Martin Burger

ORCID

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 67

Top Venues

CoRR

SSVM

SIAM J. Appl. Math.

J. Math. Imaging Vis.

Publications

Jonathan Brokman, Martin Burger, Guy Gilboa
Spectral Total-variation Processing of Shapes - Theory and Applications. ACM Trans. Graph. 43 (2) (2024)
Ariane Fazeny, Daniel Tenbrinck, Kseniia Lukin, Martin Burger
Hypergraph p-Laplacians and Scale Spaces. J. Math. Imaging Vis. 66 (4) (2024)
Samira Kabri, Tim Roith, Daniel Tenbrinck, Martin Burger
Resolution-Invariant Image Classification Based on Fourier Neural Operators. SSVM (2023)
Martin Burger, Samira Kabri
Learned Regularization for Inverse Problems: Insights from a Spectral Model. CoRR (2023)
Tjeerd Jan Heeringa, Tim Roith, Christoph Brune, Martin Burger
Learning a Sparse Representation of Barron Functions with the Inverse Scale Space Flow. CoRR (2023)
Ariane Fazeny, Daniel Tenbrinck, Martin Burger
Hypergraph p-Laplacians, Scale Spaces, and Information Flow in Networks. CoRR (2023)
Samira Kabri, Tim Roith, Daniel Tenbrinck, Martin Burger
Resolution-Invariant Image Classification based on Fourier Neural Operators. CoRR (2023)
Ariane Fazeny, Daniel Tenbrinck, Martin Burger
Hypergraph p-Laplacians, Scale Spaces, and Information Flow in Networks. SSVM (2023)
Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. SIAM J. Appl. Math. 82 (3) (2022)
Samira Kabri, Alexander Auras, Danilo Riccio, Hartmut Bauermeister, Martin Benning, Michael Moeller, Martin Burger
Convergent Data-driven Regularizations for CT Reconstruction. CoRR (2022)
Leon Bungert, Tim Roith, Daniel Tenbrinck, Martin Burger
A Bregman Learning Framework for Sparse Neural Networks. J. Mach. Learn. Res. 23 (2022)
Martin Burger, Alex Rossi
Analysis of Kinetic Models for Label Switching and Stochastic Gradient Descent. CoRR (2022)
Jonathan Brokman, Martin Burger, Guy Gilboa
Spectral Total-Variation Processing of Shapes - Theory and Applications. CoRR (2022)
Protim Bhattacharjee, Martin Burger, Anko Börner, Veniamin I. Morgenshtern
Region-of-Interest Prioritised Sampling for Constrained Autonomous Exploration Systems. IEEE Trans. Computational Imaging 8 (2022)
Maria Bruna, Martin Burger, Antonio Esposito, Simon M. Schulz
Phase Separation in Systems of Interacting Active Brownian Particles. SIAM J. Appl. Math. 82 (4) (2022)
Tatiana A. Bubba, Martin Burger, Tapio Helin, Luca Ratti
Convex regularization in statistical inverse learning problems. CoRR (2021)
Leo Schwinn, An Nguyen, René Raab, Leon Bungert, Daniel Tenbrinck, Dario Zanca, Martin Burger, Bjoern M. Eskofier
Identifying Untrustworthy Predictions in Neural Networks by Geometric Gradient Analysis. CoRR (2021)
Alexandra Koulouri, Pia Heins, Martin Burger
Adaptive Superresolution in Deconvolution of Sparse Peaks. IEEE Trans. Signal Process. 69 (2021)
Leo Schwinn, An Nguyen, René Raab, Dario Zanca, Bjoern M. Eskofier, Daniel Tenbrinck, Martin Burger
Dynamically Sampled Nonlocal Gradients for Stronger Adversarial Attacks. IJCNN (2021)
Martin Burger, René Pinnau, Claudia Totzeck, Oliver Tse
Mean-Field Optimal Control and Optimality Conditions in the Space of Probability Measures. SIAM J. Control. Optim. 59 (2) (2021)
Subhadip Mukherjee, Carola-Bibiane Schönlieb, Martin Burger
Learning convex regularizers satisfying the variational source condition for inverse problems. CoRR (2021)
Leon Bungert, Martin Burger
Gradient Flows, Nonlinear Power Methods, and Computation of Nonlinear Eigenfunctions. CoRR (2021)
Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics. CoRR (2021)
Martin Burger
Variational Regularization in Inverse Problems and Machine Learning. CoRR (2021)
Leo Schwinn, An Nguyen, René Raab, Leon Bungert, Daniel Tenbrinck, Dario Zanca, Martin Burger, Björn M. Eskofier
Identifying untrustworthy predictions in neural networks by geometric gradient analysis. UAI (2021)
Leon Bungert, Tim Roith, Daniel Tenbrinck, Martin Burger
A Bregman Learning Framework for Sparse Neural Networks. CoRR (2021)
Leon Bungert, Tim Roith, Daniel Tenbrinck, Martin Burger
Neural Architecture Search via Bregman Iterations. CoRR (2021)
Byung-Woo Hong, Ja-Keoung Koo, Martin Burger, Stefano Soatto
Adaptive Regularization of Some Inverse Problems in Image Analysis. IEEE Trans. Image Process. 29 (2020)
Martin Burger, Patricia Friele, Jan-Frederik Pietschmann
On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma. SIAM J. Appl. Math. 80 (1) (2020)
Martin Burger, René Pinnau, Claudia Totzeck, Oliver Tse, Andreas Roth
Instantaneous control of interacting particle systems in the mean-field limit. J. Comput. Phys. 405 (2020)
Alexandra Koulouri, Pia Heins, Martin Burger
Adaptive Superresolution in Deconvolution of Sparse Peaks. CoRR (2020)
Martin Burger, Andreas Hauptmann, Tapio Helin, Nuutti Hyvönen, Juha-Pekka Puska
Sequentially optimized projections in X-ray imaging. CoRR (2020)
Leo Schwinn, Daniel Tenbrinck, An Nguyen, René Raab, Martin Burger, Bjoern M. Eskofier
Sampled Nonlocal Gradients for Stronger Adversarial Attacks. CoRR (2020)
Leon Bungert, Martin Burger, Yury Korolev, Carola-Bibiane Schoenlieb
Variational regularisation for inverse problems with imperfect forward operators and general noise models. CoRR (2020)
Martin Burger, Lisa Maria Kreusser, Claudia Totzeck
Mean-field optimal control for biological pattern formation. CoRR (2020)
Leon Bungert, Martin Burger, Daniel Tenbrinck
Computing Nonlinear Eigenfunctions via Gradient Flow Extinction. CoRR (2019)
Eva-Maria Brinkmann, Martin Burger, Joana Sarah Grah
Unified Models for Second-Order TV-Type Regularisation in Imaging: A New Perspective Based on Vector Operators. J. Math. Imaging Vis. 61 (5) (2019)
Martin Burger, Yury Korolev, Simone Parisotto, Carola-Bibiane Schönlieb
Total Variation Regularisation with Spatially Variable Lipschitz Constraints. CoRR (2019)
Martin Burger, Yury Korolev, Carola-Bibiane Schönlieb, Christiane Stollenwerk
A total variation based regularizer promoting piecewise-Lipschitz reconstructions. CoRR (2019)
Leon Bungert, Martin Burger, Daniel Tenbrinck
Computing Nonlinear Eigenfunctions via Gradient Flow Extinction. SSVM (2019)
Daniel Tenbrinck, Fjedor Gaede, Martin Burger
Variational Graph Methods for Efficient Point Cloud Sparsification. CoRR (2019)
Martin Burger, Yury Korolev, Carola-Bibiane Schönlieb, Christiane Stollenwerk
A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions. SSVM (2019)
Martin Burger, Janic Föcke, Lukas Nickel, Peter Jung, Sven Augustin
Reconstruction Methods in THz Single-pixel Imaging. CoRR (2019)
Martin Burger, Elena Resmerita, Martin Benning
An entropic projection method for linear ill-posed problems. CoRR (2019)
Martin Burger, Marco Di Francesco, Simone Fagioli, Angela Stevens
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species. SIAM J. Math. Anal. 50 (3) (2018)
Martin Burger, Yury Korolev, Julian Rasch
Convergence rates and structure of solutions of inverse problems with imperfect forward models. CoRR (2018)
Martin Benning, Martin Burger
Modern regularization methods for inverse problems. Acta Numer. 27 (2018)
Martin Burger, Hendrik Dirks, Carola-Bibiane Schönlieb
A Variational Model for Joint Motion Estimation and Image Reconstruction. SIAM J. Imaging Sci. 11 (1) (2018)
Chien Van Trinh, Khanh Quoc Dinh, Byeungwoo Jeon, Martin Burger
Block compressive sensing of image and video with nonlocal Lagrangian multiplier and patch-based sparse representation. Signal Process. Image Commun. 54 (2017)
Eva-Maria Brinkmann, Martin Burger, Julian Rasch, Camille Sutour
Bias Reduction in Variational Regularization. J. Math. Imaging Vis. 59 (3) (2017)
Martin Benning, Michael Möller, Raz Z. Nossek, Martin Burger, Daniel Cremers, Guy Gilboa, Carola-Bibiane Schönlieb
Nonlinear Spectral Image Fusion. CoRR (2017)
Martin Benning, Michael Möller, Raz Z. Nossek, Martin Burger, Daniel Cremers, Guy Gilboa, Carola-Bibiane Schönlieb
Nonlinear Spectral Image Fusion. SSVM (2017)
Maria Bruna, Martin Burger, Helene Ranetbauer, Marie-Therese Wolfram
Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures. J. Nonlinear Sci. 27 (2) (2017)
Chien Van Trinh, Khanh Quoc Dinh, Byeungwoo Jeon, Martin Burger
Block Compressive Sensing of Image and Video with Nonlocal Lagrangian Multiplier and Patch-based Sparse Representation. CoRR (2017)
Byung-Woo Hong, Ja-Keoung Koo, Hendrik Dirks, Martin Burger
Adaptive Regularization in Convex Composite Optimization for Variational Imaging Problems. GCPR (2017)
Martin Burger, Ole Løseth Elvetun, Matthias Schlottbom
Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems. Found. Comput. Math. 17 (3) (2017)
Byung-Woo Hong, Ja-Keoung Koo, Martin Burger, Stefano Soatto
Adaptive Regularization of Some Inverse Problems in Image Analysis. CoRR (2017)
Martin Burger, Sabine Hittmeir, Helene Ranetbauer, Marie-Therese Wolfram
Lane Formation by Side-Stepping. SIAM J. Math. Anal. 48 (2) (2016)
Martin Burger, Alexander Lorz, Marie-Therese Wolfram
On a Boltzmann Mean Field Model for Knowledge Growth. SIAM J. Appl. Math. 76 (5) (2016)
Guy Gilboa, Michael Möller, Martin Burger
Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects. J. Math. Imaging Vis. 56 (2) (2016)
Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis, Carola-Bibiane Schönlieb
Spaces - Part I: The Finite p Case. J. Math. Imaging Vis. 55 (3) (2016)
Martin Burger, Hendrik Dirks, Carola-Bibiane Schönlieb
A Variational Model for Joint Motion Estimation and Image Reconstruction. CoRR (2016)
Martin Burger, Guy Gilboa, Michael Möller, Lina Eckardt, Daniel Cremers
Spectral Decompositions using One-Homogeneous Functionals. CoRR (2016)
Byung-Woo Hong, Ja-Keoung Koo, Hendrik Dirks, Martin Burger
Adaptive Parameter Balancing for Composite Optimization Problems in Imaging. CoRR (2016)
Martin Burger, Guy Gilboa, Michael Möller, Lina Eckardt, Daniel Cremers
Spectral Decompositions Using One-Homogeneous Functionals. SIAM J. Imaging Sci. 9 (3) (2016)
Sven Wagner, Felix Lucka, Johannes Vorwerk, Christoph S. Herrmann, G. Nolte, Martin Burger, Carsten H. Wolters
Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem. NeuroImage 140 (2016)
Sven Wagner, Martin Burger, Carsten H. Wolters
An Optimization Approach for Well-Targeted Transcranial Direct Current Stimulation. SIAM J. Appl. Math. 76 (6) (2016)
Martin Burger, Hendrik Dirks, Lena Frerking
On Optical Flow Models for Variational Motion Estimation. CoRR (2015)
Eva-Maria Brinkmann, Martin Burger, Joana Sarah Grah
Regularization with Sparse Vector Fields: From Image Compression to TV-type Reconstruction. SSVM (2015)
Martin Burger, Lina Eckardt, Guy Gilboa, Michael Möller
Spectral Representations of One-Homogeneous Functionals. SSVM (2015)
Martin Burger, Teresa Esposito, Caterina Ida Zeppieri
Second-Order Edge-Penalization in the Ambrosio-Tortorelli functional. Multiscale Model. Simul. 13 (4) (2015)
Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis, Carola-Bibiane Schönlieb
Spaces. The Case p=∞. System Modelling and Optimization (2015)
Guy Gilboa, Michael Möller, Martin Burger
Nonlinear Spectral Analysis via One-homogeneous Functionals - Overview and Future Prospects. CoRR (2015)
Michael Möller, Eva-Maria Brinkmann, Martin Burger, Tamara Seybold
Color Bregman TV. SIAM J. Imaging Sci. 7 (4) (2014)
Martin Burger, Alex Sawatzky, Gabriele Steidl
First order algorithms in variational image processing. CoRR (2014)
Michael Möller, Martin Burger, Peter Dieterich, Albrecht Schwab
A framework for automated cell tracking in phase contrast microscopic videos based on normal velocities. J. Vis. Commun. Image Represent. 25 (2) (2014)
Sebastian Suhr, Daniel Tenbrinck, Martin Burger, Jan Modersitzki
Registration of Noisy Images via Maximum A-Posteriori Estimation. WBIR (2014)
Martin Burger, Razvan Fetecau, Yanghong Huang
Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion. SIAM J. Appl. Dyn. Syst. 13 (1) (2014)
Michael Möller, Martin Burger
Multiscale Methods for Polyhedral Regularizations. SIAM J. Optim. 23 (3) (2013)
Martin Burger, Michael Möller, Martin Benning, Stanley J. Osher
An adaptive inverse scale space method for compressed sensing. Math. Comput. 82 (281) (2013)
Martin Benning, Christoph Brune, Martin Burger, Jahn Müller
Higher-Order TV Methods - Enhancement via Bregman Iteration. J. Sci. Comput. 54 (2-3) (2013)
Martin Burger, Jan Modersitzki, Lars Ruthotto
A Hyperelastic Regularization Energy for Image Registration. SIAM J. Sci. Comput. 35 (1) (2013)
Alex Sawatzky, Daniel Tenbrinck, Xiaoyi Jiang, Martin Burger
A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models. J. Math. Imaging Vis. 47 (3) (2013)
Martin Burger, Marco Di Francesco, Peter A. Markowich, Marie-Therese Wolfram
On a mean field game optimal control approach modeling fast exit scenarios in human crowds. CDC (2013)
Michael Möller, Todd Wittman, Andrea L. Bertozzi, Martin Burger
A Variational Approach for Sharpening High Dimensional Images. SIAM J. Imaging Sci. 5 (1) (2012)
Lars Ruthotto, Fabian Gigengack, Martin Burger, Carsten H. Wolters, Xiaoyi Jiang, Klaus P. Schäfers, Jan Modersitzki
A Simplified Pipeline for Motion Correction in Dual Gated Cardiac PET. Bildverarbeitung für die Medizin (2012)
Felix Lucka, Sampsa Pursiainen, Martin Burger, Carsten H. Wolters
Hierarchical Bayesian inference for the EEG inverse problem using realistic FE head models: Depth localization and source separation for focal primary currents. NeuroImage 61 (4) (2012)
Daniel Tenbrinck, Alex Sawatzky, Xiaoyi Jiang, Martin Burger, Wladimir Haffner, Patrick Willems, Matthias Paul, Jörg Stypmann
Impact of Physical Noise Modeling on Image Segmentation in Echocardiography. VCBM (2012)
Fabian Gigengack, Lars Ruthotto, Xiaoyi Jiang, Jan Modersitzki, Martin Burger, Sven Hermann, Klaus P. Schäfers
Atlas-Based Whole-Body PET-CT Segmentation Using a Passive Contour Distance. MCV (2012)
B. Lanfer, M. Scherg, Moritz Dannhauer, Thomas R. Knösche, Martin Burger, Carsten H. Wolters
Influences of skull segmentation inaccuracies on EEG source analysis. NeuroImage 62 (1) (2012)
Fabian Gigengack, Lars Ruthotto, Martin Burger, Carsten H. Wolters, Xiaoyi Jiang, Klaus P. Schäfers
Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration. IEEE Trans. Medical Imaging 31 (3) (2012)
Michael Möller, Martin Burger, Peter Dieterich, Albrecht Schwab
A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities CoRR (2012)
Christoph Brune, Alex Sawatzky, Martin Burger
Primal and Dual Bregman Methods with Application to Optical Nanoscopy. Int. J. Comput. Vis. 92 (2) (2011)
Xiaoqun Zhang, Martin Burger, Stanley J. Osher
A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration. J. Sci. Comput. 46 (1) (2011)
Maraike Schellmann, Sergei Gorlatch, Dominik Meiländer, Thomas Kösters, Klaus P. Schäfers, Frank Wübbeling, Martin Burger
Parallel medical image reconstruction: from graphics processing units (GPU) to Grids. J. Supercomput. 57 (2) (2011)
Martin Burger, Marco Di Francesco, Jan-Frederik Pietschmann, Bärbel Schlake
Nonlinear Cross-Diffusion with Size Exclusion. SIAM J. Math. Anal. 42 (6) (2010)
Xiaoqun Zhang, Martin Burger, Xavier Bresson, Stanley J. Osher
Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction. SIAM J. Imaging Sci. 3 (3) (2010)
Mohammad Dawood, Christoph Brune, Xiaoyi Jiang, Florian Büther, Martin Burger, Otmar Schober, Michael Schäfers, Klaus P. Schäfers
A Continuity Equation Based Optical Flow Method for Cardiac Motion Correction in 3D PET Data. MIAR (2010)
Martin Burger, Lin He, Carola-Bibiane Schönlieb
Cahn--Hilliard Inpainting and a Generalization for Grayvalue Images. SIAM J. Imaging Sci. 2 (4) (2009)
Maraike Schellmann, Sergei Gorlatch, Dominik Meiländer, Thomas Kösters, Klaus P. Schäfers, Frank Wübbeling, Martin Burger
Parallel Medical Image Reconstruction: From Graphics Processors to Grids. PaCT (2009)

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Publication Activity (10 Years)

Top Topics

Top Venues

Martin Burger