Computer Science ›› 2016, Vol. 43 ›› Issue (2): 98-100.doi: 10.11896/j.issn.1002-137X.2016.02.022

Previous Articles     Next Articles

Homotopy Support Vector Machine

JIANG Jin-chao and ZHANG Rui   

  • Online:2018-12-01 Published:2018-12-01

Abstract: As a novel artificial intelligence technology,support vector machines (SVM) has been more and more widely used in various fields.Homotopy regularization method is a regularization method emerging in recent years,which has been widely used in the inverse problem.This paper applied the ideas of the homotopy regularization to the support vector machine,and established a new SVM.Meanwhile,we modified the most used Gaussian kernel.Compared with conventional regularization method,the biggest advantage of the new model is that the regularization parameter values range changes from infinite interval to a limited range (0,1),thus it greatly shortens the time of regularization parameter optimization.

Key words: Support vector machine,Homotopy regularization,Gaussian kernel

[1] Vapnik V.Statictical learning Theory[M].New York:Wiley,1998
[2] Zhang Rui,Ma Yi-chen.Kernel Methods for Pattern Analysis[D].Xi’an:Xi’an Jiaotong University,2009(in Chinese) 张瑞,马逸尘.模式分析的核方法[D].西安:西安交通大学,2009
[3] Zhang R,Wang W J,Ma Y C.Least square transduction supportvector machine[J].Neural Processing Letters,2009,29(2):133-142
[4] Ye N,Sun R,Liu Y,et al.Support vector machine with orthogonal Chebyshev kernel[C]∥Proceedings of the 18th international conference on Pattern Recognition.2006
[5] Sedat O,Chen C H,Hakan A C.A set of new Chebyshev kernel function for support vector machine pattern classification[J].Pattern Recognition,2011,44(7):1435-1447
[6] Zhang R,Wang W J.Facilitating the Applications of Support machine by Using a new kernel[J].Expert Systems with Application,2011,38:14225-14230
[7] Zhang Rui,Gao Hong,Zhang Li-wei.A New Set of Hemite Kernel Functions for Support Vector Machine[J].Journal of Shanxi University(Natural Science Edition),2012,5(1):38-42(in Chinese) 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
[8] Zhang Rui,Wang Wen-jian,Zhang Ya-dan,et al.Legendre Kernel Function for Support Vector Classification[J].Computer Science,2012,9(7):222-224(in Chinese) 张瑞,王文剑,张亚丹,等.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
[9] Zhang Rui,Wang Wen-jian,Wang Jia-qi,et al.Laguerre Kernel Functions for Support Vector Classification[J].Computer Engineering and Applications,2012,8(36):50-53(in Chinese) 张瑞,王文剑,王嘉琦,等.一类新的基于拉盖尔正交多项式的核函数[J].计算机工程与应用,2012,8(36):50-53
[10] Zhang Rui,Yang Xiao,Tan Xiu-lin.New SVM Kernel Function Based on Gegenbauer Polynomial[J].Journal of Shanxi University(Natural Science Edition),2013,6(1):30-33(in Chinese) 张瑞,杨晓,谭秀林.基于盖根鲍尔多项式的SVM核函数[J].山西大学学报(自然科学版),2013,6(1):30-33
[11] Liao Shi-jun.Beyond the Perturbation:the basic idea and application of the Homotopy analysis method [J].Journal of Mechanics,2008,8(1):1-34
[12] Agarwal R P,O’Regan D.Homotopy and existence of solutions for the nonlinear equation Lx∈Nx[J].Nonlinear Analysis,2001,4(4):537-544
[13] Soriano J M.On the existence of zero points of a continuous founction[J].Acta Mathematica Scientia,2002,2(2):171-177

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!