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Regularization parameter estimation for underdetermined problems by the <i>χ</i> <sup>2</sup> principle with application to 2D focusing gravity inversion

Regularization parameter estimation for underdetermined problems by the <i>χ</i> <sup>2</sup> principle with application to 2D focusing gravity inversion

The χ 2 -principle generalizes the Morozov discrepancy principle to the augmented residual of the Tikhonov regularized least squares problem.For weighting of the data fidelity by a known Gaussian noise distribution on the measured data and, when the stabilizing, or regularization, term is considered to be weighted by unknown inverse …