Multi-objective evolutionary optimization of polynomial neural networks for modelling and prediction of explosive cutting process |
| |
| Authors: | A. Jamali N. Nariman-zadeh A. Darvizeh A. Masoumi S. Hamrang |
| |
| Affiliation: | 1. Department of Mechanical Engineering, Faculty of Engineering, The University of Guilan, P.O. Box 3756, Rasht, IRAN;2. Intelligent-based Experimental Mechanics Center of Excellence, School of Mechanincal Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran;3. Faculty of Mechanical Engineering, University of Tehran, Tehran, Iran;1. Key Laboratory of Magnetic Materials and Devices, Ningbo Institute of Materials Technology & Engineering, Chinese Academy of Sciences, Ningbo 315201, Zhejiang, China;2. Zhejiang Province Key Laboratory of Magnetic Materials and Application Technology, Ningbo Institute of Materials Technology & Engineering, Chinese Academy of Sciences, Ningbo 315201, Zhejiang, China;1. Department of Mechanical Engineering, University of Guilan, Rasht, Iran;2. Department of Electrical Engineering, University of Guilan, Rasht, Iran;1. Department of Nuclear Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;2. Department of Energy Engineering, Sharif University of Technology, Tehran, Iran;1. Department of Chemical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran;2. Department of Polymer Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran |
| |
| Abstract: | In this paper, evolutionary algorithms (EAs) are deployed for multi-objective Pareto optimal design of group method of data handling (GMDH)-type neural networks which have been used for modelling an explosive cutting process using some input–output experimental data. In this way, multi-objective EAs (non-dominated sorting genetic algorithm, NSGA-II) with a new diversity-preserving mechanism are used for Pareto optimization of such GMDH-type neural networks. The important conflicting objectives of GMDH-type neural networks that are considered in this work are, namely, training error (TE), prediction error (PE), and number of neurons (N) of such neural networks. Different pairs of theses objective functions are selected for 2-objective optimization processes. Therefore, optimal Pareto fronts of such models are obtained in each case which exhibit the trade-off between the corresponding pair of conflicting objectives and, thus, provide different non-dominated optimal choices of GMDH-type neural networks models for explosive cutting process. Moreover, all the three objectives are considered in a 3-objective optimization process, which consequently leads to some more non-dominated choices of GMDH-type models representing the trade-offs among the training error, prediction error, and number of neurons (complexity of network), simultaneously. The overlay graphs of these Pareto fronts also reveal that the 3-objective results include those of the 2-objective results and, thus, provide more optimal choices for the multi-objective design of GMDH-type neural networks in terms of minimum training error, minimum prediction error, and minimum complexity. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
