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一阶多项式光滑的支持向量分类机的一般模型 被引量：5

General formulation of 1st-order polynomial smooth support vector machines for classification
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摘要 研究了在一个包含原点的一般区间导出了一类光滑正号函数的一阶函数,还研究了用此类函数对支持向量机作光滑处理的问题,提出了一阶多项式光滑的支持向量机的一般模型1SSVM(1st—order Smooth Support Vector Machine)。理论分析表明,文献[2]中所用的一阶光滑函数是此类函数的一个特例,其提出的一阶光滑的支持向量机也是模型1SSVM的一个特例,从而在理论上解决了一阶多项式光滑的支持向量机的一般模型问题。 This paper derived a class of 1st-order smooth polynomial functions that are able to approximate the plus function over a common interval around the origin.With such functions,a general model,1st--order polynomial Smooth Support Vector Machine（1SSVM） is developed.Theoretical analysis shows that the 1st-order smooth function used in [2] belongs to this class and the resultant smooth SVM is also a special case of 1SSVM.Hence this paper theoretically solves the general formulation of 1st-order polynomial smooth SVMs.
作者 熊金志 李广明 高晓雷 牛熠
机构地区 东莞理工学院软件学院
出处 《计算机工程与应用》 CSCD 北大核心 2007年第10期76-78,共3页 Computer Engineering and Applications
基金 国家自然科学基金(the National Natural Science Foundation of China under Grant No.60573029) 广东省科技公关计划(the Key Tech-nologies R&D Program of Guangdong Province China under Grant No.06301204)
关键词 分类 支持向量机 数据挖掘 光滑 classification support ector machine data mining smoothing
分类号 TP301 [自动化与计算机技术—计算机系统结构]
  • 相关文献

参考文献9

  • 1Vapnik V N.The nature of statistical learning theory[M].2nd ed.New York:Springer,2000.
  • 2袁玉波,严杰,徐成贤.多项式光滑的支撑向量机[J].计算机学报,2005,28(1):9-17. 被引量：81
  • 3Platt J.Sequential minimal optimization:a fast algorithm for training support vector machines[C]//Scholkopf B.Advances in Kernel Methods-Support Vector Learning,Cambridge,MA:MIT Press,1999:185-208.
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  • 6Xiong Jin-zhi,Hu Tian-ming,Li Guang-ming,et al.A comparative study of three smooth SVM classifiers[C]//Proceedings of the Sixth World Congress on Intelligent Control Automation,Dalian,2006:5962-5966.
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  • 8Chen Chun-hui,Mangasarian O L.A class of smoothing functions for nonlinear and mixed complementarity problems[J].Computational Optimization and Application,1996,5(1):97-138.
  • 9Lee Y J,Mangasarian O L.SSVM:a smooth support vector machine for classification[J].Computational Optimization and Applications,2001,22(1):5-21.

二级参考文献1

共引文献80

同被引文献27

  • 1袁玉波,严杰,徐成贤.多项式光滑的支撑向量机[J].计算机学报,2005,28(1):9-17. 被引量：81
  • 2熊金志,胡金莲,袁华强,胡天明,李广明.一类光滑支持向量机新函数的研究[J].电子学报,2007,35(2):366-370. 被引量：42
  • 3Lee Y J,Mangasarian O L.SSVM:a smooth support vector machine for classification[J].Computational Optimization and Applications,2001, 22( 1):5-21.
  • 4Chen Chun-hui,Mangasarian O L.A class of smoothing functions for nonlinear and mixed complementarity problems[J].Computational Optimization and Application, 1996,5 : 97-138.
  • 5Mangasarian O L,Musicant D R.Lagranigian support vector machines[J].Jurnal of Machine Learning Research,2001,22( 1 ): 161-177.
  • 6Fung G,Mangasarian O L.Proximal support vector machine classifiers[C]//Proceedings of the First International Conference on Knowledge Discovery and Data Mining,San Francisco ,2001:77-86.
  • 7Lee Y J, Mangasarian O L. SSVM:a smooth support vector machine for classification [ J ]. Computational Optimization and Applications,2001,22( 1 ) :5 -21.
  • 8Chen Chun-hui, Mangasarian O L. A class of smoothing functions for nonlinear and mixed complementaritry problems [ J ]. Computational Optimization and Application, 1996,5:97 - 138.
  • 9Mangasarian O L, Musicant D R. Lagrangian support vector machines [ J ]. Joumal of Machine Learning Research, 2001,22( 1 ) :161 - 177.
  • 10Fung G, Mangasarian O L. Proximal support vector machine classifiers [ C ]//Proceedings of the First International Conference on Knowledge Discovery and Data Mining. San Francisco : [ s. n. ] ,2001:77 - 86.

引证文献5

二级引证文献10

计算机工程与应用
2007年 第10期

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