Evaluating the Performance of Extreme Learning Machine Technique for Ore Grade Estimation

IF 0.7 Q4 GREEN & SUSTAINABLE SCIENCE & TECHNOLOGY
C. A. Abuntori, S. Al-Hassan, D. Mireku-Gyimah, Y. Ziggah
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引用次数: 2

Abstract

Due to the complex geology of vein deposits and their erratic grade distributions, there is the tendency of over-estimating or underestimating the ore grade. These estimated grade results determine the pro fi tability of mining the ore deposit or otherwise. In this study, fi ve Extreme Learning Machine (ELM) variants based on hard limit, sigmoid, triangular basis, sine and radial basis activation functions were applied to predict ore grade. The motive is that the activation function has been identi fi ed to play a key role in achieving optimum ELM performance. Therefore, assessing the extent of in fl uence the activation functions will have on the fi nal outputs from the ELM has some scienti fi c value worth investigating. This study therefore applied ELM as ore grade estimator which is yet to be explored in the literature. The obtained results from the fi ve ELM variants were analysed and compared with the state-of-the-art benchmark methods of Back-propagation Neural Network (BPNN) and Ordinary Kriging (OK). The statistical test results revealed that the ELM with sigmoid activation function (ELM-Sigmoid) was the best among all the other investigated methods (ELM-Hard limit, ELM-Triangular basis, ELM-Sine, ELM-Radial Basis, BPNN and OK). This is because the ELM-sigmoid produced the lowest MAE (0.0175), MSE (0.0005) and RMSE (0.0229) with highest R 2 (91.93%) and R (95.88%) respectively. It was concluded that ELM-Sigmoid can be used by fi eld practitioners as a reliable alternative ore grade estimation technique.
极值学习机技术在矿石品位估计中的性能评价
由于脉状矿床地质复杂,品位分布不稳定,存在高估或低估矿石品位的倾向。这些估计的品位结果决定了开采该矿床或其他方面的盈利能力。本文采用基于硬极限、s型基、三角基、正弦基和径向基激活函数的5种极限学习机(ELM)变体对矿石品位进行预测。其动机是激活函数已被确定为在实现最佳ELM性能方面发挥关键作用。因此,评估激活函数对ELM最终输出的影响程度具有一些值得研究的科学价值。因此,本研究采用ELM作为矿石品位估计,这在文献中还有待探索。从五个ELM变体中获得的结果进行了分析,并与最先进的反向传播神经网络(BPNN)和普通克里格(OK)的基准方法进行了比较。统计检验结果表明,具有sigmoid激活函数的ELM (ELM- sigmoid)在所有研究的其他方法(ELM- hard limit, ELM- triangle basis, ELM- sine, ELM- radial basis, BPNN和OK)中是最好的。这是因为elm -s型的MAE(0.0175)最低,MSE(0.0005)和RMSE(0.0229)最高,r2(91.93%)和R(95.88%)最高。结果表明,ELM-Sigmoid可以作为一种可靠的替代矿石品位估算技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Sustainable Mining
Journal of Sustainable Mining Earth and Planetary Sciences-Geology
CiteScore
1.50
自引率
10.00%
发文量
20
审稿时长
16 weeks
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