460 citations · 1.2k across the 40 of their papers we have counts for
4 papers · 1 filter
Sarrus rules and dihedral groups
Dirk A. Lorenz, Karl-Joachim Wirths
This paper is devoted to the analysis of a false generalization of the rule of Sarrus and its properties that can be derived with the help of dihedral groups. Further, we discuss a…
Primal-dual residual networks
Christoph Brauer, Dirk Lorenz
In this work, we propose a deep neural network architecture motivated by primal-dual splitting methods from convex optimization. We show theoretically that there exists a close rel…
The Randomized Kaczmarz Method with Mismatched Adjoint
Dirk A. Lorenz, Sean Rose, Frank Schöpfer
This paper investigates the randomized version of the Kaczmarz method to solve linear systems in the case where the adjoint of the system matrix is not exact---a situation we refer…
Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive stepsizes and convergence
Dirk A. Lorenz, Quoc Tran-Dinh
We revisit the classical Douglas-Rachford (DR) method for finding a zero of the sum of two maximal monotone operators. Since the practical performance of the DR method crucially de…