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FEASIBILITY OF USING GROUP METHOD OF DATA HANDLING (GMDH) APPROACH FOR HORIZONTAL COORDINATE TRANSFORMATION

机译:使用数据处理组方法(GMDH)方法进行水平坐标变换的可行性

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摘要

Machine learning algorithms have emerged as a new paradigm shift in geoscience computations and applications. The present study aims to assess the suitability of Group Method of Data Handling (GMDH) in coordinate transformation. The data used for the coordinate transformation constitute the Ghana national triangulation network which is based on the two-horizontal geodetic datums (Accra 1929 and Leigon 1977) utilised for geospatial applications in Ghana. The GMDH result was compared with other standard methods such as Backpropagation Neural Network (BPNN), Radial Basis Function Neural Network (RBFNN), 2D conformal, and 2D affine. It was observed that the proposed GMDH approach is very efficient in transforming coordinates from the Leigon 1977 datum to the official mapping datum of Ghana, i.e. Accra 1929 datum. It was also found that GMDH could produce comparable and satisfactory results just like the widely used BPNN and RBFNN. However, the classical transformation methods (2D affine and 2D conformal) performed poorly when compared with the machine learning models (GMDH, BPNN and RBFNN). The computational strength of the machine learning models' is attributed to its self-adaptive capability to detect patterns in data set without considering the existence of functional relationships between the input and output variables. To this end, the proposed GMDH model could be used as a supplementary computational tool to the existing transformation procedures used in the Ghana geodetic reference network.
机译:机器学习算法已成为地球科学计算和应用中的新范式偏移。本研究旨在评估坐标转换中数据处理(GMDH)的组方法的适用性。用于坐标转换的数据构成了加纳国家三角测量网络,该网络是基于用于加纳的地理空间应用的两水平大地测量基准(ACCRA 1929和Leigon 1977)。将GMDH结果与其他标准方法进行比较,例如反向化神经网络(BPNN),径向基函数神经网络(RBFNN),2D共形和2D仿射。据观察,拟议的GMDH方法在将Leigon 1977基准转变为加纳的官方映射基准,即Accra 1929基准。还发现GMDH可以产生类似的令人满意的结果,就像广泛使用的BPNN和RBFNN一样。然而,与机器学习模型(GMDH,BPNN和RBFNN)相比,经典变换方法(2D冒犯和2D共形)在比较时进行得很差。机器学习模型的计算强度归因于其自适应能力,以检测数据集中的模式,而不考虑输入和输出变量之间的功能关系。为此,所提出的GMDH模型可以用作加纳地理位置参考网络中使用的现有变换过程的补充计算工具。

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