228 citations · 571 across the 28 of their papers we have counts for
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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.…
Graph and distributed extensions of the Douglas-Rachford method
Kristian Bredies, Enis Chenchene, Emanuele Naldi
In this paper, we propose several graph-based extensions of the Douglas-Rachford splitting (DRS) method to solve monotone inclusion problems involving the sum of maximal monoto…
A hybrid proximal generalized conditional gradient method and application to total variation parameter learning
Kristian Bredies, Enis Chenchene, Alireza Hosseini
In this paper we present a new method for solving optimization problems involving the sum of two proper, convex, lower semicontinuous functions, one of which has Lipschitz continuo…
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…
Boundedness and unboundedness in total variation regularization
Kristian Bredies, José A. Iglesias, Gwenael Mercier
We consider whether minimizers for total variation regularization of linear inverse problems belong to even if the measured data does not. We present a simple proof of b…