| 一类新的支持向量机核函数——埃尔米特核函数 |
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| 引用本文： | 张瑞,高红,张立伟.一类新的支持向量机核函数——埃尔米特核函数[J].山西大学学报(自然科学版),2012,35(1):38-42. |
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| 作者姓名： | 张瑞 高红 张立伟 |
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| 作者单位： | 1. 山东理工大学理学院,山东淄博,255049
2. 华南理工大学计算机科学与工程学院,广东广州,510006 |
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| 基金项目： | 国家自然科学基金(60975035);教育部博士点基金(20091401110003);山东理工大学博士基金(4041-410002) |
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| 摘 要： | 基于埃尔米特正交多项式,文章提出了向量形式的广义埃尔米特多项式,并由此衍生出一类新的核函数——埃尔米特核函数.该类核函数最大的优势在于其参数仅在自然数中取值,能大大缩短参数优化时间.在鲁棒性与泛化性能方面,文章在双螺旋集和标准UCI数据集上与常用的核函数(多项式核、高斯径向基核等)做了对比试验.
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| 关 键 词： | 支持向量机 核函数 模型选择 |
A New Set of Hemite Kernel Functions for Support Vector Machine |
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| ZHANG Rui
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GAO Hong
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ZHANG Li-wei.A New Set of Hemite Kernel Functions for Support Vector Machine[J].Journal of Shanxi University (Natural Science Edition),2012,35(1):38-42. |
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| Authors: | ZHANG Rui GAO Hong ZHANG Li-wei |
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| Institution: | 1.School of Science,Shandong University of Technology,Zibo 255049,China; 2.School of Computer Science & Engineering,South China University of Technology,Guangzhou 510006,China) |
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| Abstract: | A new set of kernel functions were derived from the generalized Hemite polynomial which is put forth based on Hemite polynomial.Because the presented kernel has only one parameter choosed from natural number,the parameter optimization is facilitated greatly.The performance and robustness of the presented kernel and commonly used kernel(polynomial kernel and Radial Basis Function etc.) are investigated on bi-spiral benchmark data set as well as five data sets from the UCI benchmark repository. |
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| Keywords: | support vector machine kenel function model selection |
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