Local greedy approximation for nonlinear regression and neural network training

Authors
Jones, LK
Citation
Lk. Jones, Local greedy approximation for nonlinear regression and neural network training, ANN STATIST, 28(5), 2000, pp. 1379-1389
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ANNALS OF STATISTICS
ISSN journal
00905364 → ACNP
Volume
28
Issue
5
Year of publication
2000
Pages
1379 - 1389
Database
ISI
SICI code
0090-5364(200010)28:5<1379:LGAFNR>2.0.ZU;2-N
Abstract
A criterion for local estimation and approximation in nonlinear regression and neural network training is introduced and motivated. Nth-order greedy a pproximation for the regression (or target) function based on the criterion is shown to converge at rate O(1/N-1/2) in the nonsampling case.