Model term selection for spatio-temporal system identification using mutual information

被引:13
作者
Wang, Shu [1 ]
Wei, Hua-Liang [1 ]
Coca, Daniel [1 ]
Billings, Stephen A. [1 ]
机构
[1] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England
基金
欧洲研究理事会; 英国工程与自然科学研究理事会;
关键词
spatio-temporal system identification; orthogonal forward regression; mutual information; model length determination; NONLINEAR MODELS;
D O I
10.1080/00207721.2011.600468
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new mutual information based algorithm is introduced for term selection in spatio-temporal models. A generalised cross validation procedure is also introduced for model length determination and examples based on cellular automata, coupled map lattice and partial differential equations are described.
引用
收藏
页码:223 / 231
页数:9
相关论文
共 26 条
[1]   VALIDATING IDENTIFIED NONLINEAR MODELS WITH CHAOTIC DYNAMICS [J].
AGUIRRE, LA ;
BILLINGS, SA .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (01) :109-125
[2]   DYNAMICAL EFFECTS OF OVERPARAMETRIZATION IN NONLINEAR MODELS [J].
AGUIRRE, LA ;
BILLINGS, SA .
PHYSICA D, 1995, 80 (1-2) :26-40
[3]  
Alan M, 1990, SUBSET SELECTION REG
[4]   A cellular automaton model for tumour growth in inhomogeneous environment [J].
Alarcón, T ;
Byrne, HM ;
Maini, PK .
JOURNAL OF THEORETICAL BIOLOGY, 2003, 225 (02) :257-274
[5]   IDENTIFICATION OF MIMO NON-LINEAR SYSTEMS USING A FORWARD-REGRESSION ORTHOGONAL ESTIMATOR [J].
BILLINGS, SA ;
CHEN, S ;
KORENBERG, MJ .
INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (06) :2157-2189
[6]   Identification of the neighborhood and CA rules from spatio-temporal CA patterns [J].
Billings, SA ;
Yang, YX .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2003, 33 (02) :332-339
[7]   MODEL VALIDATION TESTS FOR MULTIVARIABLE NONLINEAR MODELS INCLUDING NEURAL NETWORKS [J].
BILLINGS, SA ;
ZHU, QM .
INTERNATIONAL JOURNAL OF CONTROL, 1995, 62 (04) :749-766
[8]   Sparse model identification using a forward orthogonal regression algorithm aided by mutual information [J].
Billings, Stephen A. ;
Wei, Hua-Liang .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :306-310
[9]   ORTHOGONAL LEAST-SQUARES METHODS AND THEIR APPLICATION TO NON-LINEAR SYSTEM-IDENTIFICATION [J].
CHEN, S ;
BILLINGS, SA ;
LUO, W .
INTERNATIONAL JOURNAL OF CONTROL, 1989, 50 (05) :1873-1896
[10]   Estimation of the information by an adaptive partitioning of the observation space [J].
Darbellay, GA ;
Vajda, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) :1315-1321