PARSIMONIOUS DYNAMICAL RECONSTRUCTION

被引：35

作者：

Mees, Alistair ^{[1
]}

机构：

[1] Univ Western Australia, Dept Math, Nedlands, WA 6009, Australia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1993年 / 3卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1142/S021812749300057X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Many nonlinear deterministic models of time series have large numbers of parameters and tend to overfit in the presence of noise. This paper shows how to generate radial basis function models with small numbers of parameters for a given quality of fit. It also addresses questions of how to select subsets from candidate sets of centers for radial basis function models, and what kinds of basis functions to use, as well as how large a model is appropriate.

引用

页码：669 / 675

页数：7

共 20 条

[11] Mees A. I, 1992, PHYSICA D UNPUB
[12] Mees A. I., 1992, DYNAMICAL SYST UNPUB
[13] DEVICE MODELING BY RADIAL BASIS FUNCTIONS
MEES, AI
JACKSON, MF
CHUA, LO
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (01): : 19 - 27
[14] DYNAMICAL SYSTEMS AND TESSELATIONS: DETECTING DETERMINISM IN DATA
Mees, Alistair I.
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (04): : 777 - 794
[15] POWELL MJD, 1985, 1985NA12 CAMBR U DEP
[16] RISSANEN J, 1989, STOCHASTIC COMPLEXIT
[17] Smith L. A, 1992, PHYSICA D UNPUB
[18] NONLINEAR FORECASTING AS A WAY OF DISTINGUISHING CHAOS FROM MEASUREMENT ERROR IN TIME-SERIES
SUGIHARA, G
MAY, RM
[J]. NATURE, 1990, 344 (6268) : 734 - 741
[19] Tong H., 1990, NONLINEAR TIME SERIE, pxvi+564
[20] Watson D., 1992, COMP METHODS N UNPUB

← 1 2 →