Nonlinear approximation in finite-dimensional spaces

被引：13

作者：

DeVore, RA ^{[1
]}

Temlyakov, VN ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

JOURNAL OF COMPLEXITY | 1997年 / 13卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jcom.1997.0458

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

[No abstract available]

引用

页码：489 / 508

页数：20

共 10 条

[1] UNIVERSAL APPROXIMATION BOUNDS FOR SUPERPOSITIONS OF A SIGMOIDAL FUNCTION [J].

BARRON, AR .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (03) :930-945

[2] Adaptive greedy approximations [J].

Davis, G ;

Mallat, S ;

Avellaneda, M .

CONSTRUCTIVE APPROXIMATION, 1997, 13 (01) :57-98

[3] Some remarks on greedy algorithms [J].

DeVore, RA ;

Temlyakov, VN .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 5 (2-3) :173-187

[4]

DeVore RA., 1995, J FOURIER ANAL APPL, V2, P29, DOI [DOI 10.1007/S00041-001-4021-8, 10.1007/s00041-001-4021-8]

[5]

Donahue MJ, 1997, CONSTR APPROX, V13, P187

[6] A SIMPLE LEMMA ON GREEDY APPROXIMATION IN HILBERT-SPACE AND CONVERGENCE-RATES FOR PROJECTION PURSUIT REGRESSION AND NEURAL NETWORK TRAINING [J].

JONES, LK .

ANNALS OF STATISTICS, 1992, 20 (01) :608-613

[7] ON BEST M-TERM APPROXIMATIONS AND THE ENTROPY OF SETS IN THE SPACE L(1) [J].

KASHIN, BS ;

TEMLYAKOV, VN .

MATHEMATICAL NOTES, 1994, 56 (5-6) :1137-1157

[8]

Pisier G., 1989, VOLUME CONVEX BODIES

[9]

PISIER G., 1980, SEMINAIRE ANAL FONCT

[10] ENTROPY NUMBERS OF DIAGONAL OPERATORS BETWEEN SYMMETRIC BANACH-SPACES [J].

SCHUTT, C .

JOURNAL OF APPROXIMATION THEORY, 1984, 40 (02) :121-128

← 1 →