3 papers
math.NA2025
A Second-Order TGV Discretization with Rotational Invariance Property
Alireza Hosseini, Kristian Bredies
In this work, we propose a new discretization for second-order total generalized variation (TGV) with some distinct properties compared to existing discrete formulations. The intro…
math.OC2024
A sparse optimization approach to infinite infimal convolution regularization
Kristian Bredies, Marcello Carioni, Martin Holler +2
In this paper we introduce the class of infinite infimal convolution functionals and apply these functionals to the regularization of ill-posed inverse problems. The proposed regul…
math.OC2024
A stochastic preconditioned Douglas-Rachford splitting method for saddle-point problems
Yakun Dong, Kristian Bredies, Hongpeng Sun
In this article, we propose and study a stochastic and relaxed preconditioned Douglas--Rachford splitting method to solve saddle-point problems that have separable dual variables.…