On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams

This study aims to predict the shear strength of reinforced concrete (RC) deep beams based on artificial neural network (ANN) using four training algorithms, namely, Levenberg–Marquardt (ANN-LM), quasi-Newton method (ANN-QN), conjugate gradient (ANN-CG), and gradient descent (ANN-GD). A database con...

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Main Authors: Thuy-Anh Nguyen, Hai-Bang Ly, Hai-Van Thi Mai, Van Quan Tran
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5548988
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spelling doaj-485a8b09b8cb485aa8db51e29a02f0192021-06-07T02:14:05ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/5548988On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep BeamsThuy-Anh Nguyen0Hai-Bang Ly1Hai-Van Thi Mai2Van Quan Tran3University of Transport TechnologyUniversity of Transport TechnologyUniversity of Transport TechnologyUniversity of Transport TechnologyThis study aims to predict the shear strength of reinforced concrete (RC) deep beams based on artificial neural network (ANN) using four training algorithms, namely, Levenberg–Marquardt (ANN-LM), quasi-Newton method (ANN-QN), conjugate gradient (ANN-CG), and gradient descent (ANN-GD). A database containing 106 results of RC deep beam shear strength tests is collected and used to investigate the performance of the four proposed algorithms. The ANN training phase uses 70% of data, randomly taken from the collected dataset, whereas the remaining 30% of data are used for the algorithms’ evaluation process. The ANN structure consists of an input layer with 9 neurons corresponding to 9 input parameters, a hidden layer of 10 neurons, and an output layer with 1 neuron representing the shear strength of RC deep beams. The performance evaluation of the models is performed using statistical criteria, including the correlation coefficient (R), root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE). The results show that the ANN-CG model has the best prediction performance with R = 0.992, RMSE = 14.02, MAE = 14.24, and MAPE = 6.84. The results of this study show that the ANN-CG model can accurately predict the shear strength of RC deep beams, representing a promising and useful alternative design solution for structural engineers.http://dx.doi.org/10.1155/2021/5548988
collection DOAJ
language English
format Article
sources DOAJ
author Thuy-Anh Nguyen
Hai-Bang Ly
Hai-Van Thi Mai
Van Quan Tran
spellingShingle Thuy-Anh Nguyen
Hai-Bang Ly
Hai-Van Thi Mai
Van Quan Tran
On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams
Complexity
author_facet Thuy-Anh Nguyen
Hai-Bang Ly
Hai-Van Thi Mai
Van Quan Tran
author_sort Thuy-Anh Nguyen
title On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams
title_short On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams
title_full On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams
title_fullStr On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams
title_full_unstemmed On the Training Algorithms for Artificial Neural Network in Predicting the Shear Strength of Deep Beams
title_sort on the training algorithms for artificial neural network in predicting the shear strength of deep beams
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description This study aims to predict the shear strength of reinforced concrete (RC) deep beams based on artificial neural network (ANN) using four training algorithms, namely, Levenberg–Marquardt (ANN-LM), quasi-Newton method (ANN-QN), conjugate gradient (ANN-CG), and gradient descent (ANN-GD). A database containing 106 results of RC deep beam shear strength tests is collected and used to investigate the performance of the four proposed algorithms. The ANN training phase uses 70% of data, randomly taken from the collected dataset, whereas the remaining 30% of data are used for the algorithms’ evaluation process. The ANN structure consists of an input layer with 9 neurons corresponding to 9 input parameters, a hidden layer of 10 neurons, and an output layer with 1 neuron representing the shear strength of RC deep beams. The performance evaluation of the models is performed using statistical criteria, including the correlation coefficient (R), root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE). The results show that the ANN-CG model has the best prediction performance with R = 0.992, RMSE = 14.02, MAE = 14.24, and MAPE = 6.84. The results of this study show that the ANN-CG model can accurately predict the shear strength of RC deep beams, representing a promising and useful alternative design solution for structural engineers.
url http://dx.doi.org/10.1155/2021/5548988
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