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Compressive Strength Estimation of Manufactured Sand Concrete Using Hybrid ANN Paradigms Constructed with Meta-heuristic Algorithms

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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.

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Correspondence to Abidhan Bardhan.

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Appendix-A: MATLAB implementation of ANN-FF paradigm

Appendix-A: MATLAB implementation of ANN-FF paradigm

figure a
  • 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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