Abstract
This study implements hybrid machine learning models that utilize six commonly employed meta-heuristic algorithms to predict the compressive strength (CS) of manufactured sand concrete (MSC). Six hybrid artificial neural network (ANN) models were created utilizing multiple meta-heuristic algorithms of different groups. A sum of 275 records were used to determine concrete CS of MSC. The hybrid framework, combining ANN and firefly algorithm, i.e., ANN-FF, shows exceptional accuracy in predicting the CS. During the model development stage, the ANN-FF model achieved R2 = 0.9536 and RMSE = 0.0498. During testing phase, the values of these indices are R2 = 0.9276 and RMSE = 0.0656. The results of the sensitivity analysis demonstrate that the constructed ANN-FF framework effectively estimates the magnitude of the correlation between influential parameters and the CS. The evaluation of outcomes was examined using a variety of tools including Taylor diagram, error matrix, and OBJ criterion. In terms of objective criterion, ANN-FF achieved the best predictive precision. Based on the findings, the constructed ANN-FF can serve as a viable alternative for supporting engineers in civil engineering endeavours. The MATLAB developed ANN-FF model (constructed using eleven distinct influencing parameters) is also attached that can readily be implemented to predict the CS of MSC.
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Data Availability
The original dataset can be obtained from the study of Zhao et al. (2017). The reproduced dataset and the developed ANN-FF model are attached as supplementary materials.
References
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Appendix-A: MATLAB implementation of ANN-FF paradigm
Appendix-A: MATLAB implementation of ANN-FF paradigm
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Details of weights and biases
Input to hidden weights (11 × 10) | |||||||||
---|---|---|---|---|---|---|---|---|---|
1.0000 | 0.3553 | 0.3366 | − 0.5411 | 0.2290 | − 0.6848 | 0.5514 | − 0.4170 | − 0.9822 | − 0.0493 |
0.3922 | − 0.3509 | − 0.5327 | − 0.9995 | 0.2668 | − 0.9935 | − 0.4050 | 0.2108 | − 0.2185 | 0.5664 |
− 0.1372 | 0.2050 | 1.0000 | 0.9999 | − 1.0000 | 1.0000 | − 0.5024 | − 1.0000 | 0.5212 | − 0.8684 |
− 0.7664 | − 0.3723 | − 0.0982 | − 0.8612 | 0.7258 | 0.2180 | 0.9991 | 0.9811 | − 0.6478 | − 0.2477 |
− 0.4119 | − 0.7631 | − 0.6174 | 0.3896 | − 0.1982 | − 0.4955 | 0.2391 | − 0.2930 | 0.9995 | 0.1058 |
− 0.0722 | − 0.8596 | − 0.2365 | 0.3575 | − 0.3189 | − 0.9875 | − 0.3844 | − 0.9981 | − 0.5963 | 0.9683 |
0.4796 | − 0.6437 | 0.8626 | − 0.9983 | 0.2107 | 0.2624 | 0.3155 | 0.8681 | 0.0031 | 0.5761 |
− 0.8149 | − 0.0163 | − 0.7180 | 0.0790 | − 0.5860 | − 0.8722 | − 1.0000 | − 0.0553 | − 0.9973 | 0.7705 |
− 0.7864 | 0.9999 | 0.0888 | − 0.6935 | 0.8317 | 0.0276 | − 1.0000 | 0.1158 | − 1.0000 | 0.9950 |
0.8772 | − 0.0787 | − 0.0674 | 0.8758 | − 0.0006 | 0.0845 | 0.8767 | − 0.3215 | − 0.1753 | − 0.6916 |
0.3760 | 0.2494 | 0.2704 | 0.6276 | 0.5013 | − 0.6468 | − 0.9209 | − 0.3032 | − 0.0577 | 0.7387 |
Hidden biases (10 × 1) | Hidden to output weights (10 × 1) | Output bias |
---|---|---|
− 0.1236 | − 0.3139 | − 0.1236 |
− 1.0000 | 0.7471 | |
1.0000 | 0.4464 | |
− 0.2578 | − 0.3991 | |
− 0.6572 | − 0.6543 | |
− 0.0828 | − 0.5151 | |
0.0845 | − 0.2546 | |
− 0.2637 | − 0.4603 | |
0.2883 | 0.2698 | |
− 0.2702 | − 0.4722 |
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Bardhan, A., Kumar, S., Kumar, A. et al. Compressive Strength Estimation of Manufactured Sand Concrete Using Hybrid ANN Paradigms Constructed with Meta-heuristic Algorithms. Iran J Sci Technol Trans Civ Eng (2024). https://doi.org/10.1007/s40996-024-01406-9
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DOI: https://doi.org/10.1007/s40996-024-01406-9