| 基于支持向量机分类问题的勒让德核函数 |
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| 引用本文： | 张瑞,王文剑,张亚丹,孙芳玲.基于支持向量机分类问题的勒让德核函数[J].计算机科学,2012,39(7):222-224. |
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| 作者姓名： | 张瑞 王文剑 张亚丹 孙芳玲 |
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| 作者单位： | 1. 山东理工大学理学院 淄博255049
2. 山西大学计算智能与中文信息处理教育部重点实验室 太原030006;山西大学计算机与信息技术学院 太原030006 |
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| 基金项目： | 国家自然科学基金，教育部博士点基金，山东理工大学博士基金 |
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| 摘 要： | 基于勒让德正交多项式,提出了一类新的核函数——勒让德核函数。在双螺旋集和标准UCI数据集上的实验表明,在鲁棒性与泛化性能方面,该核函数比常用的核函数(多项式核、高斯径向基核等)具有更好的表现,而且其参数仅在自然数中取值,能大大缩短参数优化时间。
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| 关 键 词： | 支持向量机 核函数 模型选择 |
Legendre Kernel Function for Support Vector Classification |
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| ZHANG Rui
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WANG Wen-jian
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ZHANG Ya-dan
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SUN Fang-ling.Legendre Kernel Function for Support Vector Classification[J].Computer Science,2012,39(7):222-224. |
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| Authors: | ZHANG Rui WANG Wen-jian ZHANG Ya-dan SUN Fang-ling |
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| Affiliation: | 1(School of Science,Shandong University of Technology,Zibo 255049,China)1(Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, Shanxi University,Taiyuan 030006,China)2(School of Computer and Information Technology,Shanxi University,Taiyuan 030006,China)3 |
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| Abstract: | This paper presented a new set of kernel function-Legendre kernel function based on Legendre polynomial.The performance and robustness of the presented kernel were investigated on bi-spiral benchmark data set as well as five data sets from the UCI benchmark repository. I}he experiment results demonstrate that the presented kernel has competitive robust and generalization performance compared with commonly used kernel functions (polynomial kernel and Radial Basis Function ctc.).Moreover, the I_egendre kernel has one parameter which is only chosen from natural number, thus parameter optimization is facilitated greatly. |
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| Keywords: | Support vector machine Kernel function Model selection |
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