THE CONVERGENT METHOD OF CONSTRUCTING POLYNOMIAL DISCRIMINANT FUNCTIONS FOR PATTERN-RECOGNITION

被引:2
作者
FLASINSKI, M [1 ]
LEWICKI, G [1 ]
机构
[1] JAGIELLONIAN UNIV, INST MATH, PL-30059 KRAKOW, POLAND
关键词
DISCRIMINANT FUNCTIONS; UNIFORM CONVERGENCE; NONLINEARLY SEPARABLE SETS;
D O I
10.1016/0031-3203(91)90098-P
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The methodology of defining polynomial discriminant functions in a constructive way is presented. Discriminant functions should be defined in such a way that they fulfil assumptions of Bernstein's theorem. It allows us both to prove a uniform convergence of the method and to estimate a rate of convergence of the interpolating process.
引用
收藏
页码:1009 / 1015
页数:7
相关论文
共 17 条
[1]  
AISERMAN MA, 1970, POTENTIAL FUNCTION M
[2]  
BASHKIROV DA, 1964, AUTOMAT REM CONTR, V25, P629
[3]  
Bernstein S. N., 1952, COLLECTED WORKS, V1
[4]   PROOF OF THE CONJECTURES OF BERNSTEIN AND ERDOS CONCERNING THE OPTIMAL NODES FOR POLYNOMIAL INTERPOLATION [J].
BOOR, CD ;
PINKUS, A .
JOURNAL OF APPROXIMATION THEORY, 1978, 24 (04) :289-303
[5]  
CHENEY EW, 1970, 1969 P S LANC LOND, P261
[6]  
CHENEY EW, 1985, LECTURE NOTES MATH, V1169
[7]  
COVER TM, 1980, TOPICS STATISTICAL P
[8]  
FU KS, 1980, DIGITAL PATTERN RECO
[9]   AN ALGORITHM FOR LINEAR INEQUALITIES AND ITS APPLICATIONS [J].
HO, YC ;
KASHYAP, RL .
IEEE TRANSACTIONS ON ELECTRONIC COMPUTERS, 1965, EC14 (05) :683-&
[10]   CHARACTERIZATION OF THE LAGRANGE INTERPOLATING PROJECTION WITH MINIMAL TCHEBYCHEFF NORM [J].
KILGORE, TA .
JOURNAL OF APPROXIMATION THEORY, 1978, 24 (04) :273-288