| 一类新样条光滑支持向量机 |
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| 引用本文： | 吴青,赵雄.一类新样条光滑支持向量机[J].西安邮电学院学报,2013(6):68-74. |
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| 作者姓名： | 吴青 赵雄 |
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| 作者单位： | [1]西安邮电大学自动化学院,陕西西安710121 [2]西安邮电大学通信与信息工程学院,陕西西安710121 |
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| 基金项目： | 国家自然科学基金资助项目（61100165,61100231）;陕西省自然科学基金资助项目（2010JQ8004,2012JQ8044）;陕西省教育厅自然科学基金资助项目（2013JK1096,2013JK1023） |
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| 摘 要： | 对光滑函数的逼近性能进行研究。为了更好地逼近支持向量机模型中的加号函数，提出两个新的三阶样条光滑函数。用新的光滑函数替代支持向量机模型中的加号函数，得到一种新的光滑支持向量机模型。由于新模型具有二阶光滑性，可用Newton—Armijo算法快速求解，数据实验表明新模型具有比较优越的分类性能。
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| 关 键 词： | 光滑函数 光滑支持向量机 Newton-Armijo算法 分类性能 |
A new spline smooth support vector machine |
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| WU Qing,ZHAO Xiong.A new spline smooth support vector machine[J].Journal of Xi'an Institute of Posts and Telecommunications,2013(6):68-74. |
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| Authors: | WU Qing ZHAO Xiong |
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| Affiliation: | 2 (1. School of Automation, Xian University of Posts and Telecommunications, Xi＇an 710121, China 2. School of Communication and Inforrmtion Engineering, Xi＇an University of Posts and Telecommunications, Xi＇an 710121, China) |
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| Abstract: | In this paper, approximation performance of smooth function is studied. Two new three-order spline smooth functions are proposed to smooth the plus function in support vector machine （SVM） model in order to improve approximate precision. A new three order spline smooth support vector machine （NTSSVM） is obtained through the replacement of the plus func- tion in SVM with the new smooth functions. NTSSVM is second-order smooth and thus it can be solved by the fast Newton-Armijo algorithm. Numerical results demonstrate that NTSSVM has the better classification capability. |
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| Keywords: | smooth function smooth support vector machines Newton-Armijo algorithm classi-fication capability |
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