Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms

Radial Basis Function Neural Network (RBFNN) ensembles have long suffered from non-efficient training, where incorrect parameter settings can be computationally disastrous. This paper examines different evolutionary algorithms for training the Symbolic Radial Basis Function Neural Network (SRBFNN)...

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Main Authors: Alzaeemi, Shehab Abdulhabib, Tay, Kim Gaik, Huong, Audrey, Sathasivam, Saratha, Majahar Ali, Majid Khan
Format: Article
Language:en
Published: Tech Science Press 2023
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Online Access:http://eprints.uthm.edu.my/11654/2/J16174_ee1fefba9e830abb0e36ae31d95d9997.pdf
http://eprints.uthm.edu.my/11654/
https://doi.org/10.32604/csse.2023.038912
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author Alzaeemi, Shehab Abdulhabib
Tay, Kim Gaik
Huong, Audrey
Sathasivam, Saratha
Majahar Ali, Majid Khan
author_facet Alzaeemi, Shehab Abdulhabib
Tay, Kim Gaik
Huong, Audrey
Sathasivam, Saratha
Majahar Ali, Majid Khan
author_sort Alzaeemi, Shehab Abdulhabib
building UTHM Library
collection Institutional Repository
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
continent Asia
country Malaysia
description Radial Basis Function Neural Network (RBFNN) ensembles have long suffered from non-efficient training, where incorrect parameter settings can be computationally disastrous. This paper examines different evolutionary algorithms for training the Symbolic Radial Basis Function Neural Network (SRBFNN) through the behavior’s integration of satisfiability programming. Inspired by evolutionary algorithms, which can iteratively find the nearoptimal solution, different Evolutionary Algorithms (EAs) were designed to optimize the producer output weight of the SRBFNN that corresponds to the embedded logic programming 2Satisfiability representation (SRBFNN2SAT). The SRBFNN’s objective function that corresponds to Satisfiability logic programming can be minimized by different algorithms, including Genetic Algorithm (GA), Evolution Strategy Algorithm (ES), Differential Evolution Algorithm (DE), and Evolutionary Programming Algorithm (EP). Each of these methods is presented in the steps in the flowchart form which can be used for its straightforward implementation in any programming language. With the use of SRBFNN-2SAT, a training method based on these algorithms has been presented, then training has been compared among algorithms, which were applied in Microsoft Visual C++ software using multiple metrics of performance, including Mean Absolute Relative Error (MARE), Root Mean Square Error (RMSE), Mean Absolute Percentage Error (MAPE), Mean Bias Error (MBE), Systematic Error (SD), Schwarz Bayesian Criterion (SBC), and Central Process Unit time (CPU time). Based on the results, the EP algorithm achieved a higher training rate and simple structure compared with the rest of the algorithms. It has been confirmed that the EP algorithm is quite effective in training and obtaining the best output weight, accompanied by the slightest iteration error, which minimizes the objective function of SRBFNN-2SAT.
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spelling my.uthm.eprints-116542024-10-29T03:57:26Z http://eprints.uthm.edu.my/11654/ Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms Alzaeemi, Shehab Abdulhabib Tay, Kim Gaik Huong, Audrey Sathasivam, Saratha Majahar Ali, Majid Khan QA71-90 Instruments and machines Radial Basis Function Neural Network (RBFNN) ensembles have long suffered from non-efficient training, where incorrect parameter settings can be computationally disastrous. This paper examines different evolutionary algorithms for training the Symbolic Radial Basis Function Neural Network (SRBFNN) through the behavior’s integration of satisfiability programming. Inspired by evolutionary algorithms, which can iteratively find the nearoptimal solution, different Evolutionary Algorithms (EAs) were designed to optimize the producer output weight of the SRBFNN that corresponds to the embedded logic programming 2Satisfiability representation (SRBFNN2SAT). The SRBFNN’s objective function that corresponds to Satisfiability logic programming can be minimized by different algorithms, including Genetic Algorithm (GA), Evolution Strategy Algorithm (ES), Differential Evolution Algorithm (DE), and Evolutionary Programming Algorithm (EP). Each of these methods is presented in the steps in the flowchart form which can be used for its straightforward implementation in any programming language. With the use of SRBFNN-2SAT, a training method based on these algorithms has been presented, then training has been compared among algorithms, which were applied in Microsoft Visual C++ software using multiple metrics of performance, including Mean Absolute Relative Error (MARE), Root Mean Square Error (RMSE), Mean Absolute Percentage Error (MAPE), Mean Bias Error (MBE), Systematic Error (SD), Schwarz Bayesian Criterion (SBC), and Central Process Unit time (CPU time). Based on the results, the EP algorithm achieved a higher training rate and simple structure compared with the rest of the algorithms. It has been confirmed that the EP algorithm is quite effective in training and obtaining the best output weight, accompanied by the slightest iteration error, which minimizes the objective function of SRBFNN-2SAT. Tech Science Press 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/11654/2/J16174_ee1fefba9e830abb0e36ae31d95d9997.pdf Alzaeemi, Shehab Abdulhabib and Tay, Kim Gaik and Huong, Audrey and Sathasivam, Saratha and Majahar Ali, Majid Khan (2023) Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms. Computer Systems Science and Engineering, 47 (1). pp. 1163-1184. ISSN 1163-1184 https://doi.org/10.32604/csse.2023.038912
spellingShingle QA71-90 Instruments and machines
Alzaeemi, Shehab Abdulhabib
Tay, Kim Gaik
Huong, Audrey
Sathasivam, Saratha
Majahar Ali, Majid Khan
Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms
title Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms
title_full Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms
title_fullStr Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms
title_full_unstemmed Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms
title_short Evolution Performance of Symbolic Radial Basis Function Neural Network by Using Evolutionary Algorithms
title_sort evolution performance of symbolic radial basis function neural network by using evolutionary algorithms
topic QA71-90 Instruments and machines
url http://eprints.uthm.edu.my/11654/2/J16174_ee1fefba9e830abb0e36ae31d95d9997.pdf
http://eprints.uthm.edu.my/11654/
https://doi.org/10.32604/csse.2023.038912
url_provider http://eprints.uthm.edu.my/