Genetic Algorithm Based Tikhonov Regularization Method for Displacement Reconstruction

  • Zhen Peng (彭 真)
  • Zhilong Yang (杨枝龙)
  • Jiahuang Tu (涂佳黄)Email author


In this paper, a genetic algorithm based Tikhonov regularization algorithm is proposed for determination of global optimal regularization factor in displacement reconstruction. Optimization mathematic models are built by using the generalized cross-validation (GCV) criterion, L-curve criterion and Engl’s error minimization (EEM) criterion as the objective functions to prevent the regularization factor sinking into the local optimal solution. The validity of the proposed algorithm is demonstrated through a numerical study of the frame structure model. Additionally, the influence of the noise level and the number of sampling points on the optimal regularization factor is analyzed. The results show that the proposed algorithm improves the robustness of the algorithm effectively, and reconstructs the displacement accurately.

Key words

genetic algorithm Tikhonov regularization displacement reconstruction inverse problem parameter optimization 

CLC number

TN 911.7 

Document code


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Copyright information

© Shanghai Jiao Tong University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Zhen Peng (彭 真)
    • 1
    • 2
  • Zhilong Yang (杨枝龙)
    • 1
  • Jiahuang Tu (涂佳黄)
    • 1
    • 3
    Email author
  1. 1.College of Civil Engineering and MechanicsXiangtan UniversityXiangtanChina
  2. 2.School of Civil and Environmental EngineeringHarbin Institute of Technology (Shenzhen)ShenzhenChina
  3. 3.Hunan Key Laboratory of Geomechanics and Engineering SafetyXiangtan UniversityXiangtanChina

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