| Publication | Date of Publication | Type |
|---|
| Nonlinear eigenvalue problems for seminorms and applications | 2024-03-22 | Paper |
| Bregman Distances in Inverse Problems and Partial Differential Equations | 2024-03-07 | Paper |
| Computing nonlinear eigenfunctions via gradient flow extinction | 2024-02-23 | Paper |
| A total variation based regularizer promoting piecewise-Lipschitz reconstructions | 2024-02-23 | Paper |
| Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics | 2024-02-08 | Paper |
| Learned Regularization for Inverse Problems: Insights from a Spectral Model | 2023-12-15 | Paper |
| Variational regularization in inverse problems and machine learning | 2023-11-10 | Paper |
| Ill-posedness of time-dependent inverse problems in Lebesgue-Bochner spaces | 2023-10-06 | Paper |
| Well-posedness and stationary states for a crowded active Brownian system with size-exclusion | 2023-09-29 | Paper |
| Hypergraph $p$-Laplacians and Scale Spaces | 2023-09-27 | Paper |
| Dynamic Optimal Transport on Networks | 2023-09-05 | Paper |
| Porous medium equation and cross-diffusion systems as limit of nonlocal interaction | 2023-08-14 | Paper |
| Convex regularization in statistical inverse learning problems | 2023-08-10 | Paper |
| Analysis of kinetic models for label switching and stochastic gradient descent | 2023-07-03 | Paper |
| Covariance-modulated optimal transport and gradient flows | 2023-02-15 | Paper |
| Convergent Data-driven Regularizations for CT Reconstruction | 2022-12-14 | Paper |
| Mean-field models for segregation dynamics | 2022-12-08 | Paper |
| Active Crowds | 2022-11-29 | Paper |
| Well-Posedness of an Integro-Differential Model for Active Brownian Particles | 2022-11-03 | Paper |
| Adaptive Superresolution in Deconvolution of Sparse Peaks | 2022-09-23 | Paper |
| Adaptive Regularization of Some Inverse Problems in Image Analysis | 2022-09-16 | Paper |
| Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities | 2022-09-10 | Paper |
| Phase Separation in Systems of Interacting Active Brownian Particles | 2022-09-06 | Paper |
| On multi-species diffusion with size exclusion | 2022-08-29 | Paper |
| Gradient Flows and Nonlinear Power Methods for the Computation of Nonlinear Eigenfunctions | 2022-08-19 | Paper |
| A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics | 2022-07-26 | Paper |
| On a class of singularly perturbed elliptic systems with asymptotic phase segregation | 2022-06-01 | Paper |
| Kinetic equations for processes on co-evolving networks | 2022-05-20 | Paper |
| Connections between deep learning and partial differential equations | 2021-12-08 | Paper |
| Network structured kinetic models of social interactions | 2021-08-17 | Paper |
| Delayed blow‐up for chemotaxis models with local sensing | 2021-08-13 | Paper |
| Mean-field optimal control for biological pattern formation | 2021-07-07 | Paper |
| Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals | 2021-07-01 | Paper |
| Sequentially optimized projections in x-ray imaging * | 2021-06-23 | Paper |
| Structural analysis of an \(L\)-infinity variational problem and relations to distance functions | 2021-04-23 | Paper |
| Mean-Field Optimal Control and Optimality Conditions in the Space of Probability Measures | 2021-04-09 | Paper |
| Instantaneous control of interacting particle systems in the mean-field limit | 2021-01-28 | Paper |
| Variational regularisation for inverse problems with imperfect forward operators and general noise models | 2020-12-08 | Paper |
| Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type | 2020-09-07 | Paper |
| Segregation effects and gap formation in cross-diffusion models | 2020-08-26 | Paper |
| Spectral Representations of One-Homogeneous Functionals | 2020-07-28 | Paper |
| Regularization with Sparse Vector Fields: From Image Compression to TV-type Reconstruction | 2020-07-28 | Paper |
| Reconstruction Methods in THz Single-Pixel Imaging | 2020-07-07 | Paper |
| Data assimilation in price formation | 2020-06-15 | Paper |
| A PDE model for bleb formation and interaction with linker proteins | 2020-06-04 | Paper |
| Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations | 2020-06-03 | Paper |
| On Fokker-Planck equations with in- and outflow of mass | 2020-05-11 | Paper |
| An entropic Landweber method for linear ill-posed problems | 2020-01-20 | Paper |
| On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma | 2020-01-15 | Paper |
| A mesoscopic model of biological transportation networks | 2020-01-07 | Paper |
| Total Variation Regularisation with Spatially Variable Lipschitz Constraints | 2019-12-05 | Paper |
| Solution paths of variational regularization methods for inverse problems | 2019-10-10 | Paper |
| Modern regularization methods for inverse problems | 2019-08-28 | Paper |
| Unified models for second-order TV-type regularisation in imaging: a new perspective based on vector operators | 2019-06-27 | Paper |
| Segregation and Gap Formation in Cross-Diffusion Models | 2019-06-09 | Paper |
| Convergence rates and structure of solutions of inverse problems with imperfect forward models | 2019-02-22 | Paper |
| Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals | 2019-01-21 | Paper |
| Large noise in variational regularization | 2018-12-06 | Paper |
| On Optical Flow Models for Variational Motion Estimation | 2018-11-23 | Paper |
| A stochastic model for the normal tissue complication probability (NTCP) and applicationss | 2018-10-11 | Paper |
| A Variational Model for Joint Motion Estimation and Image Reconstruction | 2018-10-10 | Paper |
| Risk estimators for choosing regularization parameters in ill-posed problems -- properties and limitations | 2018-09-27 | Paper |
| The inverse problem of magnetorelaxometry imaging | 2018-09-18 | Paper |
| Projected Gradient Flows for BV/Level Set Relaxation | 2018-07-26 | Paper |
| Dynamic MRI reconstruction from undersampled data with an anatomical prescan | 2018-07-06 | Paper |
| Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species | 2018-06-21 | Paper |
| Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems | 2018-05-03 | Paper |
| Towards dynamic PET reconstruction under flow conditions: parameter identification in a PDE model | 2018-04-25 | Paper |
| Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging | 2018-03-14 | Paper |
| Dynamic SPECT reconstruction with temporal edge correlation | 2018-03-14 | Paper |
| Bias reduction in variational regularization | 2018-03-08 | Paper |
| Pattern formation of a nonlocal, anisotropic interaction model | 2018-02-15 | Paper |
| Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures | 2018-02-09 | Paper |
| A variational reconstruction method for undersampled dynamic x-ray tomography based on physical motion models | 2018-01-16 | Paper |
| On a Boltzmann-type price formation model | 2017-09-29 | Paper |
| First Order Algorithms in Variational Image Processing | 2017-09-01 | Paper |
| Asymptotic gradient flow structures of a nonlinear Fokker-Planck equation | 2017-08-24 | Paper |
| Analysis of the diffuse domain method for second order elliptic boundary value problems | 2017-07-07 | Paper |
| On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion | 2017-06-30 | Paper |
| Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems | 2017-05-09 | Paper |
| Risk Estimators for Choosing Regularization Parameters in Ill-Posed Problems - Properties and Limitations | 2017-01-18 | Paper |
| Inverse problems in geographical economics: parameter identification in the spatial Solow model | 2017-01-13 | Paper |
| Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth | 2016-12-19 | Paper |
| Spectral Decompositions Using One-Homogeneous Functionals | 2016-12-19 | Paper |
| Flow characteristics in a crowded transport model | 2016-11-28 | Paper |
| An Optimization Approach for Well-Targeted Transcranial Direct Current Stimulation | 2016-11-16 | Paper |
| Simultaneous reconstruction and segmentation for dynamic SPECT imaging | 2016-11-11 | Paper |
| Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects | 2016-11-01 | Paper |
| Controlling a self-organizing system of individuals guided by a few external agents -- particle description and mean-field limit | 2016-10-05 | Paper |
| On a Boltzmann Mean Field Model for Knowledge Growth | 2016-09-23 | Paper |
| Bregman Cost for Non-Gaussian Noise | 2016-08-26 | Paper |
| Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case | 2016-06-16 | Paper |
| Lane Formation by Side-Stepping | 2016-03-17 | Paper |
| Locally sparse reconstruction using the \(\ell^{1,\infty}\)-norm | 2016-03-09 | Paper |
| Iterative Solution Methods | 2016-03-02 | Paper |
| Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem | 2016-01-15 | Paper |
| Second-Order Edge-Penalization in the Ambrosio--Tortorelli functional | 2016-01-11 | Paper |
| A Nonlinear Variational Approach to Motion-Corrected Reconstruction of Density Images | 2015-11-29 | Paper |
| Maximuma posterioriprobability estimates in infinite-dimensional Bayesian inverse problems | 2015-11-03 | Paper |
| Infimal Convolution Regularisation Functionals of BV and $\mathrm{L}^{p}$ Spaces. The Case p$=\infty$ | 2015-10-30 | Paper |
| Optimal Control of Self-Consistent Classical and Quantum Particle Systems | 2015-09-11 | Paper |
| Mathematical methods in biomedical imaging | 2015-03-24 | Paper |
| Color Bregman TV | 2015-02-17 | Paper |
| On the asymptotic behavior of a Boltzmann-type price formation model | 2015-01-07 | Paper |
| Total variation regularization in measurement and image space for PET reconstruction | 2014-12-17 | Paper |
| Maximuma posterioriestimates in linear inverse problems with log-concave priors are proper Bayes estimators | 2014-12-17 | Paper |
| Mean field games with nonlinear mobilities in pedestrian dynamics | 2014-12-03 | Paper |
| Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion | 2014-08-19 | Paper |
| Ground states and singular vectors of convex variational regularization methods | 2014-08-05 | Paper |
| A variational framework for region-based segmentation incorporating physical noise models | 2014-07-11 | Paper |
| A Guide to the TV Zoo | 2014-07-01 | Paper |
| EM-TV Methods for Inverse Problems with Poisson Noise | 2014-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5419931 | 2014-06-11 | Paper |
| Error estimates for general fidelities | 2014-04-25 | Paper |
| Identification of nonlinearities in transport-diffusion models of crowded motion | 2014-03-10 | Paper |
| Stationary states of quadratic diffusion equations with long-range attraction | 2014-01-22 | Paper |
| Multiscale Methods for Polyhedral Regularizations | 2013-12-13 | Paper |
| Convergence rates inℓ1-regularization if the sparsity assumption fails | 2013-05-02 | Paper |
| A Hyperelastic Regularization Energy for Image Registration | 2013-04-29 | Paper |
| Higher-order TV methods -- enhancement via Bregman iteration | 2013-04-08 | Paper |
| Iterative Solution Methods | 2013-03-25 | Paper |
| An adaptive inverse scale space method for compressed sensing | 2013-03-20 | Paper |
| Exact Relaxation for Classes of Minimization Problems with Binary Constraints | 2012-10-28 | Paper |
| Regularized Regression and Density Estimation based on Optimal Transport | 2012-10-10 | Paper |
| A Variational Approach for Sharpening High Dimensional Images | 2012-09-14 | Paper |
| Continuous limit of a crowd motion and herding model: analysis and numerical simulations | 2012-06-25 | Paper |
| Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries | 2012-05-07 | Paper |
| Mathematical Modelling of Polarizing GTPases in Developing Axons | 2012-04-25 | Paper |
| Primal and dual Bregman methods with application to optical nanoscopy | 2012-04-12 | Paper |
| The iteratively regularized Gauss–Newton method with convex constraints and applications in 4Pi microscopy | 2012-03-29 | Paper |
| Individual based and mean-field modelling of direct aggregation | 2011-12-05 | Paper |
| Inverse problems in ion channel modelling | 2011-10-12 | Paper |
| A unified primal-dual algorithm framework based on Bregman iteration | 2011-09-20 | Paper |
| Nonlinear Cross-Diffusion with Size Exclusion | 2011-08-08 | Paper |
| A LEVEL SET BASED SHAPE OPTIMIZATION METHOD FOR AN ELLIPTIC OBSTACLE PROBLEM | 2011-06-03 | Paper |
| Discovering a Point Source in Unknown Environments | 2011-03-02 | Paper |
| Finite element-based level set methods for higher order flows | 2011-01-16 | Paper |
| Stability analysis of the inverse transmembrane potential problem in electrocardiography | 2010-11-17 | Paper |
| Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction | 2010-07-26 | Paper |
| A mixed finite element method for nonlinear diffusion equations | 2010-05-07 | Paper |
| Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images | 2009-12-02 | Paper |
| Iterative total variation schemes for nonlinear inverse problems | 2009-11-09 | Paper |
| A GLOBALLY CONVERGENT GUMMEL MAP FOR OPTIMAL DOPANT PROFILING | 2009-06-30 | Paper |
| On/off-state design of semiconductor doping profiles | 2009-04-14 | Paper |
| Finite element approximation of elliptic partial differential equations on implicit surfaces | 2009-03-31 | Paper |
| Large time behavior of nonlocal aggregation models with nonlinear diffusion | 2009-01-30 | Paper |
| Error estimation for Bregman iterations and inverse scale space methods in image restoration | 2008-09-23 | Paper |
| The Willmore functional and instabilities in the Cahn-Hilliard equation | 2008-08-14 | Paper |
| Inverse Total Variation Flow | 2008-06-10 | Paper |
| Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions | 2008-04-30 | Paper |
| Global weak solutions of non-isothermal front propagation problem | 2008-03-07 | Paper |
| On an aggregation model with long and short range interactions | 2008-02-25 | Paper |
| An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes | 2008-01-04 | Paper |
| Iterative total variation regularization with non-quadratic fidelity | 2007-09-20 | Paper |
| A level set approach to anisotropic flows with curvature regularization | 2007-09-14 | Paper |
| Inverse Problems Related to Ion Channel Selectivity | 2007-09-06 | Paper |
| The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion | 2007-07-31 | Paper |
| Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints | 2007-07-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5294091 | 2007-07-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3447186 | 2007-06-28 | Paper |
| Cavity identification in linear elasticity and thermoelasticity | 2007-06-26 | Paper |
| Mesoscale Averaging of Nucleation and Growth Models | 2007-06-26 | Paper |
| On inverse problems for semiconductor equations | 2007-05-09 | Paper |
| Variational, Geometric, and Level Set Methods in Computer Vision | 2006-10-20 | Paper |
| Surface diffusion including adatoms | 2006-07-11 | Paper |
| Nonlinear inverse scale space methods | 2006-07-11 | Paper |
| Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems | 2006-06-02 | Paper |
| A survey on level set methods for inverse problems and optimal design | 2006-01-03 | Paper |
| Computer Vision - ECCV 2004 | 2005-12-27 | Paper |
| An Iterative Regularization Method for Total Variation-Based Image Restoration | 2005-10-06 | Paper |
| Numerical simulation of anisotropic surface diffusion with curvature-dependent energy | 2005-05-12 | Paper |
| Regularized greedy algorithms for network training with data noise | 2005-04-29 | Paper |
| Convergence rates of convex variational regularization | 2005-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4663862 | 2005-04-04 | Paper |
| Growth of multiple crystals in polymer melts | 2005-03-21 | Paper |
| Level set methods for geometric inverse problems in linear elasticity | 2005-01-31 | Paper |
| Optimal control of polymer morphologies | 2005-01-14 | Paper |
| Levenberg–Marquardt level set methods for inverse obstacle problems | 2004-06-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4460898 | 2004-03-29 | Paper |
| Incorporating topological derivatives into level set methods. | 2004-03-14 | Paper |
| A framework for the construction of level set methods for shape optimization and reconstruction | 2004-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4453645 | 2004-03-07 | Paper |
| Fast Optimal Design of Semiconductor Devices | 2004-01-08 | Paper |
| Regularized data-driven construction of fuzzy controllers | 2003-10-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4428612 | 2003-09-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4411115 | 2003-07-07 | Paper |
| Modelling multi-dimensional crystallization of polymers in interaction with heat transfer. | 2003-05-25 | Paper |
| MATHEMATICAL MODELLING AND SIMULATION OF NON-ISOTHERMAL CRYSTALLIZATION OF POLYMERS | 2003-03-16 | Paper |
| Regularization methods for blind deconvolution and blind source separation problems | 2003-01-07 | Paper |
| Numerical Approximation of an SQP-Type Method for Parameter Identification | 2003-01-05 | Paper |
| Iterative regularization of parameter identification problems by sequential quadratic programming methods | 2002-10-27 | Paper |
| Identification of doping profiles in semiconductor devices | 2002-07-28 | Paper |
| Iterative Regularization of a Parameter Identification Problem Occurring in Polymer Crystallization | 2002-07-08 | Paper |
| A level set method for inverse problems | 2002-06-02 | Paper |
| Error bounds for approximation with neural networks | 2002-04-28 | Paper |
| Stochastic and deterministic simulation of nonisothermal crystallization of polymers | 2002-03-26 | Paper |
| Training neural networks with noisy data as an ill-posed problem | 2001-06-19 | Paper |
| Inverse problems related to crystallization of polymers | 1999-03-30 | Paper |