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09/12/2023
Adaptive Bregman-Kaczmarz: An Approach to Solve Linear Inverse Problems with Independent Noise Exactly
We consider the block Bregman-Kaczmarz method for finite dimensional lin...
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07/28/2023
Minimal error momentum Bregman-Kaczmarz
The Bregman-Kaczmarz method is an iterative method which can solve stron...
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06/15/2023
On the Interplay of Subset Selection and Informed Graph Neural Networks
Machine learning techniques paired with the availability of massive data...
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06/02/2023
Linearly convergent adjoint free solution of least squares problems by random descent
We consider the problem of solving linear least squares problems in a fr...
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03/15/2023
A Bregman-Kaczmarz method for nonlinear systems of equations
We propose a new randomized method for solving systems of nonlinear equa...
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09/26/2022
Learning Variational Models with Unrolling and Bilevel Optimization
In this paper we consider the problem learning of variational models in ...
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06/09/2022
Damage Identification in Fiber Metal Laminates using Bayesian Analysis with Model Order Reduction
Fiber metal laminates (FML) are composite structures consisting of metal...
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03/21/2022
Faster Randomized Block Sparse Kaczmarz by Averaging
The standard randomized sparse Kaczmarz (RSK) method is an algorithm to ...
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01/21/2022
Extended Randomized Kaczmarz Method for Sparse Least Squares and Impulsive Noise Problems
The Extended Randomized Kaczmarz method is a well known iterative scheme...
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01/13/2022
Chambolle-Pock's Primal-Dual Method with Mismatched Adjoint
The primal-dual method of Chambolle and Pock is a widely used algorithm ...
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11/11/2021
Nonconvex flexible sparsity regularization: theory and monotone numerical schemes
Flexible sparsity regularization means stably approximating sparse solut...
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03/07/2018
The Randomized Kaczmarz Method with Mismatched Adjoint
This paper investigates the randomized version of the Kaczmarz method to...
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01/11/2018
Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive stepsizes and convergence
We revisit the classical Douglas-Rachford (DR) method for finding a zero...
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12/22/2017
Denoising of image gradients and total generalized variation denoising
We revisit total variation denoising and study an augmented model where ...
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12/19/2016
An extended Perona-Malik model based on probabilistic models
The Perona-Malik model has been very successful at restoring images from...
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07/01/2014
Imaging with Kantorovich-Rubinstein discrepancy
We propose the use of the Kantorovich-Rubinstein norm from optimal trans...
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09/09/2013
The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations
The linearized Bregman method is a method to calculate sparse solutions ...
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08/03/2010