A method of truncated codifferential with application to some problems of cluster analysis

被引:29
作者
Demyanov, VF [1 ]
Bagirov, AM
Rubinov, AM
机构
[1] St Petersburg State Univ, Dept Appl Math, St Petersburg, Russia
[2] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Australia
关键词
subdifferential; quasidifferential; codifferential; truncated codifferential; cluster analysis;
D O I
10.1023/A:1014075113874
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
A method of truncated codifferential descent for minimizing continuously codifferentiable functions is suggested. The convergence of the method is studied. Results of numerical experiments are presented. Application of the suggested method for the solution of some problems of cluster analysis are discussed. In numerical experiments Wisconsin Diagnostic Breast Cancer database was used.
引用
收藏
页码:63 / 80
页数:18
相关论文
共 23 条
[1]   Cutting angle methods in global optimization [J].
Andramonov, M ;
Rubinov, A ;
Glover, B .
APPLIED MATHEMATICS LETTERS, 1999, 12 (03) :95-100
[2]  
[Anonymous], 1990, FDN NONSMOOTH ANAL Q
[4]   Global minimization of increasing positively homogeneous functions over the unit simplex [J].
Bagirov, AM ;
Rubinov, AM .
ANNALS OF OPERATIONS RESEARCH, 2000, 98 (1-4) :171-187
[5]  
BAGIROV AM, 2000, NONCONVEX OPTIMIZATI, V43, P33
[6]  
BAGIROV AM, 1999, 4599 U BALL
[7]  
Demyanov V. F., 1996, QUASIDIFFERENTIABILI
[8]  
DEMYANOV VF, 1986, MATH PROGRAM STUD, V29, P74, DOI 10.1007/BFb0121138
[9]  
Demyanov VF., 1995, CONSTRUCTIVE NONSMOO
[10]  
Hiriart-Urruty J. B., 1993, CONVEX ANAL MINIMIZA