Search Results - "LORENZ, DIRK A."

An Inertial Forward-Backward Algorithm for Monotone Inclusions by Lorenz, Dirk A., Pock, Thomas

“…In this paper, we propose an inertial forward-backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two…”
Get full text

Linear convergence of the randomized sparse Kaczmarz method by Schöpfer, Frank, Lorenz, Dirk A.

“…The randomized version of the Kaczmarz method for the solution of consistent linear systems is known to converge linearly in expectation. And even in the…”
Get full text

Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction by Mikhaylenko, Andrey, Rauter, Natalie, Bellam Muralidhar, Nanda Kishore, Barth, Tilmann, Lorenz, Dirk A., Lammering, Rolf

“…Guided ultrasonic waves are suitable for use in the context of structural health monitoring of thin-walled, plate-like structures. Hence, observing the wave…”
Get full text

Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage by Bellam Muralidhar, Nanda Kishore, Rauter, Natalie, Mikhaylenko, Andrey, Lammering, Rolf, Lorenz, Dirk A.

“…This paper focuses on parametric model order reduction (PMOR) of guided ultrasonic wave propagation and its interaction with damage in a fiber metal laminate…”
Get full text

Quadratically Regularized Optimal Transport by Lorenz, Dirk A., Manns, Paul, Meyer, Christian

“…We investigate the problem of optimal transport in the so-called Kantorovich form, i.e. given two Radon measures on two compact sets, we seek an optimal…”
Get full text

Faster randomized block sparse Kaczmarz by averaging by Tondji, Lionel, Lorenz, Dirk A.

“…The standard randomized sparse Kaczmarz (RSK) method is an algorithm to compute sparse solutions of linear systems of equations and uses sequential updates,…”
Get full text

A Bregman–Kaczmarz method for nonlinear systems of equations by Gower, Robert, Lorenz, Dirk A., Winkler, Maximilian

“…We propose a new randomized method for solving systems of nonlinear equations, which can find sparse solutions or solutions under certain simple constraints…”
Get full text

Correction: A Bregman–Kaczmarz method for nonlinear systems of equations by Gower, Robert, Lorenz, Dirk A., Winkler, Maximilian

Get full text

Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding by Bredies, Kristian, Lorenz, Dirk A., Reiterer, Stefan

“…Convergence analysis is carried out for a forward-backward splitting/generalized gradient projection method for the minimization of a special class of…”
Get full text

Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint by Lorenz, Dirk A., Schneppe, Felix

“…The primal-dual method of Chambolle and Pock is a widely used algorithm to solve various optimization problems written as convex-concave saddle point problems…”
Get full text

Nonconvex flexible sparsity regularization: theory and monotone numerical schemes by Ghilli, Daria, Lorenz, Dirk A., Resmerita, Elena

“…Flexible sparsity regularization means stably approximating sparse solutions of operator equations by using coefficient-dependent penalizations. We propose and…”
Get full text

Non-stationary Douglas–Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence by Lorenz, Dirk A., Tran-Dinh, Quoc

“…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…”
Get full text

Denoising of Image Gradients and Total Generalized Variation Denoising by Komander, Birgit, Lorenz, Dirk A., Vestweber, Lena

“…We revisit total variation denoising and study an augmented model where we assume that an estimate of the image gradient is available. We show that this…”
Get full text

Constructing Test Instances for Basis Pursuit Denoising by Lorenz, D. A.

“…The number of available algorithms for the so-called Basis Pursuit Denoising problem (or the related LASSO-problem) is large and keeps growing. Similarly, the…”
Get full text

The randomized Kaczmarz method with mismatched adjoint by Lorenz, Dirk A., Rose, Sean, Schöpfer, Frank

“…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…”
Get full text

Complexity and Applications of the Homotopy Principle for Uniformly Constrained Sparse Minimization by Brauer, Christoph, Lorenz, Dirk A.

“…In this paper, we investigate the homotopy path related to ℓ 1 -norm minimization problems with ℓ ∞ -norm constraints. We establish an enhanced upper bound on…”
Get full text

On Conditions for Convergence to Consensus by Lorenz, Jan, Lorenz, Dirk A

“…A new theorem on conditions for convergence to consensus of a multiagent time-dependent time-discrete dynamical system is presented. The theorem is build up on…”
Get full text

HEURISTIC PARAMETER-CHOICE RULES FOR CONVEX VARIATIONAL REGULARIZATION BASED ON ERROR ESTIMATES by JIN, BANGTI, LORENZ, DIRK A.

“…In this paper, we are interested in heuristic parameter-choice rules for general convex variational regularization which are based on error estimates. Two such…”
Get full text

Image Sequence Interpolation Based on Optical Flow, Segmentation, and Optimal Control by Kanglin Chen, Lorenz, D. A.

“…When using motion fields to interpolate between two consecutive images in an image sequence, a major problem is to handle occlusions and disclusions properly…”
Get full text

A generalized conditional gradient method and its connection to an iterative shrinkage method by Bredies, Kristian, Lorenz, Dirk A., Maass, Peter

“…This article combines techniques from two fields of applied mathematics: optimization theory and inverse problems. We investigate a generalized conditional…”
Get full text