3-D Projected L1 inversion of gravity data using truncated unbiased predictive risk estimator for regularization parameter estimation
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Rosemary A. Renaut | Saeed Vatankhah | Vahid E. Ardestani | R. Renaut | S. Vatankhah | V. E. Ardestani
[1] Jiajia Sun,et al. Adaptive Lp inversion for simultaneous recovery of both blocky and smooth features in a geophysical model , 2014 .
[2] Rosemary A. Renaut,et al. A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems , 2009 .
[3] Gene H. Golub,et al. Generalized cross-validation as a method for choosing a good ridge parameter , 1979, Milestones in Matrix Computation.
[4] R. Blakely. Potential theory in gravity and magnetic applications , 1996 .
[5] Michael A. Saunders,et al. LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.
[6] Elena Cherkaev,et al. Non-smooth gravity problem with total variation penalization functional , 2002 .
[7] Douglas W. Oldenburg,et al. 3-D inversion of magnetic data , 1996 .
[8] K. Kubik,et al. Compact gravity inversion , 1983 .
[9] P. Hansen. Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion , 1987 .
[10] J. Nagy,et al. A weighted-GCV method for Lanczos-hybrid regularization. , 2007 .
[11] M. Chouteau,et al. Constraints in 3D gravity inversion , 2001 .
[12] D. Oldenburg,et al. 3-D inversion of gravity data , 1998 .
[13] Rosemary A. Renaut,et al. Computational Statistics and Data Analysis , 2022 .
[14] Mark Pilkington,et al. 3D magnetic data-space inversion with sparseness constraints , 2009 .
[15] D. Oldenburg,et al. Subspace linear inverse method , 1994 .
[16] D. Oldenburg,et al. NON-LINEAR INVERSION USING GENERAL MEASURES OF DATA MISFIT AND MODEL STRUCTURE , 1998 .
[17] Zhongxiao Jia,et al. Some results on the regularization of LSQR for large-scale discrete ill-posed problems , 2015, 1503.01864.
[18] Michael S. Zhdanov,et al. Minimum support nonlinear parametrization in the solution of a 3D magnetotelluric inverse problem , 2004 .
[19] Michel Chouteau,et al. 3D gravity inversion using a model of parameter covariance , 2003 .
[20] Gene H. Golub,et al. Matrix computations , 1983 .
[21] Iveta Hn. The regularizing effect of the Golub-Kahan iterative bidiagonalization and revealing the noise level in the data , 2009 .
[22] Rosemary A. Renaut,et al. Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems 5 December 2016 , 2016 .
[23] D. Oldenburg,et al. Fast inversion of large-scale magnetic data using wavelet transforms and a logarithmic barrier method , 2003 .
[24] Jonathan B. Ajo-Franklin,et al. Applying Compactness Constraints to Differential Traveltime Tomography , 2007 .
[25] J. Navarro-Pedreño. Numerical Methods for Least Squares Problems , 1996 .
[26] T. Dahlin,et al. A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys , 2001 .
[27] S. Voronin. Regularization of Linear Systems with Sparsity Constraints with Applications to Large Scale Inverse Problems , 2012 .
[28] Per Christian Hansen,et al. Analysis of Discrete Ill-Posed Problems by Means of the L-Curve , 1992, SIAM Rev..
[29] Bernd Hofmann,et al. Regularization for applied inverse and ill-posed problems : a numerical approach , 1986 .
[30] Michael S. Zhdanov,et al. Focusing geophysical inversion images , 1999 .
[31] Mark Pilkington,et al. 3-D Magnetic Data-space Inversion With Sparseness Constraints , 2008 .
[32] V. Morozov. On the solution of functional equations by the method of regularization , 1966 .
[33] Per Christian Hansen,et al. Regularization Tools version 4.0 for Matlab 7.3 , 2007, Numerical Algorithms.
[34] Rosemary A Renaut,et al. Regularization parameter estimation for underdetermined problems by the χ 2 principle with application to 2D focusing gravity inversion , 2014, 1402.3365.
[35] M. Fedi,et al. Invariant models in the inversion of gravity and magnetic fields and their derivatives , 2014 .
[36] D. Oldenburg,et al. A comparison of automatic techniques for estimating the regularization parameter in non-linear inverse problems , 2004 .
[37] S. K. Runcorn,et al. Interpretation theory in applied geophysics , 1965 .
[38] Rosemary A. Renaut,et al. Application of the χ2 principle and unbiased predictive risk estimator for determining the regularization parameter in 3-D focusing gravity inversion , 2014, 1408.0712.
[39] Michael A. Saunders,et al. Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems , 1982, TOMS.
[40] D. Oldenburg,et al. 3-D inversion of gravity data , 1998 .
[41] Brendt Wohlberg,et al. An Iteratively Reweighted Norm Algorithm for Minimization of Total Variation Functionals , 2007, IEEE Signal Processing Letters.
[42] Colin Farquharson,et al. Constructing piecewise-constant models in multidimensional minimum-structure inversions , 2008 .
[43] C. Vogel. Computational Methods for Inverse Problems , 1987 .
[44] Rosemary A. Renaut,et al. Automatic estimation of the regularization parameter in 2-D focusing gravity inversion: an application to the Safo manganese mine in northwest of Iran , 2013, ArXiv.
[45] James G. Nagy,et al. Generalized Arnoldi-Tikhonov Method for Sparse Reconstruction , 2014, SIAM J. Sci. Comput..
[46] Per Christian Hansen,et al. REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems , 1994, Numerical Algorithms.
[47] Donald W. Marquaridt. Generalized Inverses, Ridge Regression, Biased Linear Estimation, and Nonlinear Estimation , 1970 .
[48] Gary D. Egbert,et al. An efficient data-subspace inversion method for 2-D magnetotelluric data , 2000 .
[49] P. Hansen. Discrete Inverse Problems: Insight and Algorithms , 2010 .
[50] D. Oldenburg,et al. Generalized subspace methods for large-scale inverse problems , 1993 .