Classifying Coal Mine Pillar Stability Areas with Multiclass SVM on Ensemble Learning Models
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Pillars are key structural components in coal mining. The safety requirements of underground coal mines are non-negotiable. Accurately classifying the areas of pillar stability helps ensure safety in coal mines. This study aimed to classify new pillar stability categories and their stability areas. The multiclass support vector machine (SVM) method was implemented with two types of kernel functions (polynomial and radial basis function (RBF) kernels) on pillar stability data with four new categories: failed or intact, either with or without an appropriate safety factor. This classification uses three basic ensemble learning models: Artificial Neural Network-Backpropagation Rectified Linear Unit, Artificial Neural Network-Backpropagation Exponential Linear Unit, and Artificial Neural Network-Backpropagation Gaussian Error Linear Unit. The results with four data proportions and ten experiments had an average accuracy and standard deviation of 92.98% and 0.56%-1.64% respectively. The accuracies of the multiclass SVM method using the polynomial kernel and the RBF kernel with Bayesian parameter optimization to classify the areas of pillar stability were 91% and 92%, respectively. The multiclass SVM method with the RBF kernel captured 96.6% of potentially dangerous pillars. The visualization of classification areas showed that areas with intact pillars may also have failed pillars.
Li, N., Zare, M., Yi, C. & Jimenez, R., Stability Risk Assessment of Underground Rock Pillars Using Logistic Model Trees, International Journal of Environmental Research and Public Health, 2022.
Galvin, J.M., Ground Engineering - Principles and Practices for Underground Coal Mining, Springer, 2016.
Lunder, P., Hard Rock Pillar Strength Estimation an Applied Empirical Approach, PhD Dissertation, University of British Columbia, Vancouver, BC, Canada, 1994.
Kumar, R., Das, A.J., Mandal, P.K., Bhattacharjee, R., Tewari, S., Probabilistic Stability Analysis of Failed and Stable Cases of Coal Pillars, International Journal of Rock Mechanics and Mining Sciences, 144(12), 104810, 2021.
Mendrofa, G.A., Hertono, G.F. & Handari, B.D., Ensemble Learning Model on Artificial Neural Network-Backpropagation (ANN-BP) Architecture for Coal Pillar Stability Classification, ITM Web of Conferences, 2023.
Mark, C. & Agioutantis, Z., Analysis of Coal Pillar Stability (ACPS): A New Generation of Pillar Design Software, International Journal of Mining Science and Technology, 29(1), pp. 87-91,2019.
Eremin, M., Esterhuizen, G., Smolin, I., Numerical Simulation of Roof Cavings in Several Kuzbass Miners using Finite-difference Continuum Damage Mechanics Approach, International Journal of Mining Science and Technology, 30(2), pp. 157-166, 2020.
Vinay, L.S., Bhattacharjee, R.M., Ghosh, N. & Kumar, S., Machine Learning Approach for the Prediction of Mining-Induced Stress in Underground Mines to Mitigate Ground Control Disasters and Accidents, Geomech. Geophys. Geo-energ. Geo-resour., 9, 159, 2023.
Hidayat, S., Alpiana & Rahmawati, D., Application of Adaptive Neuro-Fuzzy Inference System (ANFIS) for Slope and Pillar Stability Assessment, International Conference on Mining and Environmental Technology, 413, 012003, 2020.
Liang, W., Luo, S., Zhao, G. & Wu, H., Predicting Hard Rock Pillar Stability Using GBDT, XGBoost, and LightGBM Algorithms, Mathematics, 8(5), 765,2020.
Ahmad, M., Al-Shaeya, N.A., Tang, X.-W., Jamal, A., Al-Ahmadi, H.M. & Ahmad, F., Predicting the Pillar Stability of Underground Mines with Random Trees and C4.5 Decision Trees, Applied Sciences, 10(18), 6486, 2020.
Van Der Merwe, J.N. & Mathey, M., Update of Coal Pillar Database for South African Coal Mining, The Journal of The Southern African Institute of Mining and Metallurgy, 113(11), pp. 825-840, 2013.
Song, G. & Yang, S., Probability and Reliability Analysis of Pillar Stability in South Africa, International Journal of Mining Science and Technology, 28(4), pp. 715-719, 2018.
Prassetyo, S.H., Irnawan, M.A., Simangunsong, G.H., Wattimena, R.K., Irwandy., A. & Rai, M.A., New Coal Pillar Strength Formulae Considering the Effect of Interface Friction, International Journal of Rock Mechanics and Mining Sciences, 123, 104102, 2019.
Madden, B., A Re-assessment of Coal-pillar Design, Journal of The South African Institute of Mining and Metallurgy, 91(1), pp. 27-37, 1991.
LeCun, Y., Bengio, Y. & Hinton, G., Review Deep Learning, Nature, pp. 436-444, 2015.
Benuwa, B.-B., Zhan, Y.Z., Ghansah, B., Wornyo, D.K. & Banaseka, F.K., A Review of Deep Machine Learning, International Journal of Engineering Research in Africa, 24, pp. 124-136, 2016.
Breiman, L., Bagging Predictors, Machine Learning 24, pp. 123-140, 1996.
Sharma, S., Sharma, S. & Athaiya, A., Activation Functions in Neural Networks, International Journal of Engineering Applied Sciences and Technology, 4(12), pp. 310-316, 2020.
Rasamoelina, A.D., Adjailia, F. & Sinčák, P., A Review of Activation Function for Artificial Neural Network, IEEE 18th World Symposium on Applied Machine Intelligence and Informatics, 2020.
Hendrycks, D., & Gimpel, K., Gaussian Error Linear Units (GELUs), arXiv, https://arxiv.org/abs/1606.08415, (22 February 2024).
Clevert, D.-A., Unterthiner, T. & Hochreiter, S., Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs), Conference on Learning Representations (ICLR), 2016.
Sharma, P., Malik, N., Akhtar, N., Rahul, & Rohilla, H., Feedforward Neural Network: A Review, International Journal of Advanced Research in Engineering and Applied Sciences, 2(10), pp. 25-34, 2013.
Keren, G., Sabato, S., & Schuller, B., Tunable Sensitivity to Large Errors in Neural Network Training, arXiv, https://arxiv.org/abs/1611.07743v1, (22 February 2024).
Li, C., Zhou, J., Amarghani, D. J., & Li, X., Stability Analysis of Underground Mine Hard Rock Pillars via Combination of Finite Difference Methods, Neural Networks, and Monte Carlo Simulation Techniques, Underground Space, 6, pp. 379-395, 2020.
Gong, M., A Novel Performance Measure for Machine Learning Classification, International Journal of Managing Information Technology (IJMIT), 13(1), 2021. doi: 10.5121/ijmit.2021.13101.
Zhou, J., Li, X. & Mitri, H. S., Comparative Performance of Six Supervised Learning Methods for the Development of Models of Hard Rock Pillar Stability Prediction, Nat Hazards, 2015.
Intan, Putroue, Comparison of Kernel Function on Support Vector Machine in Classification of Childbirth, Mantik: Jurnal Matematika, 5, pp. 90-99, 2019.
Nanda, M.A., Seminar, K., Nandika, D. & Maddu, A., A Comparison Study of Kernel Functions in the Support Vector Machine and Its Application for Termite Detection, Information, 9(1), 5, 2018.
Joseph, S.J., Robbins, K.R., Zhang, W. & Rekaya, R., Comparison of Two Output-coding Strategies for Multi-class Tumor Classification using Gene Expression Data and Latent Variable Model as Binary Classifier, Cancer informatics, 9, pp. 39-48, 2010.
Klein, A., Falkner, S., Bartels, S., Hennig, P. & Hutter, F., Fast Bayesian Optimization of Machine Learning Hyperparameters on Large Datasets, ArXiv, https://arxiv.org/abs/1605.07079, (22 February 2024).
Alibrahim, H. & Ludwig, S.A., Hyperparameter Optimization: Comparing Genetic Algorithm against Grid Search and Bayesian Optimization, IEEE Congress on Evolutionary Computation (CEC), pp. 1551-1559, 2021.
Masum, M., Shahriar, H., Haddad, H., Faruk, M.J.H., & Valero, M., & Khan, M.A., Rahman, M.A., & Adnan, M.I., Cuzzocrea, A. & Wu, F., Bayesian Hyperparameter Optimization for Deep Neural Network-Based Network Intrusion Detection, IEEE International Conference on Big Data (Big Data), pp. 5413-5419, 2021. doi: 10.1109/BigData52589.2021.9671576.
Brochu, E., Cora, V.M. & de Freitas, N., A Tutorial on Bayesian Optimization of Expensive Cost Functions, with Application to Active User Modeling and Hierarchical Reinforcement Learning, CoRR, 2010. doi: 10.48550/arXiv.1012.2599
Shahriari, B., Swersky, K., Wang, Z., Adams, R.P. & de Freitas, N., Taking the Human Out of the Loop: A Review of Bayesian Optimization, Proceedings of the IEEE, 104(1), pp. 148-175, 2016.
Santoso, B., Wijayanto, H., Notodiputro, K.A. & Sartono, B., Synthetic Over Sampling Methods for Handling Class Imbalanced Problems: A Review, IOP Conf. Series: Earth and Environmental Science, 58, 012031, 2017.
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