activity
20132018
most citedHybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems

50 citations · 254 across the 8 of their papers we have counts for

collaborators

8 papers

physics.geo-ph2018★ 15 cited

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…

math.NA2017★ 26 cited

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…

math.NA2017★ 34 cited

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…

physics.geo-ph2016★ 49 cited

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…

math.NA2015★ 50 cited

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…

math.NA2014★ 35 cited

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…

math.NA2014★ 17 cited

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…

cs.CE2013★ 28 cited

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…