Model structure determination in neural network models

被引:33
作者
Henrique, HM
Lima, EL
Seborg, DE
机构
[1] Univ Fed Uberlandia, Dept Engn Quim, BR-38400100 Uberlandia, MG, Brazil
[2] Univ Fed Rio de Janeiro, COPPE, Programa Engn Quim, Ctr Tecnol, BR-21945970 Rio De Janeiro, Brazil
[3] Univ Calif Santa Barbara, Dept Chem Engn, Santa Barbara, CA 93106 USA
关键词
neural networks; pruning of neural networks; model structure determination; system identification; dynamic systems; nonlinear modeling;
D O I
10.1016/S0009-2509(00)00170-6
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Feedforward neural networks (FNN) have been used intensively for the identification and control of chemical engineering processes. However, there is no efficient model structure determination methodology for a particular mapping application. This has resulted in a tendency to use networks that are much larger than required. In this paper a new procedure for model structure determination in feedforward neural networks is proposed. This procedure is based on network pruning using the orthogonal least-squares technique to determine insignificant or redundant synaptic weights, biases, hidden nodes and network inputs. The advantages of this approach are discussed and illustrated using simulated and experimental data. The results show that the orthogonal least-squares technique is quite efficient in determining the significant elements on the neural network models. The results also show the importance of pruning procedures to identify parsimonious FNN models. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:5457 / 5469
页数:13
相关论文
共 21 条
[1]   DETERMINING MODEL STRUCTURE FOR NEURAL MODELS BY NETWORK STRIPPING [J].
BHAT, NV ;
MCAVOY, TJ .
COMPUTERS & CHEMICAL ENGINEERING, 1992, 16 (04) :271-281
[2]   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
[3]   Determination of model order for NARX models directly from input-output data [J].
Bomberger, JD ;
Seborg, DE .
JOURNAL OF PROCESS CONTROL, 1998, 8 (5-6) :459-468
[4]  
Cybenko G., 1989, Mathematics of Control, Signals, and Systems, V2, P303, DOI 10.1007/BF02551274
[5]   DYNAMIC MODELING AND REACTION INVARIANT CONTROL OF PH [J].
GUSTAFSSON, TK ;
WALLER, KV .
CHEMICAL ENGINEERING SCIENCE, 1983, 38 (03) :389-398
[6]  
HAGIWARA M, 1990, P IJCNN 1990, P1625
[7]  
HALL RC, 1989, AMER CONTR CONF CONF, P1822
[8]  
HASSIBI B, 1992, 9235 RICOH CAL RES C
[9]  
HINDMARSH AC, 1980, ACM SIGNUM NEWSLETTE, V15, P10, DOI DOI 10.1145/1218052.1218054
[10]   MULTILAYER FEEDFORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS [J].
HORNIK, K ;
STINCHCOMBE, M ;
WHITE, H .
NEURAL NETWORKS, 1989, 2 (05) :359-366