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双正则化参数的L2-SVM参数选择
Parameter optimization of L2-SVM with two regularization parameters
【摘要】 寻找支持向量机(SVM)的最优参数是支持向量机研究领域的热点之一。2范数软间隔SVM(L2-SVM)将样本转化成线性可分,在原始单正则化参数L2-SVM的基础上,提出双正则化参数的L2-SVM,获得它的对偶形式,从而确定了最优化的目标函数。然后结合梯度法,提出了一种新的支持向量机参数选择的新方法(Doupenalty-Gradient)。实验使用了10个基准数据集,结果表明,Doupenalty-Gradient方法是可行且有效的。对于实验所用的样本,极大地改善了分类精度。
【Abstract】 Searching the optimal parameters is one of the most important area of SVM and often named as parameter optimization or parameter selection. The L2-SVM can convert the samples into linearly separable problem. Based on the performance, this paper proposes the L2-SVM with two regularization parameters, and the dual formulation of L2-SVM with two regularization parameters is deduced. Combining the objective function established on minimizing the VC dimension and the gradient method, a new algorithm called Doupenalty-Gradient is present. Ten benchmark datasets are used in the experiments, and the classifying accuracy is improved obviously. The experimental results show the wonderful property and the feasibility of Doupenalty-Gradient.
【Key words】 statistical learning theory; support vector machines; VC dimension; parameter selection;
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2014年08期
- 【分类号】TP181
- 【被引频次】7
- 【下载频次】134