4 papers
Alternating steepest descent methods for tensor completion with applications to spectromicroscopy
Oliver Townsend, Sergey Dolgov, Silvia Gazzola +1
In this paper we develop two new Tensor Alternating Steepest Descent algorithms for tensor completion in the low-rank -product format, whereby we aim to reconstruct an e…
Automatic nonstationary anisotropic Tikhonov regularization through bilevel optimization
Silvia Gazzola, Ali Gholami
Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a…
TRIPs-Py: Techniques for Regularization of Inverse Problems in Python
Mirjeta Pasha, Silvia Gazzola, Connor Sanderford +1
In this paper, we describe TRIPs-Py, a new Python package of linear discrete inverse problems solvers and test problems. The goal of the package is two-fold: 1) to provide tools fo…
Automatic balancing parameter selection for Tikhonov-TV regularization
Ali Gholami, Silvia Gazzola
This paper considers large-scale linear ill-posed inverse problems whose solutions can be represented as sums of smooth and piecewise constant components. To solve such problems we…