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对支持向量机混合核函数方法的再评估

魏瑾瑞   

  • 出版日期:2015-02-15 发布日期:2015-03-17

A Reevaluation of Mixed Kernel Function for Support Vector Machine

Wei Jinrui   

  • Online:2015-02-15 Published:2015-03-17

摘要: 混合核函数方法并没有解决核函数的选择问题,只是将问题等价转换为权重参数的选择。同时该方法还需要分别为两个核函数确定参数,大大增加了算法的复杂程度,限制了支持向量机的泛化能力。事实上,调节核函数的参数对分类结果的影响要远大于选择什么类型的核函数,因此混合核函数方法实属“避轻就重”。实证分析表明,不同核函数对应的共同支持向量比例很高,存在很大程度的一致性,线性组合的意义并不大,这也是混合核函数方法无法有效提升分类性能的一个重要原因。

关键词: 支持向量机, 混合核核函数

Abstract: Mixed kernel function is not the right solution to the problem for selection of kernel function. It just transforms the problem to the selection of weight parameters. And we also need to determine the parameters of the two kernel functions respectively at the same time, which greatly increases the complexity of the algorithm and limits the generalization ability of support vec tor machine. In fact, the classification result depends on the parameters of kernel functions rather than itself. So the mixed kernel function actually dwells on the trivial. The empirical analysis shows that the proportion of common support vector, corresponding to different kernel functions, is very high. That means the linear combination of the kernel is not significant. It is an important reason that mixed kernel is unable to effectively improve the performance of classification.

Key words: Support Vector Machine, Mixed Kernel Function