Using Principal Component Analysis and Online Sequential Extreme Learning Machine Approach for Transient Electromagnetic Nonlinear Inversion: TEM-Inversion-based-on-PCA-OSELM

Ruiyou Li
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引用次数: 1

Abstract

The traditional artificial neural network based on gradient descent method result in low computational efficiency and local convergence for transient electromagnetic inversion. To solve the these problems, a hybrid approach combining principal component analysis (PCA) and online sequential extreme learning machine (OSELM) is proposed in this paper (PCA-OSELM) and is applied in the transient electromagnetic inversion. First, a principal component analysis method is introduced to reduce the dimension of vertical magnetic field data and improves the computational efficiency. Then, the new samples obtained from the data sets are added to the training samples as the next update information to establish the OSELM prediction models, so that improve the inversion accuracy. Finally, the inversion results of the two typical layered geoelectric models and a quasi two-dimensional geoelectric model show that the proposed approach can well solve the modeling nonlinear problem that high-dimensional data generated by transient electromagnetic method. Moreover, compared with other nonlinear inversion methods (OSELM, ELM), the PCA-OSELM achieves more accurate, better generalization ability and higher computational efficiency, which can provide new ideas for the application of neural networks in geophysical inversion.
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传统的基于梯度下降法的人工神经网络在瞬变电磁反演中存在计算效率低、局部收敛的问题。为了解决这些问题,本文提出了一种结合主成分分析(PCA)和在线顺序极限学习机(OSELM)的混合方法(PCA-OSELM),并将其应用于瞬变电磁反演中。首先,采用主成分分析法对垂直磁场数据进行降维处理,提高了计算效率;然后,将从数据集中获得的新样本添加到训练样本中作为下一个更新信息,建立OSELM预测模型,从而提高反演精度。两个典型层状地电模型和一个准二维地电模型的反演结果表明,该方法可以很好地解决瞬变电磁法生成的高维数据的建模非线性问题。此外,与其它非线性反演方法(OSELM、ELM)相比,PCA-OSELM具有更高的精度、更好的泛化能力和更高的计算效率,为神经网络在地球物理反演中的应用提供了新的思路。
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