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Non-Parametric Bayesian Learning for Resource Estimation in the Autonomous Mine

机译:非参数贝叶斯学习自主矿井资源估算

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Conventional techniques for resource estimation generally involve the laborious analysis of variograms and the specifi cation of parameters for covariance functions. In large deposits, construction of resource models and their update require signifi cant amount of manual work, expert knowledge and time. In this paper we take a machine learning view to the problem of resource estimation. This is a non-parametric Bayesian method, leading to automatic parameter estimation (learning). Through Bayesian learning, the parameters of the model can be obtained by optimising a quantity known as the marginal likelihood. The main advantage of this approach over conventional maximum likelihood estimators is that the objective function incorporates the Occam’s razor principle. This allows the comparison of different statistical models – for example, models designed with different covariance functions – and naturally penalises complexity, thus avoiding overfi tting. Our technique presents signifi cant fl exibility for the defi nition of mean and covariance functions and permits the usage of more sophisticated models. The second contribution of this work is the formulation of a data fusion mechanism that continuously updates the resource model. As mining progresses, more information becomes available. For example, the hardness of the rocks can be measured while drilling blast holes, grades of ore and contaminants are obtained from cone logging. This information is in general available at a fi ner spatial resolution but can be more uncertain. The data fusion mechanism can seamlessly estimate the uncertainties of the different types of information and fuse them as new measurements are acquired. This procedure can signifi cantly improve the quality of the resource model, defi ning new grounds for stochastic mine planning. We demonstrate the effectiveness of our approach in estimating iron ore deposits by integrating information about different grades.
机译:资源估计的传统技术通常涉及变形函数的艰苦分析和协方差函数参数的特定阳离子。在大型存款中,资源模型的构建及其更新需要SigniFi Cant数量的手工工作,专业知识和时间。在本文中,我们将机器学习视图视为资源估计问题。这是一种非参数贝叶斯方法,导致自动参数估计(学习)。通过贝叶斯学习,通过优化称为边缘似然的数量可以获得模型的参数。这种方法在传统的最大似然估计器上的主要优点是目标函数包含欧洲剃刀原则。这允许比较不同的统计模型 - 例如,设计具有不同协方差功能的模型 - 并且自然惩罚复杂性,从而避免了过度的Toting。我们的技术为均值和协方差函数的Defi Inition提供了Signifi无法灵活,并允许使用更复杂的模型。这项工作的第二个贡献是制定数据融合机制,该机制不断更新资源模型。随着挖掘的进展,更多信息可用。例如,可以在钻孔孔的同时测量岩石的硬度,从锥形测井获得矿石和污染物的等级。此信息一般在FINEN空间分辨率下提供,但可能更不确定。数据融合机制可以无缝地估计不同类型信息的不确定性并将其熔化,因为获得了新的测量。此过程可以通过扩大推动资源模型的质量,为随机矿山规划进行污染新建。我们通过整合有关不同等级的信息来展示我们对估计铁矿矿床的方法。

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