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Improvement towards Prediction Accuracy of Principle Mineral Resources Using Threshold

机译:利用阈值提高主要矿产资源预测精度

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摘要

The production data of mineral resources are noisy, nonstationary, and nonlinear. Therefore, some techniques are required to address the problem of nonstationarity and complexity of noises in it. In this paper, two hybrid models (EMD-CEEMDAN-EBT-MM and WA-CEEMDAN-EBT-MM) flourish to improve mineral production prediction. First, we use empirical mode decomposition (EMD) and wavelet analysis (WA) to denoise the data. Second, ensemble empirical mode decomposition (EEMD) and complete ensemble empirical mode decomposition (CEEMDAN) are used for the decomposition of nonstationary data into intrinsic mode function (IMF). Then, empirical Bayesian threshold (EBT) is applied on noise dominant IMFs to consolidate noises, which are further used as input in the data-driven model. Next, other noise-free IMFs are used in the stochastic model as input for the prediction of minerals. At last, the predicted IMFs are ensemble for final prediction. The proposed strategy is exemplified using Pakistan's four major mineral resources. To measure the prediction performance of all the models, three methods, that is, mean relative error, mean square error, and mean absolute percentage error, are used. Our proposed framework WA-CEEMDAN-EBT-MM has shown improvement with minimum mean absolute percentage error value compared to other existing models in prediction accuracy for all four minerals. Therefore, our proposed strategy can predict the noisy and nonstationary time-series data with an efficient mechanism. Hence, it will be helpful to the policymakers for making policies and planning in mineral resource management.
机译:矿产资源生产数据具有噪声性、非平稳性、非线性等特点。因此,需要一些技术来解决其中噪声的非平稳性和复杂性问题。在本文中,两种混合模型(EMD-CEEMDAN-EBT-MM 和 WA-CEEMDAN-EBT-MM)蓬勃发展,以改善矿物产量预测。首先,我们使用经验模态分解(EMD)和小波分析(WA)对数据进行去噪。其次,利用集成经验模态分解(EEMD)和完全集成经验模态分解(CEEMDAN)将非平稳数据分解为本征模态函数(IMF)。然后,将经验贝叶斯阈值(EBT)应用于噪声主导的IMF以合并噪声,并将其进一步用作数据驱动模型中的输入。接下来,在随机模型中使用其他无噪声 IMF 作为矿物预测的输入。最后,预测的IMF是最终预测的集合。拟议的战略以巴基斯坦的四大矿产资源为例。为了衡量所有模型的预测性能,使用了平均相对误差、均方误差和平均绝对百分比误差三种方法。我们提出的框架 WA-CEEMDAN-EBT-MM 与其他现有模型相比,在所有四种矿物的预测准确性方面都显示出最小的平均绝对百分比误差值的改进。因此,我们提出的策略能够有效地预测噪声和非平稳的时间序列数据。因此,有助于政策制定者制定矿产资源管理政策和规划。

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    Department of Statistics Quaid-i-Azam University Islamabad;

    Department of Mathematics College of Sciences and Arts (Muhyil) King Khalid University Muhyil 61421 ||Department of Mathematics and Computer College of Sciences Ibb University Ibb 70270;

    Department of Statistics Government College Women University SialkotDepartment of Statistics COMSATS University Islamabad Lahore Campus LahoreMathematics Department College of Humanities and Science Prince Sattam Bin Abdulaziz University Al Aflaj ||Administration Department Administrative Science College Thamar University ThamarDepartment of Management Sciences National University of Modern Languages LahoreDepartment of Physics College of Sciences and Arts (Muhyil) King Khalid University Muhyil 61421;

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