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总间隔v-支持向量机及其几何问题*

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Keywords: 支持向量机(SVM),总间隔支持向量机(TM-SVM),总间隔v-支持向量机(TM-v-SVM),压缩凸包(CCH),几何算法

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Abstract:

提出总间隔v-支持向量机(TM-v-SVM),该算法可取得比v-SVM更好的理论分类性能.研究表明TM-v-SVM等价于求解特征空间中的两个压缩凸包的最近点对.讨论压缩凸包的相关性质,并给出对应的几何算法.数值模拟实验表明TM-v-SVM和对应的几何算法可取得比其它算法更好的性能.

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