Dirk A. Lorenz

2.5k total citations · 1 hit paper
69 papers, 1.5k citations indexed

About

Dirk A. Lorenz is a scholar working on Computational Mechanics, Mathematical Physics and Computer Vision and Pattern Recognition. According to data from OpenAlex, Dirk A. Lorenz has authored 69 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Computational Mechanics, 25 papers in Mathematical Physics and 19 papers in Computer Vision and Pattern Recognition. Recurrent topics in Dirk A. Lorenz's work include Sparse and Compressive Sensing Techniques (37 papers), Numerical methods in inverse problems (25 papers) and Image and Signal Denoising Methods (12 papers). Dirk A. Lorenz is often cited by papers focused on Sparse and Compressive Sensing Techniques (37 papers), Numerical methods in inverse problems (25 papers) and Image and Signal Denoising Methods (12 papers). Dirk A. Lorenz collaborates with scholars based in Germany, Austria and Romania. Dirk A. Lorenz's co-authors include Kristian Bredies, Thomas Pock, Dennis Trede, Peter Maaß, Laurent Denis, Frank Schöpfer, Jan Lorenz, Kanglin Chen, Corinne Fournier and Éric Thiébaut and has published in prestigious journals such as SHILAP Revista de lepidopterología, IEEE Transactions on Automatic Control and IEEE Transactions on Image Processing.

In The Last Decade

Dirk A. Lorenz

64 papers receiving 1.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

An Inertial Forward-Backward Algorithm for Monotone Inclusions

2014 293 citations Dirk A. Lorenz, Thomas Pock Journal of Mathematical Imaging and Vision profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Dirk A. Lorenz Germany	20	716	544	380	310	298	69	1.5k
James G. Nagy United States	26	905 1.3×	729 1.3×	368 1.0×	1.1k 3.5×	160 0.5×	107	2.5k
Sergei V. Pereverzev Austria	23	489 0.7×	1.3k 2.5×	329 0.9×	242 0.8×	264 0.9×	94	1.9k
Valérie R. Wajs France	2	1.2k 1.7×	439 0.8×	463 1.2×	654 2.1×	370 1.2×	2	1.9k
Folkmar Bornemann Germany	23	620 0.9×	227 0.4×	367 1.0×	167 0.5×	293 1.0×	60	1.7k
Luca Zanni Italy	18	615 0.9×	249 0.5×	200 0.5×	469 1.5×	335 1.1×	56	1.3k
Laurent Condat France	16	738 1.0×	178 0.3×	234 0.6×	915 3.0×	222 0.7×	57	1.9k
Marco Donatelli Italy	21	633 0.9×	362 0.7×	491 1.3×	372 1.2×	340 1.1×	102	1.4k
Shoham Sabach Israel	18	870 1.2×	250 0.5×	1.0k 2.6×	414 1.3×	773 2.6×	37	2.1k
Mark Rudelson United States	20	1.0k 1.5×	333 0.6×	236 0.6×	290 0.9×	89 0.3×	46	2.3k

Countries citing papers authored by Dirk A. Lorenz

Since Specialization

Citations

This map shows the geographic impact of Dirk A. Lorenz's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dirk A. Lorenz with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dirk A. Lorenz more than expected).

Fields of papers citing papers by Dirk A. Lorenz

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dirk A. Lorenz. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dirk A. Lorenz. The network helps show where Dirk A. Lorenz may publish in the future.

Co-authorship network of co-authors of Dirk A. Lorenz

This figure shows the co-authorship network connecting the top 25 collaborators of Dirk A. Lorenz. A scholar is included among the top collaborators of Dirk A. Lorenz based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dirk A. Lorenz. Dirk A. Lorenz is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Lorenz, Dirk A., et al.. (2025). A general framework for inexact splitting algorithms with relative errors and applications to Chambolle–Pock and Davis–Yin methods. Computational Optimization and Applications. 93(2). 729–763.

Bednarczuk, Ewa M., et al.. (2025). Proximal Algorithms for a Class of Abstract Convex Functions. Set-Valued and Variational Analysis. 33(1).

Necoara, Ion, et al.. (2024). Acceleration and restart for the randomized Bregman-Kaczmarz method. Linear Algebra and its Applications. 699. 508–538. 4 indexed citations

Lorenz, Dirk A., et al.. (2024). Adaptive Bregman–Kaczmarz: an approach to solve linear inverse problems with independent noise exactly. Inverse Problems. 40(9). 95006–95006. 3 indexed citations

Wolff, Timo de, et al.. (2024). Learning variational models with unrolling and bilevel optimization. Analysis and Applications. 22(3). 569–617.

Lorenz, Dirk A., et al.. (2023). Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint. Applied Mathematics & Optimization. 87(2). 3 indexed citations

Gower, Robert M., et al.. (2023). A Bregman–Kaczmarz method for nonlinear systems of equations. Computational Optimization and Applications. 87(3). 1059–1098. 9 indexed citations

Lorenz, Dirk A., et al.. (2022). Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction. SHILAP Revista de lepidopterología. 4(3). 517–537. 5 indexed citations

Lammering, Rolf, et al.. (2022). Damage identification in fiber metal laminates using Bayesian analysis with model order reduction. Computer Methods in Applied Mechanics and Engineering. 403. 115737–115737. 13 indexed citations

10.

Lorenz, Dirk A., et al.. (2022). Faster randomized block sparse Kaczmarz by averaging. Numerical Algorithms. 93(4). 1417–1451. 20 indexed citations

11.

Lorenz, Dirk A., et al.. (2022). Orlicz Space Regularization of Continuous Optimal Transport Problems. Applied Mathematics & Optimization. 85(2). 7 indexed citations

12.

Schöpfer, Frank, et al.. (2022). Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems. Linear Algebra and its Applications. 652. 132–154. 17 indexed citations

13.

Bredies, Kristian, et al.. (2022). Degenerate Preconditioned Proximal Point Algorithms. SIAM Journal on Optimization. 32(3). 2376–2401. 19 indexed citations

14.

Lorenz, Dirk A., et al.. (2021). Nonconvex flexible sparsity regularization: theory and monotone numerical schemes. Optimization. 71(4). 1117–1149. 1 indexed citations

15.

Lammering, Rolf, et al.. (2021). Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage. SHILAP Revista de lepidopterología. 2(4). 591–608. 8 indexed citations

16.

Clason, Christian, et al.. (2020). Entropic regularization of continuous optimal transport problems. Journal of Mathematical Analysis and Applications. 494(1). 124432–124432. 27 indexed citations

17.

Lorenz, Dirk A., et al.. (2018). A primal-dual homotopy algorithm for $$\ell _{1}$$-minimization with $$\ell _{\infty }$$-constraints. Computational Optimization and Applications. 70(2). 443–478. 6 indexed citations

18.

Mescheder, Lars & Dirk A. Lorenz. (2017). An Extended Perona–Malik Model Based on Probabilistic Models. Journal of Mathematical Imaging and Vision. 60(1). 128–144. 2 indexed citations

19.

Lorenz, Dirk A. & Thomas Pock. (2014). An accelerated forward-backward algorithm for monotone inclusions.. arXiv (Cornell University). 7 indexed citations

20.

Lorenz, Dirk A.. (2003). Variational Denoising in Besov Spaces and Interpolation of Hard and Soft Wavelet Shrinkage. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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