Viti, Bruno and Karabelas, Elias and Holler, Martin. CONSIGN: Conformal Segmentation Informed by Spatial Groupings via Decomposition.
2025
Holler, Martin and Morina, Erion. $C^1$-approximation with rational functions and rational neural networks.
2025
Matthias Höfler and Francesco Regazzoni and Stefano Pagani and Elias Karabelas and Christoph Augustin and Gundolf Haase and Gernot Plank and Federica Caforio. Physics-informed neural network estimation of active material properties in time-dependent cardiac biomechanical models.
2025
Huber, Richard and Clackdoyle, Rolf and Desbat, Laurent. Determination of Range Conditions for General Projection Pair Operators.
2025
Richard Huber. Convergence of Ray- and Pixel-Driven Discretization Frameworks in the Strong Operator Topology.
2025
Orlob, Simon and Kern, Wolfgang J. and Hackl, Benjamin and Wnent, Jan and Gräsner, Jan-Thorsten and Holler, Martin. Vitabel: Bridging Clinical Expertise and the Machine Learning Pipeline in Critical Care.
2025
Habring, Andreas and Holler, Martin and Pock, Thomas and Zach, Martin. Energy-based models for inverse imaging problems.
2025
Holler, Martin and Morina, Erion. On uniqueness in structured model learning.
2024
Holler, Martin and Morina, Erion. On the growth of the parameters of approximating ReLU neural networks.
2024
Kleikamp, Hendrik and Wenzel, Tizian. Kernel Methods in the Deep Ritz framework: Theory and practice.
arXiv,
2024
Záthurecký, Jakub and Eclerová, Veronika and Ševčík, Jan and Zapadlo, Štěpán and Přibylová, Lenka. Phase shifts inside Arnold tongues of weakly coupled oscillators.
Communications in Nonlinear Science and Numerical Simulation, 145:108729,
Elsevier BV,
2025
Holler, Martin and Morina, Erion and Schramm, Georg. Exact Parameter Identification in PET Pharmacokinetic Modeling - Extension to the Reversible Two Tissue Compartment Model.
Inverse Problems, 41(9):095009,
2025
Kleikamp, Hendrik and Renelt, Lukas. Two-Stage Model Reduction Approaches for the Efficient and Certified Solution of Parametrized Optimal Control Problems.
Journal of Scientific Computing, 104(3),
Springer,
2025
Kleikamp, Hendrik and Lazar, Martin and Molinari, Cesare. Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems.
ESAIM -- Mathematical Modelling and Numerical Analysis, 59(1):291--330,
EDP Sciences,
2025
Kristian Bredies, Marcello Carioni, Martin Holler, Yury Korolev and Carola-Bibiane Schönlieb. A sparse optimization approach to infinite infimal convolution regularization.
Numerische Mathematik, 157:1-96,
2025
Jan Willem Koten, André Schüppen, Guilherme Wood and Martin Holler. Towards clinical applicability of fMRI via systematic filtering.
PLoS One, 20(5):e0321088,
2025
Holler, Martin and Morina, Erion and Schramm, Georg. Exact parameter identification in PET pharmacokinetic modeling using the irreversible two tissue compartment model.
Physics in Medicine & Biology, 69(16):165008,
IOP Publishing,
2024
Dominik Narnhofer and Andreas Habring and Martin Holler and Thomas Pock. Posterior-variance-based error quantification for inverse problems in imaging.
SIAM Journal on Imaging Sciences, 17:301-333,
2024
Martin Holler and Alexander Schlüter and Benedikt Wirth. Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space.
Applied and Computational Harmonic Analysis, 70:101631,
2024
Christian Aarset and Andreas Habring and Martin Holler and Mario Mitter. Unsupervised energy disaggregation via convolutional sparse coding.
IEEE Transactions on Consumer Electronics, 70(1),
2024
Martin Holler and Benedikt Wirth. Exact reconstruction and reconstruction from noisy data with anisotropic total variation.
SIAM Journal on Mathematical Analysis, 56:2938-2967,
2024
Habring, Andreas and Holler, Martin and Pock, Thomas. Subgradient Langevin Methods for Sampling from Nonsmooth Potentials.
SIAM Journal on Mathematics of Data Science, 6(4):897-925,
Society for Industrial & Applied Mathematics (SIAM),
2024
Habring, Andreas and Holler, Martin. Neural-network-based regularization methods for inverse problems in imaging.
GAMM-Mitteilungen, 47(4):e202470004,
Wiley Online Library,
2024
Christian Aarset and Martin Holler and Tram T. N. Nguyen. Learning-informed parameter identification in nonlinear time-dependent PDEs.
Applied Mathematics & Optimization, 88(3):1-53,
2023
Andreas Habring and Martin Holler. A Note on the Regularity of Images Generated by Convolutional Neural Networks.
SIAM Journal on Mathematics of Data Science, 5(3):670-692,
2023
Wolfgan J. Kern and Simon Orlob and Andreas Bohn and Wolfgang Toller and Jan Wnent and Jan-Thorsten Gräsner and Martin Holler. Accelerometry-based classification of circulatory states during out-of-hospital cardiac arrest.
IEEE Transactions on Biomedical Engineering, 70(8):2310-2317,
2023
Haasdonk, Bernard and Kleikamp, Hendrik and Ohlberger, Mario and Schindler, Felix and Wenzel, Tizian. A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs.
SIAM Journal on Scientific Computing, 45(3):A1039--A1065,
2023
Keil, Tim and Kleikamp, Hendrik and Lorentzen, Rolf J. and Oguntola, Micheal B. and Ohlberger, Mario. Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery.
Advances in Computational Mathematics, 48(6):73,
2022
Simon Orlob and Wolfgang J. Kern and Birgitt Alpers and Michael Schörghuber and Andreas Bohn and Martin Holler and Jan-Thorsten Gräsner and Jan Wnent. Chest compression fraction calculation: A new, automated, robust method to identify periods of chest compressions from defibrillator data - Tested in Zoll X Series.
Resuscitation, 172:162-169,
2022
Kristian Bredies and Marcello Carioni and Martin Holler. Regularization Graphs -- A unified framework for variational regularization of inverse problems.
Inverse Problems, 38(10):105006,
2022
Georg Schramm and Martin Holler. Fast and memory-efficient reconstruction of sparse Poisson data in listmode with non-smooth priors with application to time-of-flight PET.
Physics in Medicine & Biology, 67(15):155020,
2022
Andreas Habring and Martin Holler. A Generative Variational Model for Inverse Problems in Imaging.
SIAM Journal on Mathematics of Data Science, 4(1):306-335,
2022
Bredies, Kristian and Huber, Richard. Convergence Analysis of Pixel-Driven Radon and Fanbeam Transforms.
SIAM Journal on Numerical Analysis, 59(3):1399-1432,
2021
Stefano Almi and Massimo Fornasier and Richard Huber. Data-driven evolutions of critical points.
Foundations of Data Science, 2(3):207-255,
2020
Kristian Bredies and Martin Holler. Higher-order total variation approaches and generalisations.
Inverse Problems. Topical Review, 36(12):123001,
2020
Antonin Chambolle and Martin Holler and Thomas Pock. A Convex Variational Model for Learning Convolutional Image Atoms from Incomplete Data.
Journal of Mathematical Imaging and Vision, 62(3):417-444,
Springer,
2020
Huber, Richard and Haberfehlner, Georg and Holler, Martin and Kothleitner, Gerald and Bredies, Kristian. Total generalized variation regularization for multi-modal electron tomography.
Nanoscale, 11:5617-5632,
2019
Andreas Lesch and Matthias Schloegl and Martin Holler and Kristian Bredies and Rudolf Stollberger. Ultrafast 3D Bloch-Siegert B1+-mapping using variational modeling.
Magnetic Resonance in Medicine, 81(2):881-892,
2019
Kristian Bredies and Martin Holler and Martin Storath and Andreas Weinmann. Total Generalized Variation for manifold-valued data.
SIAM Journal on Imaging Sciences, 11(3):1785-1848,
2018
Michael Hintermüller and Martin Holler and Kostas Papafitsoros.. A function space framework for structural total variation regularization with applications in inverse problems.
Inverse Problems, 34(6):064002,
2018
Martin Holler and Kamil S. Kazimierski. Variational Decompression of Image Data From DjVu Encoded Files.
IEEE Transactions on Image Processing, 27(1):490-499,
2018
Martin Holler and Richard Huber and Florian Knoll. Coupled regularization with multiple data discrepancies.
Inverse Problems, 34(8):084003,
2018
Georg Schramm and Martin Holler and Ahmadreza Rezaei and Kathleen Vunckx and Florian Knoll and Kristian Bredies and Fernando Boada and Johan Nuyts. Evaluation of Parallel Level Sets and Bowsher's Method as Segmentation-Free Anatomical Priors for Time-of-Flight PET Reconstruction.
IEEE Transaction on Medical Imaging, 37(2):590 - 603,
2017
Matthias Schloegl and Martin Holler and Andreas Schwarzl and Kristian Bredies and Rudolf Stollberger. Infimal convolution of total generalized variation functionals for dynamic MRI.
Magnetic Resonance in Medicine, 78(1):142-155,
2017
Florian Knoll and Martin Holler and Thomas Koesters and Richardo Otazo and Kristian Bredies and Daniel K Sodickson. Joint MR-PET reconstruction using a multi-channel image regularizer.
IEEE Transactions on Medical Imaging, 36(1):1-16,
2017
Andrew Crozier and Christoph M. Augustin and Aurel Neic and Anton J. Prassl and Martin Holler and Thomas E. Fastl and Anja Hennemuth and Kristian Bredies and Titus Kuehne and Martin J. Bishop and Steven A. Niederer and Gernot Plank. Image-based personalization of cardiac anatomy for coupled electromechanical modeling.
Annals of Biomedical Engineering, 44(1):58--70,
2016
Kristian Bredies and Martin Holler. A TGV-based framework for variational image decompression, zooming and reconstruction. Part II: Numerics.
SIAM Journal on Imaging Sciences, 8(4):2851--2886,
2015
Kristian Bredies and Martin Holler. A TGV-based framework for variational image decompression, zooming and reconstruction. Part I: Analytics.
SIAM Journal on Imaging Sciences, 8(4):2814-2850,
2015
Kristian Bredies and Martin Holler. Regularization of linear inverse problems with total generalized variation.
Journal of Inverse and Ill-Posed Problems, 22(6):871--913,
2014
Martin Holler and Karl Kunisch. On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction.
SIAM Journal on Imaging Sciences, 7(4):2258-2300,
2014
Kristian Bredies and Martin Holler. A total variation-based JPEG decompression model.
SIAM Journal on Imaging Sciences, 5(1):366--393,
2012
Přibylová, Lenka and Ševčík, Jan and Halmazňa, Tomáš and Husa, Štěpán and Kajanová, Lucia and Malárik, Peter and Polách, Miroslav and Zapadlo, Štěpán and Eclerová, Veronika. Chaos links dendritic calcium to bursting in hippocampal pyramidal cells.
Chaos, Solitons & Fractals, 197:116517,
Elsevier BV,
Schembera, Björn and Wübbeling, Frank and Kleikamp, Hendrik and Schmidt, Burkhard and Shehu, Aurela and Reidelbach, Marco and Biedinger, Christine and Fiedler, Jochen and Koprucki, Thomas and Iglezakis, Dorothea and Göddeke, Dominik. Towards a Knowledge Graph for Models and Algorithms in Applied Mathematics.
Metadata and Semantic Research,
Springer Nature Switzerland,
2025
Kleikamp, Hendrik and Ohlberger, Mario. Adaptive Model Hierarchies for Multi-Query Scenarios.
MATHMOD 2025 Short Contribution Volume,
2025
Richard Huber. A Novel Interpretation of the Radon Transform's Ray and Pixel-Driven Discretizations Under Balanced Resolutions.
Scale Space and Variational Methods in Computer Vision,
Springer Nature Switzerland,
2025
Wenzel, Tizian and Haasdonk, Bernard and Kleikamp, Hendrik and Ohlberger, Mario and Schindler, Felix. Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling.
Lecture Notes in Computer Science,
Springer Nature Switzerland,
2024
Viti, Bruno and Thaler, Franz and Kapper, Kathrin Lisa and Urschler, Martin and Holler, Martin and Karabelas, Elias. Gaussian Process Emulators for Few-Shot Segmentation in Cardiac MRI.
International Workshop on Statistical Atlases and Computational Models of the Heart,
2024
Schembera, Björn and Wübbeling, Frank and Kleikamp, Hendrik and Biedinger, Christine and Fiedler, Jochen and Reidelbach, Marco and Shehu, Aurela and Schmidt, Burkhard and Koprucki, Thomas and Iglezakis, Dorothea and Göddeke, Dominik. Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines.
Communications in Computer and Information Science,
Springer Nature Switzerland,
2024
Kleikamp, Hendrik. Application of an adaptive model hierarchy to parametrized optimal control problems.
2024
Huber, Richard and Clackdoyle, Rolf and Desbat, Laurent. Pairwise data consistency conditions for the exponential fanbeam transform.
Conference Proceedings for the 17th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine,
2023
Abdullah, Abdullah and Holler, Martin and Kunisch, Karl and Landman, Malena Sabate. Latent-Space Disentanglement with Untrained Generator Networks for the Isolation of Different Motion Types in Video Data.
Scale Space and Variational Methods in Computer Vision,
Springer International Publishing,
2023
Kleikamp, Hendrik and Ohlberger, Mario and Rave, Stephan. Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.
MATHMOD 2022 Discussion Contribution Volume,
ARGESIM Publisher Vienna,
2022
Martin Holler and Andreas Weinmann. Non-smooth regularization for manifold-valued data.
Handbook of Variational Methods for Nonlinear Geometric Data,
Springer,
2020
Georg Schramm and Martin Holler and Thomas Koesters and Fernando Boada and Florian Knoll and Kristian Bredies and Johann Nuyts. PET reconstruction with non-smooth gradient-based priors.
Proceedings of the 2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop (NSS/MIC/RTSD),
2017
Florian Knoll and Martin Holler and Thomas Koesters and Kristian Bredies and Daniel K.~Sodickson. Simultaneous PET-MRI reconstruction with vectorial second order total generalized variation.
Proceedings of the 2015 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC),
2016
Richard Huber and Martin Holler and Kristian Bredies. Graph-Laplacian minimisation for surface smoothing in 3D finite element tetrahedral meshes.
Proceedings of the 1st OAGM-ARW Joint Workshop --- Vision Meets Robotics,
2016
Kristian Bredies and Martin Holler. Artifact-Free Variational MPEG Decompression.
Scale Space and Variational Methods in Computer Vision,
Springer,
2015
Kristan Bredies and Martin Holler. A TGV Regularized Wavelet Based Zooming Model.
Scale Space and Variational Methods in Computer Vision,
Springer Berlin Heidelberg,
2013
Kristian Bredies and Martin Holler. Artifact-Free Decompression and Zooming of JPEG Compressed Images with Total Generalized Variation.
Computer Vision, Imaging and Computer Graphics. Theory and Application,
Springer Berlin Heidelberg,
2013
Kristian Bredies and Martin Holler. Artifact-free JPEG decompression with total generalized variation.
Proceedings of VISAPP 2012 - International Joint Conference on Computer Vision,
2012
