50 citations · 342 across the 14 of their papers we have counts for
14 papers
Large-scale focusing joint inversion of gravity and magnetic data with Gramian constraint
Saeed Vatankhah, Rosemary A. Renaut, Xingguo Huang +2
A fast algorithm for the large-scale joint inversion of gravity and magnetic data is developed. It uses a nonlinear Gramian constraint to impose correlation between density and sus…
A fast methodology for large-scale focusing inversion of gravity and magnetic data using the structured model matrix and the fast Fourier transform
Rosemary A. Renaut, Jarom D. Hogue, Saeed Vatankhah
Focusing inversion of potential field data for the recovery of sparse subsurface structures from surface measurement data on a uniform grid is discussed. For the uniform grid the m…
Generalized L-norm joint inversion of gravity and magnetic data using cross-gradient constraint
Saeed Vatankhah, Shuang Liu, Rosemary A. Renaut +2
A generalized unifying approach for -norm joint inversion of gravity and magnetic data using the cross-gradient constraint is presented. The presented framework incorporates…
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…
Improving the use of the randomized singular value decomposition for the inversion of gravity and magnetic data
Saeed Vatankhah, Shuang Liu, Rosemary A. Renaut +2
The large-scale focusing inversion of gravity and magnetic potential field data using -norm regularization is considered. The use of the randomized singular value decompositio…
IGUG: A MATLAB package for D inversion of gravity data using graph theory
Saeed Vatankhah, Vahid Ebrahimzadeh Ardestani, Susan Soodmand Niri +2
The open source MATLAB package IGUG for 3D inversion of gravity data is presented. It is based on methodology that was introduced by Bijani et al (2015), in which a homogeneous sub…
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…
3-D Projected inversion of gravity data
Saeed Vatankhah, Rosemary A. Renaut, Vahid. E. Ardestani
Sparse inversion of gravity data based on -norm regularization is discussed. An iteratively reweighted least squares algorithm is used to solve the problem. At each iteration…
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…
Automatic estimation of the regularization parameter in 2-D focusing gravity inversion: an application to the Safo manganese mine in northwest of Iran
Saeed Vatankhah, Vahid E Ardestani, Rosemary A Renaut
We investigate the use of Tikhonov regularization with the minimum support stabilizer for underdetermined 2-D inversion of gravity data. This stabilizer produces models with non-sm…