| 指数光滑支持向量分类机 |
| |
| 引用本文： | 吴青,王婉,王玲芝.指数光滑支持向量分类机[J].西安邮电学院学报,2014(4):9-14. |
| |
| 作者姓名： | 吴青 王婉 王玲芝 |
| |
| 作者单位： | [1]西安邮电大学自动化学院,陕西西安710121 [2]西安邮电大学计算机学院,陕西西安710121 [3]西安理工大学自动化与信息工程学院,陕西西安710048 |
| |
| 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（2012JQ8044,20LOJQ8004）;陕西省教育厅科研计划基金资助项目（2013JKl096） |
| |
| 摘 要： | 为了提高光滑支持向量机的分类性能,给出一种具有更强逼近正号函数能力的指数光滑函数,并利用光滑技术克服支持向量机模型的不可微性,得到指数光滑支持向量分类机(ESSVM)。通过理论分析,利用数学方法证明了指数光滑支持向量分类机的收敛性。数值实验表明,指数光滑支持向量机比多项式光滑支持向量机在分类性能上更有优势。
|
| 关 键 词： | 光滑支持向量机 支持向量机 指数光滑函数 BFGS算法 |
Exponential smooth support vector machines |
| |
| WU Qing,WANG Wan,WANG Lingzhi.Exponential smooth support vector machines[J].Journal of Xi'an Institute of Posts and Telecommunications,2014(4):9-14. |
| |
| Authors: | WU Qing WANG Wan WANG Lingzhi |
| |
| Affiliation: | 1. School of Automation, Xi＇an University of Posts and Telecommunications, Xi＇an 710121, China; 2. School of Computer Science and Technology, Xi＇an University of Posts and Telecommunications, Xi＇an 710121, China; 3. School of Automation and Information Engineering, Xi＇an University of Technology, Xi＇an 710048, China) |
| |
| Abstract: | In order to improve smooth support vector machine classified performance,exponential smoothing function is introduced.The ability of exponential smoothing function to approximate plus function is stronger than those of existing smooth functions.Smooth technology is used to o-vercome the non-differentiable of support vector machine model and an Exponential Smooth Sup-port Vector Machine （ESSVM）is obtained by using the new smooth function.Theoretical and rigorous mathematical analyses are given to prove the convergence of Exponential Smooth Sup-port Vector Machine.Numerical experiments show that the Exponential smooth support vector machine has advantage on the classification performance than polynomial smooth support vector machine. |
| |
| Keywords: | smooth support vector machine support vector machine exponential smooth func-tion BFGS algorithm |
| 本文献已被 维普 等数据库收录！ |
|
