计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (18): 64-65.
• 理论研究 • 上一篇 下一篇
黄仁泰,熊金志
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HUANG Ren-tai,XIONG Jin-zhi
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摘要: 光滑函数在支持向量机中起着重要的作用,因此寻找新的光滑函数是研究支持向量机的关键。用求导方法分析了光滑函数的光滑性能,推导并证明了一个六阶光滑函数;同时还用二分法对其逼近性能进行了分析,结果表明:该光滑函数具有比一至五阶光滑函数更高/好的逼近性能,这就为进一步研究支持向量机提供了一个新的光滑函数。
Abstract: Smoothing functions play an important role in Support Vector Machines(SVM),and to find out a good smoothing function is the key to research SVM.The paper derives and proves the performance of a 6th-order smoothing function using the differentiation method,and analyzes its approaching performance using dichotomy.The results show that the approximation accuracy of this 6th-order smoothing functions is better than that of the previously used smoothing functions.So it also provides a new smoothing function for further studying of SVM.
黄仁泰,熊金志. 一个支持向量机的新光滑函数及其性能分析[J]. 计算机工程与应用, 2008, 44(18): 64-65.
HUANG Ren-tai,XIONG Jin-zhi. New smoothing function and its properties for Support Vector Machines[J]. Computer Engineering and Applications, 2008, 44(18): 64-65.
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