| 一种新的光滑支持向量机的构造及其应用 |
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| 引用本文： | 张晓丹,赵红玲,王敏.一种新的光滑支持向量机的构造及其应用[J].数学的实践与认识,2014(5). |
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| 作者姓名： | 张晓丹 赵红玲 王敏 |
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| 作者单位： | 北京科技大学数理学院; |
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| 摘 要： | 光滑支持向量机模型是一个无约束、可微的最优化模型,人们可应用快速的最优化方法求解,从而降低计算复杂性.在前人工作的基础上研究基于样条函数的光滑支持向量机,采用广义三弯矩方法构造出六次样条光滑函数,分析了其性能及与正号函数的逼近精度,实现了求解六次样条光滑支持向量机的算法,与其它光滑支持向量机进行了比较,取得了较好的结果.最后将其应用于心脏病模型诊断,实验结果显示具有较高的精确度.
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| 关 键 词： | 支持向量机 样条函数 光滑函数 广义三弯矩法 心脏病 |
The Structure and Application of a New Smooth Support Vector Machine |
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| Abstract: | The Smooth Support Vector Machine(SSVM) model is a unconstrained and differentiable optimization model,we can solve the problem with a significant reduction in calculation complexity by the means of a fast optimization method.In this paper,the spline smooth SVM is studied.A six-order spline function is constructed by using the general three-moment method.Its property is analyzed,and its approximation precision with(·)_+is computed.And it is compared with other smoothing support vector machines,obtaining very good results.Smooth algorithm is studied.Finally,it is applied into the heart disease diagnosis mode and the results turn out to be highly precise. |
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| Keywords: | support vector machine spline function smoothing function general threemoment method heart disease |
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