敛速度的界 |
| 收稿时间： | 2008-4-28 |
| 修稿时间： | 2008-7-2
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Some studies of statistical learning theory based on random rough samples |
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| ZHANG Zhi-ming.Some studies of statistical learning theory based on random rough samples[J].Computer Engineering and Applications,2008,44(31):43-46. |
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| Authors: | ZHANG Zhi-ming |
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| Affiliation: | College of Mathematics and Computer Sciences，Hebei University，Baoding，Hebei 071002，China |
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| Abstract: | Firstly,random rough theory is introduced.Secondly some concepts such as random rough empirical risk functional,random rough expected risk functional and random rough empirical risk minimization principle are proposed.Finally the key theorem of statistical learning theory based on random rough samples is proved,and the bounds on the rate of uniform convergence of learning process are discussed. |
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| Keywords: | random rough samples statistical learning theory random rough empirical risk minimization principle the key theorem the bounds on the rate of uniform convergence |
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