| 基于最佳距离度量近邻法的邻域风险最小化方法 |
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| 引用本文： | 杞娴,胡光华,彭新俊.基于最佳距离度量近邻法的邻域风险最小化方法[J].云南大学学报(自然科学版),2004,26(5):373-377. |
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| 作者姓名： | 杞娴 胡光华 彭新俊 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 基金项目： | 云南省教育厅基金资助项目 ( 0 2ZY0 11)，云南大学理 (工 )科校级科研项目资助 ( 2 0 0 2Q0 19SL) . |
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| 摘 要： | 在邻域风险最小化原则中提出一种新的定义邻域半径的方法,即对任意训练样本点,首先利用最佳距离度量近邻法定义一个距离度量,并根据这个距离度量来寻找该样本点的最近邻,然后依据它们之间的距离来定义邻域半径,最后在原有邻域风险最小化算法的基础上建立基于最佳距离度量近邻法的邻域风险最小化算法.实例表明新提出的算法是正确的、有效的.
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| 关 键 词： | 邻域风险最小化 支持向量机 最佳距离度量近邻 |
| 文章编号： | 0258-7971(2004)05-0373-05 |
| 修稿时间： | 2004年1月6日 |
Vicinal risk minimization method based optimal distance measure |
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| QI Xian,HU Guang-hua,PING Xin-jun.Vicinal risk minimization method based optimal distance measure[J].Journal of Yunnan University(Natural Sciences),2004,26(5):373-377. |
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| Authors: | QI Xian HU Guang-hua PING Xin-jun |
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| Institution: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | A new method of defining vicinal radius in vicinal risk minimization (VRM) is proposed.For any training vector,according to optimal distance measure method,a distance measure is proposed.Depending on the distance measure,the vector's nearest neighbour can be found.Then according to the distance between the vector and the vector's nearest neighbour,a new definition of vicinal radius is proposed.At last,a new VRM algorithm based on previous VRM algorithm is set,and two numerical experiments are given to demonstrate the proposed approach's correctness and effectiveness. |
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| Keywords: | vicinal risk minimization support vector machine optimal distance measure neighbour |
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