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Related Experiment Videos

Application of the kernel method to the inverse geosounding problem.

Hugo Hidalgo1, Sonia Sosa León, Enrique Gómez-Treviño

  • 1CICESE, Km. 107 Carr. Tijuana-Eda., 22860, Ensenada, Mexico. hugo@cicese.mx

Neural Networks : the Official Journal of the International Neural Network Society
|April 4, 2003
PubMed
Summary

Support vector regression offers a robust method for inverting electromagnetic data to determine Earth's layered structure. This technique shows improved model recovery compared to traditional regularization methods.

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Area of Science:

  • Geophysics
  • Earth Science
  • Electromagnetic Methods

Background:

  • Determining Earth's layered structure involves solving inverse problems.
  • Electromagnetic soundings at low induction numbers present a linear inverse problem.
  • Electrical conductivity distribution is key to interpreting electromagnetic data.

Purpose of the Study:

  • To apply support vector (SV) regression for inverting electromagnetic sounding data.
  • To evaluate the effectiveness of SV regression as a geophysical modeling technique.
  • To compare SV regression with existing regularization methods.

Main Methods:

  • Utilizing support vector (SV) regression for geophysical data inversion.
  • Applying the SV learning algorithm for its regularizing properties.

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  • Testing the method with both synthetic and field electromagnetic data.
  • Main Results:

    • SV regression demonstrated superior recovery of synthetic models compared to Tikhonov's regularization.
    • The SV formulation resulted in a smaller computational problem by solving in the data space.
    • For field data, SV regression produced models comparable to linear programming techniques, with enhanced robustness.

    Conclusions:

    • Support vector regression is an effective and robust technique for electromagnetic data inversion.
    • The method offers advantages in model recovery and computational efficiency over traditional approaches.
    • SV regression provides a valuable tool for geophysical modeling and understanding Earth's subsurface structure.