Vol20 No.12: 3732-3742

【Title】Performance comparison of training algorithms for the estimation of Böhme abrasion resistance using neural networks

【Author】Ali Can OZDEMIR; Esma KAHRAMAN*

【Addresses】Department of Mining Engineering, Çukurova University, Adana 01250, Türkiye

【Corresponding author】Esma KAHRAMAN

【Citation】Ozdemir AC, KahramanE (2023) Performance comparison of training algorithms for the estimation of Böhme abrasion resistance using neural networks. Journal of Mountain Science 20(12). https://doi.org/10.1007/s11629-023-8137-z

【DOI】https://doi.org/10.1007/s11629-023-8137-z

【Abstract】Natural stones used as floor and wall coverings are exposed to many different abrasive forces, so it is essential to choose suitable materials for wear resistance in terms of the life of the structure.The abrasion resistance of natural stones can be determined in the laboratory by applying the Böhme abrasion resistance (BAR) test. However, the direct analysis of BAR in the laboratory has disadvantages such as wasting time and energy, experimental errors, and health impacts. To eliminate these disadvantages, the estimation of BAR using artificial neural networks (ANN) was proposed. Different natural stone samples were collected from Türkiye, and uniaxial compressive strength (UCS), flexural strength (FS), water absorption rate (WA), unit volume weight (UW), effective porosity (n), and BAR tests were carried out. The outputs of these tests were gathered and a data set, consisting of a total of 105 data, was randomly divided into two groups: testing and training. In the current study, the success of three different training algorithms of Levenberg-Marquardt (LM), Bayesian regularization (BR), and scaled conjugate gradient (SCG) were compared for BAR prediction of natural stones. Statistical criteria such as coefficient of determination (R²), mean square error (MSE), mean square error (RMSE), and mean absolute percentage error (MAPE), which are widely used and adopted in the literature, were used to determine predictive validity. The findings of the study indicated that ANN is a valid method for estimating the BAR value. Also, the LM algorithm (R² = 0.9999, MSE= 0.0001, RMSE= 0.0110, and MAPE= 0.0487) in training and the BR algorithm (R² = 0.9896, MSE= 0.0589, RMSE= 0.2427, and MAPE= 1.2327) in testing showed the best prediction performance. It has been observed that the proposed method is quite practical to implement. Using the artificial neural networks method will provide an advantage in similar labor-intensive experimental studies.

【Keywords】Böhme abrasion resistance; Neural networks; Levenberg-Marquardt; Bayesian regularization; Scaled conjugate gradient