% This file was created by ZeTeM Website
 
% Dirk Lorenz

@BOOK{Bredies2018_51399,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Mathematical Image Processing},
  series = {Applied and Numerical Harmonic Analysis},
  publisher = {Birkhäuser},
  year = {2018},
  doi = {10.1007/978-3-030-01458-2}
}


@BOOK{Bredies2011_82948,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Mathematische Bildverarbeitung:},
  publisher = {Vieweg Verlag},
  year = {2011}
}


@INBOOK{Breustedt2025_55d45,
  author = {Niklas Breustedt and Paolo Climaco and Jochen Garcke and Jan Hamaekers and Dirk Lorenz and G. Kutyniok and Rick Oerder and Chirag Varun Shukla},
  chapter = {On the interplay of subset selection and informed graph neural networks},
  title = {Informed Machine Learning},
  publisher = {Springer Verlag},
  year = {2025},
  doi = {10.1007/978-3-031-83097-6}
}


@INBOOK{Herrholz2014_37239,
  author = {Evelyn Herrholz and Dirk Lorenz and Gerd Teschke and Dennis Trede},
  chapter = {Sparsity and compressed sensing in inverse problems},
  title = {Extraction of Quantifiable Information from Complex Systems},
  editor = {Stephan Dahlke and Wolfang Dahmen and Michael Griebel and Wolfgang Hackbusch and Klaus Ritter and Reinhold Schneider and Christoph Schwab and Harry Yserentant},
  series = {Lecture Notes in Computational Science and Engineering},
  pages = {365-379},
  publisher = {Springer Verlag},
  year = {2014}
}


@INBOOK{Bauer2010_52cc7,
  author = {G. J. Bauer and Dirk Lorenz and Peter Maaß and H. Preckel and Dennis Trede},
  chapter = {Compounds, Drugs and Mathematical Image Processing},
  title = {Production Factor Mathematics},
  editor = {M. Grötschel and K. Lucas and Volker Mehrmann},
  pages = {379-392},
  publisher = {Springer Verlag},
  year = {2010},
  doi = {10.1007/978-3-642-11248-5_20}
}


@INBOOK{Dahlke2008_cceec,
  author = {Stephan Dahlke and Peter Maaß and Gerd Teschke and K. Koch and Dirk Lorenz and S. Müller and Stefan Schiffler and A. Stämpfli and Herbert Thiele and M. Werner},
  chapter = {Multiscale Approximation},
  title = {Mathematical Methods in Time Series Analysis and Digital Image Processing},
  editor = {R. Dahlhaus and J. Kurths and Peter Maaß and J. Timmer},
  pages = {75-109},
  publisher = {Springer Verlag},
  year = {2008}
}


@INBOOK{Bauer2008_f1be5,
  author = {G. J. Bauer and Dirk Lorenz and Peter Maaß and H. Preckel and Dennis Trede},
  chapter = {Wirkstoffe, Medikamente und mathematische Bildverarbeitung},
  title = {Produktionsfaktor Mathematik - wie Mathematik Technik und Wirtschaft bewegt},
  editor = {M. Grötschel and K. Lucas and Volker Mehrmann},
  series = {acatech DISKUTIERT},
  pages = {461-477},
  publisher = {acatech - Deutsche Akademie der Technikwissenschaften},
  year = {2008},
  doi = {10.1007/978-3-540-89435-3_20}
}


@INBOOK{Bredies2004_857fa,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß and Gerd Teschke},
  chapter = {A partial differential equation for continuous non-linear shrinkage filtering and its application for analyzing MMG data.},
  title = {Wavelet Applications in Industrial Processing},
  editor = {Frederic Truchetet},
  series = {5266},
  pages = {84-93},
  publisher = {SPIE},
  year = {2004},
  doi = {10.1117/12.515945}
}


@ARTICLE{Lorenz2025_a56e7,
  author = {Dirk Lorenz and Maximilian Winkler},
  title = {Minimal error momentum Bregman-Kaczmarz},
  journal = {Linear Algebra and its Applications},
  volume = {709},
  pages = {416-448},
  publisher = {Elsevier},
  year = {2025},
  doi = {10.1016/j.laa.2025.01.024}
}


@ARTICLE{Lorenz2025_7fecb,
  author = {Dirk Lorenz and Ewa Bednarczuk and The Hung Tran},
  title = {Proximal Algorithms for a class of abstract convex functions},
  journal = {Set-Valued and Variational Analysis},
  volume = {33},
  number = {5},
  pages = {1-44},
  publisher = {Springer Verlag},
  year = {2025},
  doi = {10.1007/s11228-025-00743-9}
}


@ARTICLE{Gower2024_50810,
  author = {Robert Gower and Dirk Lorenz and Maximilian Winkler},
  title = {A Bregman-Kaczmarz method for nonlinear systems of equations},
  journal = {Computational Optimization and Applications},
  volume = {87},
  pages = {1059-1098},
  year = {2024},
  doi = { 10.1007/s10589-023-00541-9}
}


@ARTICLE{Tondji2024_5e0a1,
  author = {Lionel Tondji and Ion Necoara and Dirk Lorenz},
  title = {Acceleration and restart for the randomized Bregman-Kaczmarz method.},
  journal = {Linear Algebra and its Applications},
  volume = {699},
  pages = {508-538},
  year = {2024},
  doi = {10.1016/j.laa.2024.07.009}
}


@ARTICLE{Tondji2024_df294,
  author = {Lionel Tondji and Idriss Tondji and Dirk Lorenz},
  title = {Adaptive Bregman-Kaczmarz: An approach to solve linear inverse problems with independent noise exactly},
  journal = {Inverse Problems},
  volume = {40},
  number = {9},
  pages = {095006},
  publisher = {IOPscience},
  year = {2024},
  doi = {10.1088/1361-6420/ad5fb1}
}


@ARTICLE{Brauer2024_f568b,
  author = {Christoph Brauer and Niklas Breustedt and Timo de Wolff and Dirk Lorenz},
  title = {Learning variational models with unrolling and bilevel optimization},
  journal = {Analysis and Applications},
  volume = {22},
  number = {3},
  pages = {569-617},
  publisher = {World Scientific},
  year = {2024},
  doi = {10.1142/S0219530524400037}
}


@ARTICLE{Lorenz2024_56c2a,
  author = {Dirk Lorenz and Jannis Marquardt and Emanuele Naldi},
  title = {The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal-dual Douglas-Rachford},
  journal = {Optimization},
  pages = {1-27},
  publisher = {Taylor & Francis},
  year = {2024},
  doi = {10.1080/02331934.2024.2325552}
}


@ARTICLE{Lorenz2023_c3013,
  author = {Dirk Lorenz and Felix Schneppe},
  title = {Chambolle-Pock’s primal-dual method with mismatched adjoint},
  journal = {Applied Mathematics & Optimization},
  volume = {87},
  number = {22},
  year = {2023},
  doi = {10.1007/s00245-022-09933-5}
}


@ARTICLE{BellamMuralidhar2023_7bfc9,
  author = {Nanda Kishore Bellam Muralidhar and Carmen Gräßle and Natalie Rauter and Andrey Mikhaylenko and Rolf Lammering and Dirk Lorenz},
  title = {Damage identification in fiber metal laminates using bayesian analysis with model order reduction},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  annote = {Part B},
  volume = {403},
  year = {2023},
  doi = {10.1016/j.cma.2022.115737}
}


@ARTICLE{Lorenz2023_467a2,
  author = {Dirk Lorenz and Felix Schneppe and Lionel Tondji},
  title = {Linearly convergent adjoint free solution of least squares problems by random descent},
  journal = {Inverse Problems},
  volume = {39},
  number = {12},
  pages = {125019},
  year = {2023},
  doi = {10.1088/1361-6420/ad08ed}
}


@ARTICLE{Ebner2023_ed201,
  author = {Andrea Ebner and Jürgen Frikel and Dirk Lorenz and Johannes Schwab and Markus Haltmeier},
  title = {Regularization of inverse problems by filtered diagonal frame decomposition.},
  journal = {Applied and Computational Harmonic Analysis},
  volume = {62},
  pages = {66-83},
  year = {2023},
  doi = {10.1016/j.acha.2022.08.005}
}


@ARTICLE{Bredies2022_5d6b7,
  author = {Kristian Bredies and Enis Chenchene and Dirk Lorenz and Emanuele Naldi},
  title = {Degenerate preconditioned proximal point algorithms},
  journal = {SIAM Journal on Optimization},
  volume = {32},
  number = {3},
  year = {2022},
  doi = {10.1137/21M1448112}
}


@ARTICLE{Schoepfer2022_51dc3,
  author = {Frank Schöpfer and Dirk Lorenz and Lionel Tondji and Maximilian Winkler},
  title = {Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems},
  journal = {Linear Algebra and its Applications},
  volume = {652},
  pages = {132-154},
  year = {2022},
  doi = {10.1016/j.laa.2022.07.003}
}


@ARTICLE{Lorenz2022_b9616,
  author = {Dirk Lorenz and Lionel Tondji},
  title = {Faster randomized block sparse Kaczmarz by averaging},
  journal = {Numerical Algorithms},
  volume = {91},
  pages = {1417-1451},
  year = {2022},
  doi = {10.1007/s11075-022-01473-x}
}


@ARTICLE{Ghilli2022_e1d89,
  author = {Daria Ghilli and Dirk Lorenz and Elena Resmerita},
  title = {Nonconvex flexible sparsity regularization: theory and monotone numerical schemes},
  journal = {Optimization},
  volume = {71},
  number = {4},
  pages = {1114-1140},
  year = {2022},
  doi = {10.1080/02331934.2021.2011869}
}


@ARTICLE{Mikhaylenko2022_d8c00,
  author = {Andrey Mikhaylenko and Natalie Rauter and Nanda Kishore Bellam Muralidhar and Tillmann Barth and Dirk Lorenz and Rolf Lammering},
  title = {Numerical analysis of the main wave propagation characteristics in a steel-CFRP laminate including model order reduction},
  journal = {Acoustics},
  volume = {4},
  number = {3},
  pages = {517-537},
  year = {2022},
  doi = {10.3390/acoustics4030032}
}


@ARTICLE{Lorenz2022_b7b21,
  author = {Dirk Lorenz and Hinrich Mahler},
  title = {Orlicz space regularization of continuous optimal transport problems},
  journal = {Applied Mathematics & Optimization},
  volume = {85},
  number = {14},
  year = {2022},
  doi = {10.1007/s00245-022-09826-7}
}


@ARTICLE{Clason2021_7cb47,
  author = {Christian Clason and Dirk Lorenz and Hinrich Mahler and Benedikt Wirth},
  title = {Entropic regularization of continuous optimal transport problems},
  journal = {Journal of Mathematical Analysis and Applications},
  volume = {494},
  number = {1},
  year = {2021},
  doi = {10.1016/j.jmaa.2020.124432}
}


@ARTICLE{Schneppe2021_4dcf9,
  author = {Felix Schneppe and Dirk Lorenz},
  title = {Parameter estimation for orthogonal polynomial moments},
  journal = {PAMM},
  volume = {20},
  number = {1},
  publisher = {Wiley},
  year = {2021},
  doi = {10.1002/pamm.202000253}
}


@ARTICLE{BellamMuralidhar2021_17c3f,
  author = {Nanda Kishore Bellam Muralidhar and Natalie Rauter and Andrey Mikhaylenko and Rolf Lammering and Dirk Lorenz},
  title = {Parametric model order reduction of guided ultrasonic wave propagation in fiber metal laminates with damage},
  journal = {Modelling},
  volume = {2},
  number = {4},
  pages = {591-608},
  year = {2021},
  doi = {10.3390/modelling2040031}
}


@ARTICLE{Lorenz2021_f3009,
  author = {Dirk Lorenz and Christian Meyer and Paul Manns},
  title = {Quadratically regularized optimal transport},
  journal = {Applied Mathematics & Optimization},
  volume = {83},
  pages = {1919-1949},
  year = {2021},
  doi = {10.1007/s00245-019-09614-w}
}


@ARTICLE{Brauer2020_bf92d,
  author = {Christoph Brauer and Dirk Lorenz},
  title = {Complexity and applications of the homotopy principle for uniformly constrained sparse minimization},
  journal = {Applied Mathematics & Optimization},
  volume = {82},
  number = {3},
  pages = {1-34},
  year = {2020},
  doi = {10.1007/s00245-019-09565-2}
}


@ARTICLE{Komander2019_ac3e2,
  author = {Birgit Komander and Dirk Lorenz and Lena Vestweber},
  title = {Denoising of image gradients and total generalized variation denoising},
  journal = {Journal of Mathematical Imaging and Vision},
  volume = {61},
  number = {1},
  pages = {21-39},
  year = {2019},
  doi = {10.1007/s10851-018-0819-8}
}


@ARTICLE{Schoepfer2019_f1f41,
  author = {Frank Schöpfer and Dirk Lorenz},
  title = {Linear convergence of the Randomized Sparse Kaczmarz method},
  journal = {Mathematical Programming},
  volume = {173},
  number = {1},
  pages = {509-536},
  year = {2019},
  doi = {10.1007/s10107-017-1229-1}
}


@ARTICLE{Lorenz2019_99b87,
  author = {Dirk Lorenz and Quoc Tran-Dinh},
  title = {Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive stepsizes and convergence},
  journal = {Computational Optimization and Applications},
  volume = {74},
  number = {1},
  pages = {67-92},
  year = {2019},
  doi = {10.1007/s10589-019-00106-9}
}


@ARTICLE{Brauer2018_bbd94,
  author = {Christoph Brauer and Dirk Lorenz and Andreas Tillmann},
  title = {A primal-dual homotopy algorithm for ℓ1 -minimization with ℓ∞ -constraints},
  journal = {Computational Optimization and Applications},
  volume = {70},
  pages = {443-478},
  year = {2018},
  doi = {10.1007/s10589-018-9983-4}
}


@ARTICLE{Lorenz2018_39a1d,
  author = {Dirk Lorenz and Lars M. Mescheder},
  title = {An extended Perona-Malik model based on probabilistic models},
  journal = {Journal of Mathematical Imaging and Vision},
  volume = {60},
  number = {1},
  pages = {128-144},
  year = {2018},
  doi = {10.1007/s10851-017-0746-0}
}


@ARTICLE{Lorenz2018_3654b,
  author = {Dirk Lorenz and Karl-Joachim Wirths},
  title = {Sarrus rules for matrix determinants and dihedral groups},
  journal = {The College Mathematics Journal},
  volume = {49},
  number = {5},
  pages = {333-340},
  year = {2018},
  doi = {10.1080/07468342.2018.1526019}
}


@ARTICLE{Lorenz2018_3e737,
  author = {Dirk Lorenz and Sean Rose and Frank Schöpfer},
  title = {The randomized Kaczmarz method with mismatched adjoint},
  journal = {BIT Numerical Mathematics},
  volume = {48},
  number = {4},
  pages = {1079-1098},
  year = {2018},
  doi = {10.1007/s10543-018-0717-x}
}


@ARTICLE{Lorenz2017_5c6f0,
  author = {Dirk Lorenz and Jan Lorenz and Christoph Brauer},
  title = {Rank-optimal weighting or “How to be best in the OECD Better Life Index?”},
  journal = {Social Indicators Research},
  volume = {134},
  pages = {75-92},
  year = {2017},
  doi = {10.1007/s11205-016-1416-0}
}


@ARTICLE{Lorenz2016_b1ad6,
  author = {Dirk Lorenz and Elena Resmerita},
  title = {Flexible sparse regularization},
  journal = {Inverse Problems},
  volume = {33},
  number = {1},
  year = {2016},
  doi = {10.1088/0266-5611/33/1/014002}
}


@ARTICLE{Lorenz2015_abd4b,
  author = {Dirk Lorenz and Thomas Pock},
  title = {An inertial forward-backward method for monotone inclusions},
  journal = {Journal of Mathematical Imaging and Vision},
  volume = {51},
  number = {1},
  pages = {311-325},
  year = {2015},
  doi = {10.1007/s10851-014-0523-2}
}


@ARTICLE{Lorenz2015_01adb,
  author = {Dirk Lorenz and Christian Kruschel},
  title = {Computing and analyzing recoverable supports for sparse reconstruction},
  journal = {Advances in Computational Mathematics},
  volume = {41},
  number = {6},
  pages = {1119-1144},
  year = {2015},
  doi = {10.1007/s10444-015-9403-6}
}


@ARTICLE{Lorenz2015_d1a45,
  author = {Dirk Lorenz and Kristian Bredies and Stefan Reiterer},
  title = {Minimization of non-smooth, non- convex functionals by iterative thresholding},
  journal = {Journal of Optimization Theory and Applications},
  volume = {165},
  number = {1},
  pages = {78-112},
  year = {2015},
  doi = {10.1007/s10957-014-0614-7}
}


@ARTICLE{Lorenz2015_117bb,
  author = {Dirk Lorenz and Andreas Tillmann and Marc E. Pfetsch},
  title = {Solving basis pursuit: Subgra- dient algorithm, heuristic optimality check, and solver comparison},
  journal = {ACM Transactions on Mathematical Software (TOMS)},
  volume = {41},
  number = {2},
  year = {2015},
  doi = {10.1145/2689662}
}


@ARTICLE{Lorenz2014_974dc,
  author = {Dirk Lorenz and Andreas Tillmann and Marc E. Pfetsch},
  title = {An infeasible-point subgradient method using adaptive approximate projections},
  journal = {Computational Optimization and Applications},
  volume = {57},
  number = {2},
  pages = {271-306},
  year = {2014},
  doi = {10.1007/s10589-013-9602-3}
}


@ARTICLE{Lorenz2014_0a02b,
  author = {Dirk Lorenz and Birgit Komander and Marc Fischer and Marcus Petz and Rainer Tutsch},
  title = {Data fusion of surface normals and point coordinates for deflectometric measurements},
  journal = {Journal of Sensors and Sensor Systems},
  volume = {3},
  pages = {281-290},
  year = {2014},
  doi = {10.5194/jsss-3-281-2014}
}


@ARTICLE{Lorenz2014_9b3a0,
  author = {Dirk Lorenz and Jan Lellmann and Carola-Bibiane Schönlieb and Tuomo Valkonen},
  title = {Imaging with Kantorovich-Rubinstein discrepancy},
  journal = {SIAM Journal on Imaging Sciences},
  volume = {7},
  number = {4},
  pages = {2833-2859},
  year = {2014},
  doi = {10.1137/140975528}
}


@ARTICLE{Lorenz2014_4d297,
  author = {Dirk Lorenz and Magnus Matz and Kerstin Schumacher and Kathrin Hatlapatka and Knut Baumann},
  title = {Observer-independent quantification of insulin granule exocytosis and pre-exocytotic mobility by TIRF microscopy},
  journal = {Microscopy and Microanalysis},
  volume = {20},
  number = {1},
  pages = {206-218},
  year = {2014},
  doi = {10.1017/S1431927613013767}
}


@ARTICLE{Herrholz2014_ce67c,
  author = {Evelyn Herrholz and Dirk Lorenz and Gerd Teschke and Dennis Trede},
  title = {Sparsity and Compressed Sensing in Inverse Problems},
  journal = {Lecture Notes in Computational Science and Engineering},
  volume = {102},
  pages = {365-379},
  publisher = {Springer Verlag},
  year = {2014},
  doi = {10.1007/978-3-319-08159-5_18}
}


@ARTICLE{Lorenz2014_4b463,
  author = {Dirk Lorenz and Christian Kruschel and Jakob S. Jørgensen},
  title = {Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT},
  journal = {Inverse Problems in Science and Engineering},
  volume = {23},
  pages = {1283-1305},
  year = {2014},
  doi = {10.1080/17415977.2014.986724}
}


@ARTICLE{Lorenz2014_3a105,
  author = {Dirk Lorenz and Stephan Wenger and Frank Schöpfer},
  title = {The linearized Bregman method via split feasibility problems: Analysis and generalizations},
  journal = {SIAM Journal on Imaging Sciences},
  volume = {2},
  number = {7},
  year = {2014},
  doi = {10.1137/130936269}
}


@ARTICLE{Lorenz2013_9fcaf,
  author = {Dirk Lorenz},
  title = {Constructing test instances for basis pursuit denoising},
  journal = {IEEE Transactions of Signal Processing},
  volume = {61},
  number = {5},
  pages = {1210-1214},
  year = {2013},
  doi = {10.1109/TSP.2012.2236322}
}


@ARTICLE{Lorenz2013_25de2,
  author = {Dirk Lorenz and Stephan Wenger and Marcus Magnor},
  title = {Fast image-based modeling of astronomical nebulae},
  journal = {Computer Graphics Forum},
  volume = {32},
  number = {7},
  year = {2013}
}


@ARTICLE{Lorenz2013_858ee,
  author = {Dirk Lorenz and Nadja Worliczek},
  title = {Necessary conditions for variational regularization schemes},
  journal = {Inverse Problems},
  volume = {29},
  pages = {075016},
  year = {2013},
  doi = {10.1088/0266-5611/29/7/075016}
}


@ARTICLE{Lorenz2012_6038b,
  author = {Dirk Lorenz and Peter Maaß and Quy Muoi Pham},
  title = {Gradient descent for Tikhonov functionals with sparsity constraints: theory and numerical comparison of step size rules},
  journal = {Electronic Transactions on Numerical Analysis},
  volume = {39},
  pages = {437-463},
  year = {2012}
}


@ARTICLE{Lorenz2012_0b107,
  author = {Dirk Lorenz and Stephan Wenger and Marco Ament and Stefan Guthe and Andreas Tillmann and Daniel Weiskopf and Marcus Magnor},
  title = {Visualization of astronomical nebulae via distributed multi-gpu compressed sensing tomography},
  journal = {IEEE Transactions on Visualization and Computer Graphics},
  volume = {18},
  number = {12},
  pages = {2188-2197},
  year = {2012},
  doi = {10.1109/TVCG.2012.281}
}


@ARTICLE{Lorenz2011_89320,
  author = {Dirk Lorenz and Stefan Schiffler and Dennis Trede},
  title = {Beyond convergence rates: exact recovery with the Tikhonov regularization with sparsity constraints},
  journal = {Inverse Problems},
  volume = {27},
  number = {8},
  pages = {085009(17pp)},
  publisher = {IOPscience},
  year = {2011},
  doi = {10.1088/0266-5611/27/8/085009}
}


@ARTICLE{Lorenz2011_6edde,
  author = {Dirk Lorenz and Kanglin Chen},
  title = {Image sequence interpolation using optimal control},
  journal = {Journal of Mathematical Imaging and Vision},
  volume = {41},
  number = {3},
  pages = {222-238},
  year = {2011},
  doi = {10.1007/s10851-011-0274-2}
}


@ARTICLE{Lorenz2011_ed268,
  author = {Dirk Lorenz and Elena Resmerita and Klaus Frick},
  title = {Morozov’s principle for the augmented Lagrangian method applied to linear inverse problems},
  journal = {Multiscale Modeling & Simulation},
  volume = {9},
  number = {4},
  pages = {1528-1548},
  year = {2011},
  doi = {10.1137/100812835}
}


@ARTICLE{Lorenz2010_69846,
  author = {Dirk Lorenz},
  title = {A projection proximal-point algorithm for ℓ¹ -minimization},
  journal = {Numerical Functional Analysis and Optimization},
  volume = {31},
  number = {2},
  pages = {172-190},
  year = {2010},
  doi = {10.1080/01630560903381712}
}


@ARTICLE{Lorenz2010_079f4,
  author = {Dirk Lorenz and Arnd Rösch},
  title = {Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems},
  journal = {Applicable Analysis - An International Journal},
  volume = {89},
  number = {11},
  pages = {1679-1692},
  year = {2010},
  doi = {10.1080/00036811.2010.496360}
}


@ARTICLE{Lorenz2010_aa19b,
  author = {Dirk Lorenz and Bangti Jin},
  title = {Heuristic parameter-choice rules for convex variational regularization based on error estimates},
  journal = {SIAM Journal on Numerical Analysis},
  volume = {48},
  number = {3},
  pages = {1208-1229},
  year = {2010},
  doi = {10.1137/100784369}
}


@ARTICLE{Lorenz2010_9ee60,
  author = {Dirk Lorenz and Kanglin Chen},
  title = {Image sequence interpolation based on optical flow, segmentation, and optimal control},
  journal = {IEEE Transactions on Image Processing},
  volume = {21},
  number = {3},
  pages = {1020-1030},
  year = {2010},
  doi = {10.1109/TIP.2011.2179305}
}


@ARTICLE{Lorenz2010_8c4f1,
  author = {Dirk Lorenz and Jan Lorenz},
  title = {On conditions for convergence to consensus},
  journal = {IEEE Transactions on Automatic Control},
  volume = {55},
  number = {7},
  pages = {1651-1656},
  year = {2010},
  doi = {10.1109/TAC.2010.2046086}
}


@ARTICLE{Bredies2009_95243,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {A generalized conditional gradient method and its connection to an iterative shrinkage method},
  journal = {Computational Optimization and Applications},
  volume = {42},
  number = {2},
  pages = {173-193},
  publisher = {Springer Verlag},
  year = {2009},
  doi = {10.1007/s10589-007-9083-3}
}


@ARTICLE{Jin2009_b55ce,
  author = {Bangti Jin and Dirk Lorenz and Stefan Schiffler},
  title = {Elastic-Net Regularization: Error estimates and Active Set Methods},
  journal = {Inverse Problems},
  volume = {25},
  number = {11},
  year = {2009},
  doi = {10.1088/0266-5611/25/11/115022}
}


@ARTICLE{Denis2009_8f2c9,
  author = {Loïc Denis and Dirk Lorenz and Dennis Trede},
  title = {Greedy Solution of Ill-Posed Problems: Error Bounds and Exact Inversion},
  journal = {Inverse Problems},
  volume = {25},
  number = {11},
  pages = {115017(24pp)},
  year = {2009},
  doi = {10.1088/0266-5611/25/11/115017}
}


@ARTICLE{Denis2009_81e56,
  author = {Loïc Denis and Dirk Lorenz and Eric Thiébaut and Corinne Fournier and Dennis Trede},
  title = {Inline hologram reconstruction with sparsity constraints},
  journal = {Optics Letters},
  volume = {34},
  number = {22},
  pages = {3475-3477},
  year = {2009},
  doi = {10.1364/OL.34.003475}
}


@ARTICLE{Lorenz2009_f125f,
  author = {Dirk Lorenz},
  title = {On the role of sparsity in inverse problems},
  journal = {Journal of Inverse and Ill-posed Problems},
  volume = {17},
  number = {1},
  pages = {69-76},
  year = {2009},
  doi = {10.1515/JIIP.2009.007}
}


@ARTICLE{Lorenz2009_e9e61,
  author = {Dirk Lorenz and Kristian Bredies},
  title = {Regularization with non-convex separable constraints},
  journal = {Inverse Problems},
  volume = {25},
  number = {8},
  pages = {085011},
  year = {2009},
  doi = {10.1088/0266-5611/25/8/085011}
}


@ARTICLE{Lorenz2008_e062d,
  author = {Dirk Lorenz and Roland Griesse},
  title = {A semismooth Newton method for Tikhonov functionals with sparsity constraints},
  journal = {Inverse Problems},
  volume = {24},
  number = {3},
  pages = {035007},
  year = {2008},
  doi = {10.1088/0266-5611/24/3/035007}
}


@ARTICLE{Lorenz2008_e8b63,
  author = {Dirk Lorenz},
  title = {Convergence rates and source conditions for Tikhonov regularization with sparsity constraints},
  journal = {Journal of Inverse and Ill-posed Problems},
  volume = {16},
  number = {5},
  pages = {463-478},
  year = {2008},
  doi = {10.1515/JIIP.2008.025}
}


@ARTICLE{Bredies2008_c8b84,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Iterated hard shrinkage for minimization problems with sparsity constraints},
  journal = {SIAM Journal on Scientific Computing},
  volume = {30},
  number = {2},
  pages = {657-683},
  year = {2008}
}


@ARTICLE{Bredies2008_d2032,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {Linear Convergence of iterative soft-thresholding},
  journal = {Journal of Fourier Analysis and Applications},
  volume = {14},
  number = {5},
  pages = {813-837},
  publisher = {Springer Verlag},
  year = {2008},
  doi = {10.1007/s00041-008-9041-1}
}


@ARTICLE{Bredies2008_0ebc4,
  author = {Kristian Bredies and Dirk Lorenz},
  title = {On the convergence speed of iterative methods for linear inverse problems with sparsity constraints},
  journal = {Journal of Physics, Conference Series},
  volume = {124},
  number = {1},
  pages = {2031-2043},
  year = {2008}
}


@ARTICLE{Lorenz2008_11b45,
  author = {Dirk Lorenz and Dennis Trede},
  title = {Optimal Convergence Rates for Tikhonov Regularization in Besov Scales},
  journal = {Inverse Problems},
  volume = {24},
  number = {5},
  pages = {055010(14pp)},
  year = {2008},
  doi = {10.1088/0266-5611/24/5/055010}
}


@ARTICLE{Dahlke2008_5e60a,
  author = {Stephan Dahlke and Dirk Lorenz and Peter Maaß and C. Sagiv and Gerd Teschke},
  title = {The Canonical Coherent States Associated With Quotients of the Affine Weyl-Heisenberg Group},
  journal = {Journal of Applied Functional Analysis},
  volume = {3},
  number = {2},
  pages = {215-232},
  year = {2008}
}


@ARTICLE{Bredies2007_656ad,
  author = {Kristian Bredies and Thomas Bonesky and Dirk Lorenz and Peter Maaß},
  title = {A Generalized Conditional Gradient Method for Non-Linear Operator Equations with Sparsity Constraints},
  journal = {Inverse Problems},
  volume = {23},
  pages = {2041-2058},
  year = {2007}
}


@ARTICLE{Bonesky2007_b45dc,
  author = {Thomas Bonesky and Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {A generalized conditional gradient method for nonlinear operator equations with sparsity constraints},
  journal = {Inverse Problems},
  volume = {23},
  number = {5},
  year = {2007},
  doi = {10.1088/0266-5611/23/5/014}
}


@ARTICLE{Lorenz2007_14eca,
  author = {Dirk Lorenz},
  title = {Non-convex variational denoising of images: Interpolation between hard and soft wavelet shrinkage},
  journal = {Current Developments in Theory and Applications of Wavelets},
  volume = {1},
  number = {1},
  pages = {31-56},
  year = {2007}
}


@ARTICLE{Klann2007_ddeaa,
  author = {Esther Klann and Dirk Lorenz and Peter Maaß and Herbert Thiele},
  title = {Shrinkage versus Deconvolution},
  journal = {Inverse Problems},
  volume = {23},
  pages = {2231-2248},
  year = {2007},
  doi = {10.1088/0266-5611/23/5/025}
}


@ARTICLE{Lorenz2007_e5854,
  author = {Dirk Lorenz},
  title = {Solving variational methods in image processing via projections - a common view on T V -denoising and wavelet shrinkage},
  journal = {Zeitschrift für angewandte Mathematik und Mechanik},
  volume = {87},
  number = {1},
  pages = {247-256},
  year = {2007},
  doi = {10.1002/zamm200610300}
}


@ARTICLE{Bredies2006_b8a84,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {An optimal control problem in medical image processing},
  journal = {Systems, Control, Modeling and Optimization},
  volume = {202},
  pages = {249-259},
  publisher = {Springer Verlag},
  year = {2006},
  doi = {10.1007/0-387-33882-9_23}
}


@ARTICLE{Bredies2005_ee8a9,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {Mathematical Concepts of Multiscale Smoothing},
  journal = {Applied and Computational Harmonic Analysis},
  volume = {19},
  number = {2},
  pages = {141-161},
  publisher = {Elsevier},
  year = {2005},
  doi = {10.1016/j.acha.2005.02.007}
}





@CONFERENCE{Tondji2023_ebea7,
  author = {Lionel Tondji and Dirk Lorenz and Ion Necoara},
  title = {An accelerated randomized Bregman-Kaczmarz method for strongly convex linearly constraint optimization},
  booktitle = {2023 European Control Conference (ECC)},
  year = {2023},
  doi = {10.23919/ECC57647.2023.10178390}
}


@CONFERENCE{Brauer2022_24736,
  author = {Christoph Brauer and Dirk Lorenz and Lionel Tondji},
  title = {Group equivariant networks for leakage detection in vacuum bagging},
  booktitle = {30th European Signal Processing Confer- ence, EUSIPCO 2022},
  pages = {1437-1441},
  year = {2022}
}


@CONFERENCE{BellamMuralidhar2021_ae72a,
  author = {Nanda Kishore Bellam Muralidhar and Dirk Lorenz},
  title = {A model-based damage identification using guided ultrasonic wave propagation in fiber metal laminates},
  booktitle = {VI ECCOMAS Young Investigators Conference YIC2021},
  year = {2021}
}


@CONFERENCE{Brauer2019_538d6,
  author = {Christoph Brauer and Dirk Lorenz},
  title = {Ergodic bilevel oprimization},
  booktitle = {SPARS 2019},
  year = {2019}
}


@CONFERENCE{Brauer2019_fa727,
  author = {Christoph Brauer and Dirk Lorenz and Andreas Tillmann},
  title = {Exact recovery of partially sparse vectors},
  booktitle = {SPARS 2019},
  year = {2019}
}


@CONFERENCE{Lorenz2019_822ec,
  author = {Dirk Lorenz and Elena Resmerita},
  title = {Flexible sparse regularization with general non-convex penalties},
  booktitle = {SPARS 2019},
  year = {2019}
}


@CONFERENCE{Brauer2019_3e582,
  author = {Christoph Brauer and Ziyue Zhao and Dirk Lorenz and Tim Fingscheidt},
  title = {Learning to dequantize speech signals by primal-dual networks: an approach for acoustic sensor networks},
  booktitle = {IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
  pages = {7000-7004},
  year = {2019},
  doi = {10.1109/ICASSP.2019.8683341}
}


@CONFERENCE{Lorenz2019_6647f,
  author = {Dirk Lorenz and Hinrich Mahler},
  title = {Orlicz-space regularization for optimal transport and algorithms for quadratic regularization},
  booktitle = {NeurIPS Workshop on Optimal Transport and Machine Learning, Vancouver, Kanada},
  year = {2019}
}


@CONFERENCE{Brauer2017_648c5,
  author = {Christoph Brauer and Christian Clason and Dirk Lorenz and Benedikt Wirth},
  title = {A Sinkhorn-Newton method for entropic optimal transport.},
  booktitle = {NIPS Workshop on Optimal Transport and Machine Learning},
  year = {2017}
}


@CONFERENCE{Komander2017_880a0,
  author = {Birgit Komander and Dirk Lorenz},
  title = {Denoising of image gradients and constrained total generalized variation},
  booktitle = {International Conference on Scale Space and Variational Methods in Computer Vision,},
  pages = {435-446},
  year = {2017},
  doi = {10.1007/978-3-319-58771-4_35}
}


@CONFERENCE{Brauer2016_12167,
  author = {Christoph Brauer and Dirk Lorenz and Timo Gerkmann},
  title = {Sparse reconstruction of quantized speech signals},
  booktitle = {IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
  pages = {5940-5944},
  year = {2016},
  doi = {10.1109/ICASSP.2016.7472817}
}


@CONFERENCE{Brauer2015_eb5c5,
  author = {Christoph Brauer and Dirk Lorenz},
  title = {Cartoon-texture-noise decomposition with transport norms},
  booktitle = {Scale Space and Variational Methods},
  pages = {142-153},
  year = {2015},
  doi = {10.1007/978-3-319-18461-6_12}
}


@CONFERENCE{Lorenz2014_fa92b,
  author = {Dirk Lorenz and Frank Schöpfer and Stephan Wenger and Marcus Magnor},
  title = {sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing},
  booktitle = {IEEE International Conference on Image Processing},
  year = {2014},
  doi = {10.1109/ICIP.2014.7025269}
}


@CONFERENCE{Lorenz2013_39fd1,
  author = {Dirk Lorenz and Eileen Laue},
  title = {Variational methods for motion deblurring with still background},
  booktitle = {Scale Space and Variational Methods},
  volume = {7893},
  pages = {74-85},
  year = {2013},
  doi = {10.1007/978-3-642-38267-3_7}
}


@CONFERENCE{Alexandrov2009_5f5e8,
  author = {Fedor Alexandrov and Oliver Keszöcze and Stefan Schiffler and Klaus Steinhorst and Dirk Lorenz},
  title = {An active set approach to the elastic-net and its applications in mass spectrometry},
  booktitle = {Second Workshop "Signal Processing with Adaptive Sparse Structured Representations" (SPARS′09), 06.04.-09.04.2009, St. Malo, Frankreich},
  year = {2009}
}


@CONFERENCE{Lorenz2009_2f444,
  author = {Dirk Lorenz and Jan Lorenz},
  title = {Convergence to consensus by general averaging},
  booktitle = {POSTA 09},
  pages = {91-100},
  year = {2009},
  doi = {10.1007/978-3-642-02894-6_9}
}


@CONFERENCE{Lorenz2009_f08f2,
  author = {Dirk Lorenz and Dennis Trede},
  title = {Greedy Deconvolution of Point-like Objects},
  booktitle = {Second Workshop "Signal Processing with Adaptive Sparse Structured Representations" (SPARS′09), 06.04.-09.04.2009, St. Malo, Frankreich},
  year = {2009}
}


@CONFERENCE{Lorenz2009_11b45,
  author = {Dirk Lorenz and Dennis Trede},
  title = {Optimal Convergence Rates for Tikhonov Regularization in Besov Scales},
  booktitle = {4th International Conference on Inverse Problems: Modeling and Simulation, 26.05.-30.05.2008, Fethiye, Türkei},
  volume = {17},
  number = {1},
  pages = {69-76},
  year = {2009},
  doi = {10.1515/JIIP.2009.008}
}


@CONFERENCE{Lorenz2008_cc6ce,
  author = {Dirk Lorenz and Kristian Bredies},
  title = {Iterated hard-thresholding for linear inverse prob- lems with sparsity constraints},
  booktitle = {PAMM},
  pages = {2060061-2060062},
  year = {2008}
}


@CONFERENCE{Bredies2008_6f4aa,
  author = {Kristian Bredies and Fedor Alexandrov and J. Decker and Dirk Lorenz and Herbert Thiele},
  title = {Sparse deconvolution for peak picking and ion charge estimation in mass spectrometry},
  booktitle = {15th European Conference on Mathematics in Industry'08, 30.06.-04.07.2008, London, Großbritannien},
  year = {2008}
}


@CONFERENCE{Lorenz2008_701eb,
  author = {Dirk Lorenz and Peter Maaß and H. Preckel and Dennis Trede},
  title = {Topology-preserving geodesic active contours for segmentation of high-content fluorescent cellular imaging},
  booktitle = {79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 31.03-04.04.2008, Bremen, Deutschland},
  volume = {8},
  number = {1},
  pages = {10941-10942},
  year = {2008},
  doi = {10.1002/pamm.200810941}
}


@CONFERENCE{Bredies2006_b3b9a,
  author = {Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {An optimal control problem in image processing},
  booktitle = {PAMM},
  volume = {6},
  number = {1},
  pages = {859-860},
  year = {2006},
  doi = {10.1002/pamm200610409}
}


@CONFERENCE{Bonesky2006_d6ec5,
  author = {Thomas Bonesky and Kristian Bredies and Dirk Lorenz and Peter Maaß},
  title = {On the minimization of non-convex, non-differentiable functionals with an application to SPECT},
  booktitle = {Oberwolfach Report: Mathematical Methods in Tomography},
  volume = {34},
  pages = {18-22},
  year = {2006}
}


@CONFERENCE{Brauer_24736,
  author = {Christoph Brauer and Dirk Lorenz and Lionel Tondji},
  title = {Group equivariant networks for leakage detection in vacuum bagging},
  booktitle = {30th European Signal Processing Confer- ence, EUSIPCO 2022},
  pages = {1437-1441}
}