期刊文献+

一种求解分类问题的优化算法 被引量:3

An algorithm of nondifferentiable optimization for linear classification
下载PDF
导出
摘要 给出了一类线性分类算法的数学描述,在求解分类问题的平分最近点法与最大间隔法的基础上,将线性分类问题转化为一类无约束不可微优化问题。设计了一种求解该问题的不可微优化算法,并证明了算法的收敛性。初步的数值例子表明该算法是有效的,且具有简单实用的特点。 The linear classification problems are converted to a class of unconstrained optimization problem. An algorithm of nondifferentiable optimization for solving linear separation problem is given, and some results of convergence are proven. Some numerical examples show that the algorithm is simple and effective.
作者 王雪峰
出处 《西安科技大学学报》 CAS 北大核心 2008年第4期816-819,共4页 Journal of Xi’an University of Science and Technology
基金 国家自然科学基金项目(60374063)
关键词 线性分类 不可微优化 算法 linear classification nondifferentiable optimization algorithm
  • 相关文献

参考文献8

  • 1Mangasarian O L. Linear and nonlinear separation of patterns by linear programming[ J]. Operation Research, 1965,13:444.
  • 2Mangasarian O L. Multi-surface method of pattern separation[ J]. IEEE Transaction on Information Theory, 1968, IT - 14:801.
  • 3Cortes C, Vapnik V . Support vector networks [ J ]. Machine Learning, 1995,20:273 - 297.
  • 4Cristianini N, Shawe-Taylor J. An introduction to support vector machines and other kernelbased learning methods[ M ]. Cambridge : Cambridge University Press ,2000.
  • 5Vapnik V. Statistical learning theory[ M ]. Ne York : Wiley, 1998.
  • 6Burges C J C. A tutorial on support vector machines for pattern recognition[ J]. Data mining Knowledge Discovery, 1995,22 (2) : 121 - 167.
  • 7王雪峰.一类无约束不可微规划算法[J].西安科技学院学报,2001,21(4):402-404. 被引量:1
  • 8Clarke F H. Nonsmooth analysis and optimization[ M]. New York :Wiley, 1953.

二级参考文献3

  • 1Kiwiel K C A. Method of Linearization for Linea Constrained Noonvexx Nonsmooth Minization[J]. Math. Prog, 1986,3(4) : 175- 187.
  • 2Shor N Z. Minimization Methods for Nondifferentiable Function[ M]. New York: Springer- Verlag, 1979. 231-244.
  • 3Kiwiel K C. An algorithm for linearly oonstrained oonvex nondifferentiable minimization problems [J ]. Journal of Mathematical Analysis and Applications, 1985,10 (5):111 - 119.

同被引文献8

  • 1余长君,姚奕荣,张连生.在全空间上求全局最优解的填充函数方法[J].运筹学学报,2007,11(2):107-112. 被引量:4
  • 2SHOR N Z. Minimization Methods for Nondiffenreatiable Function [ M ]. New York: Springer-Verlag, 1979, 231- 244.
  • 3Barhen J, Protoporescu V, Trust D R. A deterministic algorithm for global optimization[ J ]. Science, 1997,276:1 094 - 1 097.
  • 4GE Ren-pu. The theory of the filled function method for finding a global minimizer of a nonlinear constraints problem [ J ]. Journal of Computational Mathematics, 1987,5 ( 1 ) : 1 - 9.
  • 5LIU X. Several filled functions with mitigators[ J]. Applied Mathematics and Computing ,2002,133:375 -387.
  • 6WANG Lian-xiang, ZHOU Guang-bin. A new filled function for unconstrained global optimization [ J ]. Applied Mathematics and Computation ,2006,174:419 - 429.
  • 7ZHU Wei-xin. A class of filled functions for box constrained continuous global optimization[ J ]. J. Glob. Optim,2005,169: 129 - 145.
  • 8袁亚湘,孙文瑜.最优化理论与方法.北京:科学出版社,2005.

引证文献3

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部