50 citations · 342 across the 14 of their papers we have counts for
7 papers · 1 filter
A Tutorial and Open Source Software for the Efficient Evaluation of Gravity and Magnetic Kernels
Jarom D Hogue, Rosemary A Renaut, Saeed Vatankhah
Fast computation of three-dimensional gravity and magnetic forward models is considered. Measurement data is assumed to be obtained on a uniform grid which is staggered with respec…
Convergence of Regularization Parameters for Solutions Using the Filtered Truncated Singular Value Decomposition
Rosemary A. Renaut, Anthony W. Helmstetter, Saeed Vatankhah
The truncated singular value decomposition may be used to find the solution of linear discrete ill-posed problems in conjunction with Tikhonov regularization and requires the estim…
Total variation regularization of the -D gravity inverse problem using a randomized generalized singular value decomposition
Saeed Vatankhah, Rosemary A. Renaut, Vahid E. Ardestani
We present a fast algorithm for the total variation regularization of the -D gravity inverse problem. Through imposition of the total variation regularization, subsurface struct…
A fast algorithm for regularized focused 3-D inversion of gravity data using the randomized SVD
Saeed Vatankhah, Rosemary A. Renaut, Vahid E. Ardestani
A fast algorithm for solving the under-determined 3-D linear gravity inverse problem based on the randomized singular value decomposition (RSVD) is developed. The algorithm combine…
Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems
Rosemary A. Renaut, Saeed Vatankhah, Vahid E. Ardestani
Tikhonov regularization for projected solutions of large-scale ill-posed problems is considered. The Golub-Kahan iterative bidiagonalization is used to project the problem onto a s…
Application of the principle and unbiased predictive risk estimator for determining the regularization parameter in 3D focusing gravity inversion
Saeed Vatankhah, Vahid E. Ardestani, Rosemary A. Renaut
The principle and the unbiased predictive risk estimator are used to determine optimal regularization parameters in the context of 3D focusing gravity inversion with the mini…
Regularization Parameter Estimation for Underdetermined problems by the principle with application to focusing gravity inversion
Saeed Vatankhah, Rosemary A Renaut, Vahid E Ardestani
The -principle generalizes the Morozov discrepancy principle (MDP) to the augmented residual of the Tikhonov regularized least squares problem. Weighting of the data fidelity…