Title
Multi-stage genetic programming: A new strategy to nonlinear system modeling
Abstract
This paper presents a new multi-stage genetic programming (MSGP) strategy for modeling nonlinear systems. The proposed strategy is based on incorporating the individual effect of predictor variables and the interactions among them to provide more accurate simulations. According to the MSGP strategy, an efficient formulation for a problem comprises different terms. In the first stage of the MSGP-based analysis, the output variable is formulated in terms of an influencing variable. Thereafter, the error between the actual and the predicted value is formulated in terms of a new variable. Finally, the interaction term is derived by formulating the difference between the actual values and the values predicted by the individually developed terms. The capabilities of MSGP are illustrated by applying it to the formulation of different complex engineering problems. The problems analyzed herein include the following: (i) simulation of pH neutralization process, (ii) prediction of surface roughness in end milling, and (iii) classification of soil liquefaction conditions. The validity of the proposed strategy is confirmed by applying the derived models to the parts of the experimental results that were not included in the analyses. Further, the external validation of the models is verified using several statistical criteria recommended by other researchers. The MSGP-based solutions are capable of effectively simulating the nonlinear behavior of the investigated systems. The results of MSGP are found to be more accurate than those of standard GP and artificial neural network-based models.
Year
DOI
Venue
2011
10.1016/j.ins.2011.07.026
Inf. Sci.
Keywords
Field
DocType
system modeling,accurate simulation,different complex engineering problem,msgp-based solution,new variable,new strategy,msgp-based analysis,output variable,msgp strategy,predictor variable,actual value,proposed strategy,multi-stage genetic programming,external validity,nonlinear system,formulation,surface roughness,artificial neural network
Mathematical optimization,Nonlinear system,Algorithm,Genetic programming,Artificial intelligence,End milling,Artificial neural network,Machine learning,Surface roughness,Mathematics
Journal
Volume
Issue
ISSN
181
23
0020-0255
Citations 
PageRank 
References 
59
3.06
23
Authors
2
Name
Order
Citations
PageRank
Amir Hossein Gandomi11836110.25
Amir Hossein Alavi2101645.59