2012 // journal-article
Gradient descent for tikhonov functionals with sparsity constraints: Theory and numerical comparison of step size rules
Electronic Transactions on Numerical Analysis
Lorenz, D.A.; Maass, P.; Muoi, P.Q.
DOI:
2012 // journal-article
Image sequence interpolation based on optical flow, segmentation, and optimal control
IEEE Transactions on Image Processing
Chen, K.; Lorenz, D.A.
DOI: 10.1109/TIP.2011.2179305
2011 // journal-article
Morozov's Principle for the Augmented Lagrangian Method Applied to Linear Inverse Problems
DOI: 10.1137/100812835
2011 // journal-article
Beyond convergence rates: Exact recovery with the Tikhonov regularization with sparsity constraints
Inverse Problems
Lorenz, D.A.; Schiffler, S.; Trede, D.
DOI: 10.1088/0266-5611/27/8/085009
2011 // book
Mathematical image processing
DOI: 10.1007/978-3-8348-9814-2
2011 // journal-article
Image Sequence Interpolation Using Optimal Control
DOI: 10.1007/s10851-011-0274-2
2010 // journal-article
Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates
DOI: 10.1137/100784369
2010 // book
Compounds, Drugs and Mathematical Image Processing
DOI: 10.1007/978-3-642-11248-5_20
2010 // journal-article
A Projection Proximal-Point Algorithm for ℓ1Minimization
DOI: 10.1080/01630560903381712
2010 // book
Sparse Deconvolution for Peak Picking and Ion Charge Estimation in Mass Spectrometry
DOI: 10.1007/978-3-642-12110-4_43
2010 // journal-article
Error estimates for joint Tikhonov and Lavrentiev regularization of constrained control problems
DOI: 10.1080/00036811.2010.496360
2009 // journal-article
Elastic-net regularization: error estimates and active set methods
DOI: 10.1088/0266-5611/25/11/115022
2009 // journal-article
Regularization with non-convex separable constraints
DOI: 10.1088/0266-5611/25/8/085011
2009 // journal-article
Inline hologram reconstruction with sparsity constraints
DOI: 10.1364/ol.34.003475
2009 // journal-article
On the role of sparsity in inverse problems
Journal of Inverse and Ill-Posed Problems
Lorenz, D.A.
DOI: 10.1515/JIIP.2009.007
2009 // book
Convergence to Consensus by General Averaging
DOI: 10.1007/978-3-642-02894-6_9
2009 // journal-article
A generalized conditional gradient method and its connection to an iterative shrinkage method
DOI: 10.1007/s10589-007-9083-3
2009 // journal-article
Greedy solution of ill-posed problems: Error bounds and exact inversion
Inverse Problems
Denis, L.; Lorenz, D.A.; Trede, D.
DOI: 10.1088/0266-5611/25/11/115017
2009 // journal-article
Optimal convergence rates for Tikhonov regularization in Besov scales
Journal of Inverse and Ill-Posed Problems
Lorenz, D.A.; Trede, D.
DOI: 10.1515/JIIP.2009.008
2009 // book
Active ingredients, drugs and mathematical image processing
DOI: 10.1007/978-3-540-89435-3_20
2008 // journal-article
Optimal convergence rates for Tikhonov regularization in Besov scales
Inverse Problems
Lorenz, D.A.; Trede, D.
DOI: 10.1088/0266-5611/24/5/055010
2008 // journal-article
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
Journal of Inverse and Ill-Posed Problems
Lorenz, D.A.
DOI: 10.1515/JIIP.2008.025
2008 // journal-article
A semismooth Newton method for Tikhonov functionals with sparsity constraints
Inverse Problems
Griesse, R.; Lorenz, D.A.
DOI: 10.1088/0266-5611/24/3/035007
2008 // journal-article
On the convergence speed of iterative methods for linear inverse problems with sparsity constraints
Journal of Physics: Conference Series
Bredies, K.; Lorenz, D.A.
DOI: 10.1088/1742-6596/124/1/012031
2008 // journal-article
Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
DOI: 10.1137/060663556
