Variable selection in nonlinear non-parametric system\\ identification

Erwei Bai; Kang Li; Wenxiao Zhao; Biqiang Mu; Weixing Zheng

doi:10.1360/n012016-00002

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$Variable selection in nonlinear non-parametric system\\ identification$

Journal article

Open access

Peer reviewed

Variable selection in nonlinear non-parametric system\\ identification

Erwei Bai, Kang Li, Wenxiao Zhao, Biqiang Mu and Weixing Zheng

SCIENTIA SINICA Mathematica, Vol.46(10), pp.1383-1400

01/01/2016

DOI: 10.1360/n012016-00002

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Abstract

This paper considers a problem of variable selection for a high dimensional nonlinear non-parametric system. Different algorithms are proposed for cases when the number of observed data increasing to infinity, being finite, and the nonlinear system being additive. The theoretical properties of the proposed algorithms are obtained, which are validated by simulation examples. The algorithms find the relationship between the input and output variables, and further the inter-dependence of input variables so that the importance of the input variables can be established.

Mathematics

Control theory

Feature selection

Infinity

Nonlinear system

Nonparametric statistics

System identification

Details

Title: Subtitle: Variable selection in nonlinear non-parametric system\\ identification
Creators: Erwei Bai - University of Iowa
Kang Li - Queen's University Belfast
Wenxiao Zhao
Biqiang Mu
Weixing Zheng - Western Sydney University
Resource Type: Journal article
Publication Details: SCIENTIA SINICA Mathematica, Vol.46(10), pp.1383-1400
Publisher: Science China Press., Co. Ltd
DOI: 10.1360/n012016-00002
ISSN: 1674-7216
Language: English
Date published: 01/01/2016
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984573818202771

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