460 citations · 1.2k across the 40 of their papers we have counts for
46 papers
Enhanced attenuation modelling for multispectral computed tomography
Jürgen Jeschke, Dirk Lorenz
We revisit the modelling of the material decomposition problem in multispectral computed tomography and propose to leverage the known absorption spectra of different materials. Wit…
An accelerated randomized Bregman-Kaczmarz method for strongly convex linearly constraint optimization
Lionel Tondji, Dirk A. Lorenz, Ion Necoara
In this paper, we propose a randomized accelerated method for the minimization of a strongly convex function under linear constraints. The method is of Kaczmarz-type, i.e. it only…
On the Interplay of Subset Selection and Informed Graph Neural Networks
Niklas Breustedt, Paolo Climaco, Jochen Garcke +5
Machine learning techniques paired with the availability of massive datasets dramatically enhance our ability to explore the chemical compound space by providing fast and accurate…
Linearly convergent adjoint free solution of least squares problems by random descent
Dirk A. Lorenz, Felix Schneppe, Lionel Tondji
We consider the problem of solving linear least squares problems in a framework where only evaluations of the linear map are possible. We derive randomized methods that do not need…
A Bregman-Kaczmarz method for nonlinear systems of equations
Robert Gower, Dirk A. Lorenz, Maximilian Winkler
We propose a new randomized method for solving systems of nonlinear equations, which can find sparse solutions or solutions under certain simple constraints. The scheme only takes…
The Degenerate Variable Metric Proximal Point Algorithm and Adaptive Stepsizes for Primal-Dual Douglas-Rachford
Dirk A. Lorenz, Jannis Marquardt, Emanuele Naldi
In this paper the degenerate preconditioned proximal point algorithm will be combined with the idea of varying preconditioners leading to the degenerate variable metric proximal po…