Edit Profile (opens in new tab) Schönlieb, Carola-Bibiane Co-Author Distance Author ID: schonlieb.carola-bibiane Published as: Schönlieb, Carola-Bibiane; Schönlieb, Carola; Schönlieb, C.-B.; Schönlieb, C. B. more...less Homepage: http://www.damtp.cam.ac.uk/user/cbs31/Home.html External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 121 Publications since 2008, including 1 Book and 27 Additional arXiv Preprints 7 Contributions as Editor Software Indexed: 3 Packages Biographic References: 1 Publication Co-Authors: 183 Co-Authors with 125 Joint Publications 4,493 Co-Co-Authors all top 5 Co-Authors 2 single-authored 16 Ehrhardt, Matthias Joachim 14 Benning, Martin 11 Burger, Martin 10 Tang, Junqi 8 De los Reyes, Juan Carlos 8 Düring, Bertram 8 Mukherjee, Subhadip 8 Öktem, Ozan 7 Calatroni, Luca 7 Liang, Jingwei 6 Driggs, Derek 6 Parisotto, Simone 5 Arridge, Simon R. 5 Celledoni, Elena 5 Korolev, Yury M. 5 Kreusser, Lisa Maria 5 Owren, Brynjulf 5 Sherry, Ferdia 5 Valkonen, Tuomo 4 Diepeveen, Willem 4 Fornasier, Massimo 4 Hauptmann, Andreas S. 4 Langer, Andreas 4 Latz, Jonas 4 Lellmann, Jan 4 Tan, Hong Ye 4 Van Gennip, Yves 3 Aviles-Rivero, Angelica I. 3 Corona, Veronica 3 Etmann, Christian 3 Hocking, L. Robert 3 Maass, Peter 3 Masnou, Simon 3 McLachlan, Robert I. 3 Papafitsoros, Konstantinos 3 Papoutsellis, Evangelos 3 Quispel, Gilles Reinout Willem 3 Riis, Erlend Skaldehaug 3 Rossi, Julio Daniel 2 Aston, John A. D. 2 Batzolis, Georgios 2 Betcke, Marta M. 2 Bungert, Leon 2 Cai, Ziruo 2 Carrillo de la Plata, José Antonio 2 Chambolle, Antonin 2 Collins, Sean M. 2 Davies, Mike E. 2 Debroux, Noémie 2 Fernández Bonder, Julián 2 Gladden, Lynn F. 2 Grimm, Volker 2 Holding, Thomas 2 Lang, Lukas F. 2 Li, Jinglai 2 Lunz, Sebastian 2 Markowich, Peter Alexander 2 McLaren, David I. 2 Midgley, Paul A. 2 Murari, Davide 2 Reci, Andi 2 Ringholm, Torbjørn 2 Sederman, Andrew J. 2 Thorpe, Matthew 2 Tovey, Robert 2 Zeng, Tie Yong 2 Zhang, Xiaoqun 1 Adler, Jonas 1 Afyouni, Soroosh 1 Barbaresco, Frédéric 1 Bekkers, Erik J. 1 Bertozzi, Andrea Louise 1 Biguri, Ander 1 Boardman, Richard 1 Bonardi, Fabien 1 Boulanger, Jérôme 1 Brune, Christoph 1 Budd, Jeremy M. 1 Buet, Blanche 1 Cai, Xiaohao 1 Caliari, Marco 1 Cao, Chung 1 Carioni, Marcello 1 Chan, Raymond Hon-Fu 1 Chen, Ke 1 Cheng, Yanqi 1 Chu, Shun-Yin 1 Chung, Cao Van 1 Coomes, David A. 1 Cremers, Daniel 1 Crook, Oliver M. 1 de Hoop, Maarten V. 1 de Kruiff, Friso 1 Delplancke, Claire 1 Desquilbet, François 1 Dirks, Hendrik Meinert 1 Dong, Yiqiu 1 Dréo, Johann 1 Dutta, Nilankur 1 Esteve-Yagüe, Carlos ...and 83 more Co-Authors all top 5 Serials 20 SIAM Journal on Imaging Sciences 16 Inverse Problems 7 Journal of Mathematical Imaging and Vision 3 SIAM Journal on Scientific Computing 2 European Journal of Applied Mathematics 2 Foundations of Computational Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Communications in Mathematical Sciences 2 Oberwolfach Reports 2 SIAM Journal on Mathematics of Data Science 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Applied Mathematics and Optimization 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Discrete and Continuous Dynamical Systems 1 Mathematics Today (Southend-on-Sea) 1 Communications in Contemporary Mathematics 1 IEEE Transactions on Image Processing 1 AMRX. Applied Mathematics Research eXpress 1 SIAM Journal on Applied Dynamical Systems 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Cambridge Monographs on Applied and Computational Mathematics 1 Journal of Mathematics and the Arts 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Journal of Computational Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics 1 Foundations of Data Science all top 5 Fields 58 Numerical analysis (65-XX) 53 Information and communication theory, circuits (94-XX) 50 Computer science (68-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 22 Operations research, mathematical programming (90-XX) 19 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 9 Statistics (62-XX) 6 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 1,184 times in 778 Documents Cited by ▼ Year ▼ Solving inverse problems using data-driven models. Zbl 1429.65116 Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane 149 2019 A combined first and second order variational approach for image reconstruction. Zbl 1362.94009 Papafitsoros, K.; Schönlieb, C. B. 93 2014 Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007 Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane 68 2009 Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005 De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 53 2013 Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016 Schönlieb, Carola-Bibiane; Bertozzi, Andrea 49 2011 Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010 De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 45 2017 Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. Zbl 06951767 Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane 45 2018 Imaging with Kantorovich-Rubinstein discrepancy. Zbl 1308.49043 Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo 36 2014 Subspace correction methods for total variation and \(\ell_1\)-minimization. Zbl 1203.65098 Fornasier, Massimo; Schönlieb, Carola-Bibiane 31 2009 Bilevel approaches for learning of variational imaging models. Zbl 1468.94014 Calatroni, Luca; Cao, Chung; de los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane; Vakonen, Tuomo 31 2017 Infimal convolution of data discrepancies for mixed noise removal. Zbl 1412.94005 Calatroni, Luca; De Los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 29 2017 A convergent overlapping domain decomposition method for total variation minimization. Zbl 1206.65170 Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane 26 2010 The structure of optimal parameters for image restoration problems. Zbl 1327.49063 De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 26 2016 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009 Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 25 2015 Learning optimal spatially-dependent regularization parameters in total variation image denoising. Zbl 1371.49018 van Chung, Cao; De Los Reyes, J. C.; Schönlieb, C. B. 24 2017 Regularized regression and density estimation based on optimal transport. Zbl 1318.62122 Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane 23 2012 Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249 Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane 23 2019 Partial differential equation methods for image inpainting. Zbl 1335.94002 Schönlieb, Carola-Bibiane 23 2015 Structure-preserving deep learning. Zbl 1538.68038 Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schönlieb, C.-B.; Sherry, F. 17 2021 Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. Zbl 1342.49014 Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane 17 2016 A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009 Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane 17 2018 Linkage between piecewise constant Mumford-Shah model and Rudin-Osher-Fatemi model and its virtue in image segmentation. Zbl 1454.94012 Cai, Xiaohao; Chan, Raymond; Schönlieb, Carola-Bibiane; Steidl, Gabriele; Zeng, Tieyong 14 2019 Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214 Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B. 14 2014 Bregmanized domain decomposition for image restoration. Zbl 1308.94020 Langer, Andreas; Osher, Stanley; Schönlieb, Carola-Bibiane 14 2013 Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. Zbl 1369.94019 Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah M.; Flenner, Arjuna 13 2017 Variational image regularization with Euler’s elastica using a discrete gradient scheme. Zbl 1426.49031 Ringholm, Torbjørn; Lazić, Jasmina; Schönlieb, Carola-Bibiane 13 2018 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163 Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 12 2022 Discrete gradient methods for solving variational image regularisation models. Zbl 1371.94146 Grimm, V.; McLachlan, Robert I.; McLaren, David I.; Quispel, G. R. W.; Schönlieb, C.-B. 12 2017 Analysis and application of a nonlocal Hessian. Zbl 1330.94010 Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel 11 2015 Directional sinogram inpainting for limited angle tomography. Zbl 1407.92074 Tovey, Robert; Benning, Martin; Brune, Christoph; Lagerwerf, Marinus J.; Collins, Sean M.; Leary, Rowan K.; Midgley, Paul A.; Schönlieb, Carola-Bibiane 11 2019 Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints. Zbl 1333.94008 Calatroni, Luca; De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 11 2014 On learned operator correction in inverse problems. Zbl 1474.65182 Lunz, Sebastian; Hauptmann, Andreas; Tarvainen, Tanja; Schönlieb, Carola-Bibiane; Arridge, Simon 10 2021 Blind image fusion for hyperspectral imaging with the directional total variation. Zbl 1481.94009 Bungert, Leon; Coomes, David A.; Ehrhardt, Matthias J.; Rasch, Jennifer; Reisenhofer, Rafael; Schönlieb, Carola-Bibiane 10 2018 Higher-order total directional variation: analysis. Zbl 1444.47020 Parisotto, Simone; Masnou, Simon; Schönlieb, Carola-Bibiane 10 2020 ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing. Zbl 1279.65096 Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 8 2014 Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024 Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane 8 2018 A stochastic proximal alternating minimization for nonsmooth and nonconvex optimization. Zbl 1479.90166 Driggs, Derek; Tang, Junqi; Liang, Jingwei; Davies, Mike; Schönlieb, Carola-Bibiane 8 2021 Inverse scale space decomposition. Zbl 1468.62352 Foged Schmidt, Marie; Benning, Martin; Schönlieb, Carola-Bibiane 8 2018 Enhancing joint reconstruction and segmentation with non-convex Bregman iteration. Zbl 1448.94008 Corona, Veronica; Benning, Martin; Ehrhardt, Matthias J.; Gladden, Lynn F.; Mair, Richard; Reci, Andi; Sederman, Andrew J.; Reichelt, Stefanie; Schönlieb, Carola-Bibiane 8 2019 Wavelet decomposition method for \(L_2\)/TV-image deblurring. Zbl 1259.65101 Fornasier, M.; Kim, Y.; Langer, A.; Schönlieb, C.-B. 7 2012 Choose your path wisely: gradient descent in a Bregman distance framework. Zbl 1480.90197 Benning, Martin; Betcke, Marta M.; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane 7 2021 Template-based image reconstruction from sparse tomographic data. Zbl 1461.49048 Lang, Lukas F.; Neumayer, Sebastian; Öktem, Ozan; Schönlieb, Carola-Bibiane 7 2020 Total variation minimization with an \(H^{-1}\) constraint. Zbl 1178.65072 Schönlieb, Carola-Bibiane 6 2009 Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Zbl 1527.94003 6 2023 Higher-order total directional variation: imaging applications. Zbl 07292249 Parisotto, Simone; Lellmann, Jan; Masnou, Simon; Schönlieb, Carola-Bibiane 6 2020 Variational depth from focus reconstruction. Zbl 1408.94486 Moeller, Michael; Benning, Martin; Schönlieb, Carola; Cremers, Daniel 6 2015 Variational regularisation for inverse problems with imperfect forward operators and general noise models. Zbl 1454.49037 Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane 6 2020 A primal-dual approach for a total variation Wasserstein flow. Zbl 1286.94012 Benning, Martin; Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 5 2013 A geometric integration approach to nonsmooth, nonconvex optimisation. Zbl 1500.65033 Riis, Erlend S.; Ehrhardt, Matthias J.; Quispel, G. R. W.; Schönlieb, Carola-Bibiane 5 2022 An anisotropic interaction model for simulating fingerprints. Zbl 1420.35436 Düring, Bertram; Gottschlich, Carsten; Huckemann, Stephan; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 4 2019 The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009 Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane 4 2008 Stability analysis of line patterns of an anisotropic interaction model. Zbl 1430.35026 Carrillo, José A.; Düring, Bertram; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 4 2019 A variational model dedicated to joint segmentation, registration, and atlas generation for shape analysis. Zbl 07196107 Debroux, Noémie; Aston, John; Bonardi, Fabien; Forbes, Alistair; Guyader, Carole Le; Romanchikova, Marina; Schönlieb, Carola-Bibiane 4 2020 Learning filter functions in regularisers by minimising quotients. Zbl 1489.68218 Benning, Martin; Gilboa, Guy; Grah, Joana Sarah; Schönlieb, Carola-Bibiane 4 2017 Task adapted reconstruction for inverse problems. Zbl 07543696 Adler, Jonas; Lunz, Sebastian; Verdier, Olivier; Schönlieb, Carola-Bibiane; Öktem, Ozan 4 2022 Accelerating variance-reduced stochastic gradient methods. Zbl 1489.90113 Driggs, Derek; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane 3 2022 Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030 Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim 3 2019 Equivariant neural networks for inverse problems. Zbl 1538.68039 Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia 3 2021 A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting. Zbl 1270.65046 Düring, Bertram; Schönlieb, Carola-Bibiane 3 2012 A total variation based regularizer promoting piecewise-Lipschitz reconstructions. Zbl 1537.68203 Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane; Stollenwerk, Christiane 3 2019 Nonlocal higher order evolution equations. Zbl 1191.35063 Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2010 The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case. Zbl 1181.49006 Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2008 Introduction: Big data and partial differential equations. Zbl 1386.35008 2 2017 Bregman Itoh-Abe methods for sparse optimisation. Zbl 1491.65045 Benning, Martin; Riis, Erlend Skaldehaug; Schönlieb, Carola-Bibiane 2 2020 Tomographic reconstruction with spatially varying parameter selection. Zbl 1504.68272 Dong, Yiqiu; Schönlieb, Carola-Bibiane 2 2020 TFPnP: tuning-free plug-and-play proximal algorithms with applications to inverse imaging problems. Zbl 07625169 Wei, Kaixuan; Aviles-Rivero, Angelica; Liang, Jingwei; Fu, Ying; Huang, Hua; Schönlieb, Carola-Bibiane 2 2022 Dynamical systems-based neural networks. Zbl 1535.65091 Celledoni, Elena; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia 2 2023 Can physics-informed neural networks beat the finite element method? Zbl 07937021 Grossmann, Tamara G.; Komorowska, Urszula Julia; Latz, Jonas; Schönlieb, Carola-Bibiane 2 2024 An optimization problem related to the best Sobolev trace constant in thin domains. Zbl 1357.49027 Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 1 2008 Spectral decomposition of atomic structures in heterogeneous cryo-EM. Zbl 1507.78008 Esteve-Yagüe, Carlos; Diepeveen, Willem; Öktem, Ozan; Schönlieb, Carola-Bibiane 1 2023 Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. Zbl 1500.94003 Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane 1 2020 Scanning electron diffraction tomography of strain. Zbl 1457.78011 Tovey, Robert; Johnstone, Duncan N.; Collins, Sean M.; Lionheart, William R. B.; Midgley, Paul A.; Benning, Martin; Schönlieb, Carola-Bibiane 1 2021 Guidefill: GPU accelerated, artist guided geometric inpainting for 3D conversion of film. Zbl 1451.94009 Hocking, L. Robert; MacKenzie, Russell; Schönlieb, Carola-Bibiane 1 2017 On biased stochastic gradient estimation. Zbl 07625177 Driggs, Derek; Liang, Jingwei; Schönlieb, Carola-Bibiane 1 2022 Partial differential equations and variational methods for geometric processing of images. Zbl 1476.49007 Buet, Blanche; Mirebeau, Jean-Marie; van Gennip, Yves; Desquilbet, François; Dreo, Johann; Barbaresco, Frédéric; Leonardi, Gian Paolo; Masnou, Simon; Schönlieb, Carola-Bibiane 1 2019 Designing stable neural networks using convex analysis and ODEs. Zbl 1541.65055 Sherry, Ferdia; Celledoni, Elena; Ehrhardt, Matthias J.; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane 1 2024 Stochastic primal-dual hybrid gradient algorithm with adaptive step sizes. Zbl 1547.65057 Chambolle, Antonin; Delplancke, Claire; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane; Tang, Junqi 1 2024 Total directional variation for video denoising. Zbl 1536.94007 Parisotto, Simone; Schönlieb, Carola-Bibiane 1 2019 Can physics-informed neural networks beat the finite element method? Zbl 07937021 Grossmann, Tamara G.; Komorowska, Urszula Julia; Latz, Jonas; Schönlieb, Carola-Bibiane 2 2024 Designing stable neural networks using convex analysis and ODEs. Zbl 1541.65055 Sherry, Ferdia; Celledoni, Elena; Ehrhardt, Matthias J.; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane 1 2024 Stochastic primal-dual hybrid gradient algorithm with adaptive step sizes. Zbl 1547.65057 Chambolle, Antonin; Delplancke, Claire; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane; Tang, Junqi 1 2024 Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Zbl 1527.94003 6 2023 Dynamical systems-based neural networks. Zbl 1535.65091 Celledoni, Elena; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia 2 2023 Spectral decomposition of atomic structures in heterogeneous cryo-EM. Zbl 1507.78008 Esteve-Yagüe, Carlos; Diepeveen, Willem; Öktem, Ozan; Schönlieb, Carola-Bibiane 1 2023 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163 Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 12 2022 A geometric integration approach to nonsmooth, nonconvex optimisation. Zbl 1500.65033 Riis, Erlend S.; Ehrhardt, Matthias J.; Quispel, G. R. W.; Schönlieb, Carola-Bibiane 5 2022 Task adapted reconstruction for inverse problems. Zbl 07543696 Adler, Jonas; Lunz, Sebastian; Verdier, Olivier; Schönlieb, Carola-Bibiane; Öktem, Ozan 4 2022 Accelerating variance-reduced stochastic gradient methods. Zbl 1489.90113 Driggs, Derek; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane 3 2022 TFPnP: tuning-free plug-and-play proximal algorithms with applications to inverse imaging problems. Zbl 07625169 Wei, Kaixuan; Aviles-Rivero, Angelica; Liang, Jingwei; Fu, Ying; Huang, Hua; Schönlieb, Carola-Bibiane 2 2022 On biased stochastic gradient estimation. Zbl 07625177 Driggs, Derek; Liang, Jingwei; Schönlieb, Carola-Bibiane 1 2022 Structure-preserving deep learning. Zbl 1538.68038 Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schönlieb, C.-B.; Sherry, F. 17 2021 On learned operator correction in inverse problems. Zbl 1474.65182 Lunz, Sebastian; Hauptmann, Andreas; Tarvainen, Tanja; Schönlieb, Carola-Bibiane; Arridge, Simon 10 2021 A stochastic proximal alternating minimization for nonsmooth and nonconvex optimization. Zbl 1479.90166 Driggs, Derek; Tang, Junqi; Liang, Jingwei; Davies, Mike; Schönlieb, Carola-Bibiane 8 2021 Choose your path wisely: gradient descent in a Bregman distance framework. Zbl 1480.90197 Benning, Martin; Betcke, Marta M.; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane 7 2021 Equivariant neural networks for inverse problems. Zbl 1538.68039 Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia 3 2021 Scanning electron diffraction tomography of strain. Zbl 1457.78011 Tovey, Robert; Johnstone, Duncan N.; Collins, Sean M.; Lionheart, William R. B.; Midgley, Paul A.; Benning, Martin; Schönlieb, Carola-Bibiane 1 2021 Higher-order total directional variation: analysis. Zbl 1444.47020 Parisotto, Simone; Masnou, Simon; Schönlieb, Carola-Bibiane 10 2020 Template-based image reconstruction from sparse tomographic data. Zbl 1461.49048 Lang, Lukas F.; Neumayer, Sebastian; Öktem, Ozan; Schönlieb, Carola-Bibiane 7 2020 Higher-order total directional variation: imaging applications. Zbl 07292249 Parisotto, Simone; Lellmann, Jan; Masnou, Simon; Schönlieb, Carola-Bibiane 6 2020 Variational regularisation for inverse problems with imperfect forward operators and general noise models. Zbl 1454.49037 Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane 6 2020 A variational model dedicated to joint segmentation, registration, and atlas generation for shape analysis. Zbl 07196107 Debroux, Noémie; Aston, John; Bonardi, Fabien; Forbes, Alistair; Guyader, Carole Le; Romanchikova, Marina; Schönlieb, Carola-Bibiane 4 2020 Bregman Itoh-Abe methods for sparse optimisation. Zbl 1491.65045 Benning, Martin; Riis, Erlend Skaldehaug; Schönlieb, Carola-Bibiane 2 2020 Tomographic reconstruction with spatially varying parameter selection. Zbl 1504.68272 Dong, Yiqiu; Schönlieb, Carola-Bibiane 2 2020 Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. Zbl 1500.94003 Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane 1 2020 Solving inverse problems using data-driven models. Zbl 1429.65116 Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane 149 2019 Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249 Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane 23 2019 Linkage between piecewise constant Mumford-Shah model and Rudin-Osher-Fatemi model and its virtue in image segmentation. Zbl 1454.94012 Cai, Xiaohao; Chan, Raymond; Schönlieb, Carola-Bibiane; Steidl, Gabriele; Zeng, Tieyong 14 2019 Directional sinogram inpainting for limited angle tomography. Zbl 1407.92074 Tovey, Robert; Benning, Martin; Brune, Christoph; Lagerwerf, Marinus J.; Collins, Sean M.; Leary, Rowan K.; Midgley, Paul A.; Schönlieb, Carola-Bibiane 11 2019 Enhancing joint reconstruction and segmentation with non-convex Bregman iteration. Zbl 1448.94008 Corona, Veronica; Benning, Martin; Ehrhardt, Matthias J.; Gladden, Lynn F.; Mair, Richard; Reci, Andi; Sederman, Andrew J.; Reichelt, Stefanie; Schönlieb, Carola-Bibiane 8 2019 An anisotropic interaction model for simulating fingerprints. Zbl 1420.35436 Düring, Bertram; Gottschlich, Carsten; Huckemann, Stephan; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 4 2019 Stability analysis of line patterns of an anisotropic interaction model. Zbl 1430.35026 Carrillo, José A.; Düring, Bertram; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 4 2019 Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030 Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim 3 2019 A total variation based regularizer promoting piecewise-Lipschitz reconstructions. Zbl 1537.68203 Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane; Stollenwerk, Christiane 3 2019 Partial differential equations and variational methods for geometric processing of images. Zbl 1476.49007 Buet, Blanche; Mirebeau, Jean-Marie; van Gennip, Yves; Desquilbet, François; Dreo, Johann; Barbaresco, Frédéric; Leonardi, Gian Paolo; Masnou, Simon; Schönlieb, Carola-Bibiane 1 2019 Total directional variation for video denoising. Zbl 1536.94007 Parisotto, Simone; Schönlieb, Carola-Bibiane 1 2019 Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. Zbl 06951767 Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane 45 2018 A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009 Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane 17 2018 Variational image regularization with Euler’s elastica using a discrete gradient scheme. Zbl 1426.49031 Ringholm, Torbjørn; Lazić, Jasmina; Schönlieb, Carola-Bibiane 13 2018 Blind image fusion for hyperspectral imaging with the directional total variation. Zbl 1481.94009 Bungert, Leon; Coomes, David A.; Ehrhardt, Matthias J.; Rasch, Jennifer; Reisenhofer, Rafael; Schönlieb, Carola-Bibiane 10 2018 Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024 Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane 8 2018 Inverse scale space decomposition. Zbl 1468.62352 Foged Schmidt, Marie; Benning, Martin; Schönlieb, Carola-Bibiane 8 2018 Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010 De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 45 2017 Bilevel approaches for learning of variational imaging models. Zbl 1468.94014 Calatroni, Luca; Cao, Chung; de los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane; Vakonen, Tuomo 31 2017 Infimal convolution of data discrepancies for mixed noise removal. Zbl 1412.94005 Calatroni, Luca; De Los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 29 2017 Learning optimal spatially-dependent regularization parameters in total variation image denoising. Zbl 1371.49018 van Chung, Cao; De Los Reyes, J. C.; Schönlieb, C. B. 24 2017 Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. Zbl 1369.94019 Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah M.; Flenner, Arjuna 13 2017 Discrete gradient methods for solving variational image regularisation models. Zbl 1371.94146 Grimm, V.; McLachlan, Robert I.; McLaren, David I.; Quispel, G. R. W.; Schönlieb, C.-B. 12 2017 Learning filter functions in regularisers by minimising quotients. Zbl 1489.68218 Benning, Martin; Gilboa, Guy; Grah, Joana Sarah; Schönlieb, Carola-Bibiane 4 2017 Introduction: Big data and partial differential equations. Zbl 1386.35008 2 2017 Guidefill: GPU accelerated, artist guided geometric inpainting for 3D conversion of film. Zbl 1451.94009 Hocking, L. Robert; MacKenzie, Russell; Schönlieb, Carola-Bibiane 1 2017 The structure of optimal parameters for image restoration problems. Zbl 1327.49063 De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 26 2016 Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. Zbl 1342.49014 Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane 17 2016 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009 Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 25 2015 Partial differential equation methods for image inpainting. Zbl 1335.94002 Schönlieb, Carola-Bibiane 23 2015 Analysis and application of a nonlocal Hessian. Zbl 1330.94010 Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel 11 2015 Variational depth from focus reconstruction. Zbl 1408.94486 Moeller, Michael; Benning, Martin; Schönlieb, Carola; Cremers, Daniel 6 2015 A combined first and second order variational approach for image reconstruction. Zbl 1362.94009 Papafitsoros, K.; Schönlieb, C. B. 93 2014 Imaging with Kantorovich-Rubinstein discrepancy. Zbl 1308.49043 Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo 36 2014 Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214 Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B. 14 2014 Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints. Zbl 1333.94008 Calatroni, Luca; De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 11 2014 ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing. Zbl 1279.65096 Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 8 2014 Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005 De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 53 2013 Bregmanized domain decomposition for image restoration. Zbl 1308.94020 Langer, Andreas; Osher, Stanley; Schönlieb, Carola-Bibiane 14 2013 A primal-dual approach for a total variation Wasserstein flow. Zbl 1286.94012 Benning, Martin; Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 5 2013 Regularized regression and density estimation based on optimal transport. Zbl 1318.62122 Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane 23 2012 Wavelet decomposition method for \(L_2\)/TV-image deblurring. Zbl 1259.65101 Fornasier, M.; Kim, Y.; Langer, A.; Schönlieb, C.-B. 7 2012 A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting. Zbl 1270.65046 Düring, Bertram; Schönlieb, Carola-Bibiane 3 2012 Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016 Schönlieb, Carola-Bibiane; Bertozzi, Andrea 49 2011 A convergent overlapping domain decomposition method for total variation minimization. Zbl 1206.65170 Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane 26 2010 Nonlocal higher order evolution equations. Zbl 1191.35063 Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2010 Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007 Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane 68 2009 Subspace correction methods for total variation and \(\ell_1\)-minimization. Zbl 1203.65098 Fornasier, Massimo; Schönlieb, Carola-Bibiane 31 2009 Total variation minimization with an \(H^{-1}\) constraint. Zbl 1178.65072 Schönlieb, Carola-Bibiane 6 2009 The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009 Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane 4 2008 The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case. Zbl 1181.49006 Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2008 An optimization problem related to the best Sobolev trace constant in thin domains. Zbl 1357.49027 Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 1 2008 all cited Publications top 5 cited Publications all top 5 Cited by 1,366 Authors 51 Schönlieb, Carola-Bibiane 18 Laghrib, Amine 16 Burger, Martin 14 De los Reyes, Juan Carlos 13 Öktem, Ozan 12 Calatroni, Luca 12 Tai, Xuecheng 12 Valkonen, Tuomo 11 Ehrhardt, Matthias Joachim 11 Hadri, Aissam 10 Nachaoui, Mourad 10 Pereyra, Marcelo 10 Steidl, Gabriele 9 Arridge, Simon R. 9 Chambolle, Antonin 9 Chang, Huibin 9 Lee, Chang-Ock 9 Schmitzer, Bernhard 9 Zeng, Tie Yong 8 Hintermüller, Michael 8 Lv, Xiaoguang 8 Maass, Peter 8 Peyré, Gabriel 8 Zhang, Xiaoqun 7 Benning, Martin 7 Bergmann, Ronny 7 Bungert, Leon 7 Celledoni, Elena 7 Fuchs, Martin 7 Holler, Martin 7 Huang, Ting-Zhu 7 Park, Jongho 7 Pock, Thomas 7 Van Gennip, Yves 6 Afraites, Lekbir 6 Bildhauer, Michael 6 Debroux, Noémie 6 Duan, Yuping 6 Fakih, Hussein 6 Han, Deren 6 Hauptmann, Andreas S. 6 Jung, Miyoun 6 Korolev, Yury M. 6 Liu, Jun 6 Masnou, Simon 6 Miranville, Alain M. 6 Wu, Chunlin 5 Bredies, Kristian 5 Cai, Xingju 5 Chan, Raymond Hon-Fu 5 Düring, Bertram 5 Elmoataz, Abderrahim 5 Kluth, Tobias 5 Kutyniok, Gitta 5 Le Guyader, Carole 5 Liu, Jun 5 Ng, Michael Kwok-Po 5 Osher, Stanley Joel 5 Owren, Brynjulf 5 Papafitsoros, Kostas 5 Petersen, Philipp Christian 5 Santacesaria, Matteo 5 Stoll, Martin 5 Tenbrinck, Daniel 5 Weickert, Joachim 4 Alberti, Giovanni S. 4 Chen, Chong 4 Cherfils, Laurence 4 Choi, Jae Kyu 4 De Bortoli, Valentin 4 Dong, Bin 4 Durmus, Alain 4 Gao, Yiming 4 Gilboa, Guy 4 Hakim, Abdelilah 4 Halim, Abdul Hakim 4 Heilenkötter, Nick 4 Kang, Myungjoo 4 Kogut, Peter I. 4 Kreusser, Lisa Maria 4 Kumar, Bayya Venkatesulu Rathish 4 Langer, Andreas 4 Lanza, Alessandro 4 Lassas, Matti J. 4 Lellmann, Jan 4 Liang, Jingwei 4 Liu, Hao 4 McLachlan, Robert I. 4 Ochs, Peter 4 Papadakis, Nicolas 4 Papafitsoros, Konstantinos 4 Parisotto, Simone 4 Prato, Marco 4 Quispel, Gilles Reinout Willem 4 Rauhut, Holger 4 Rautenberg, Carlos N. 4 Richtárik, Peter 4 Rosasco, Lorenzo A. 4 Santambrogio, Filippo 4 Scherzer, Otmar ...and 1,266 more Authors all top 5 Cited in 164 Serials 91 SIAM Journal on Imaging Sciences 67 Inverse Problems 49 Journal of Mathematical Imaging and Vision 32 Journal of Scientific Computing 27 Inverse Problems and Imaging 16 Computers & Mathematics with Applications 15 SIAM Journal on Optimization 15 SIAM Journal on Scientific Computing 12 Journal of Computational and Applied Mathematics 12 Computational Optimization and Applications 11 Journal of Computational Physics 11 Numerical Algorithms 11 SIAM Journal on Mathematical Analysis 11 SIAM Journal on Mathematics of Data Science 10 Applied Mathematics and Computation 7 Mathematics of Computation 7 Applied Mathematics and Optimization 7 Journal of Optimization Theory and Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematical Modelling 6 Journal of Mathematical Sciences (New York) 6 Computational and Applied Mathematics 6 ETNA. Electronic Transactions on Numerical Analysis 6 Advances in Computational Mathematics 6 Foundations of Computational Mathematics 6 Oberwolfach Reports 5 Mathematical Methods in the Applied Sciences 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Numerical Analysis 5 European Journal of Applied Mathematics 5 Journal of Nonlinear Science 5 Applied and Computational Harmonic Analysis 5 Journal of Inverse and Ill-Posed Problems 5 Journal of Machine Learning Research (JMLR) 5 Acta Numerica 5 GAMM-Mitteilungen 5 Discrete and Continuous Dynamical Systems. Series S 5 Statistics and Computing 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computer Methods in Applied Mechanics and Engineering 4 Information Sciences 4 Journal of Differential Equations 4 Numerische Mathematik 4 Multidimensional Systems and Signal Processing 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 International Journal of Computer Mathematics 4 SIAM Review 4 Mathematical Problems in Engineering 4 Nonlinear Analysis. Real World Applications 4 Inverse Problems in Science and Engineering 3 Archive for Rational Mechanics and Analysis 3 BIT 3 Japan Journal of Industrial and Applied Mathematics 3 Mathematical Programming. Series A. Series B 3 Calculus of Variations and Partial Differential Equations 3 Optimization Methods & Software 3 Multiscale Modeling & Simulation 3 Research in the Mathematical Sciences 2 Applicable Analysis 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of the Franklin Institute 2 Journal of Mathematical Biology 2 Nonlinearity 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Numerical Linear Algebra with Applications 2 Journal of Convex Analysis 2 Discrete and Continuous Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 2 Applied Sciences 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Analysis and Applications (Singapore) 2 Optimization Letters 2 Communications in Computational Physics 2 Numerical Mathematics: Theory, Methods and Applications 2 Mathematical Programming Computation 2 Mathematical Control and Related Fields 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Journal of the Operations Research Society of China 2 Journal of Computational Dynamics 2 Communications on Applied Mathematics and Computation 2 Foundations of Data Science 2 Sampling Theory, Signal Processing, and Data Analysis 1 Computers and Fluids 1 Journal of Statistical Physics 1 Annals of the Institute of Statistical Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of the American Statistical Association 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Journal of Computational Mathematics 1 Physica D ...and 64 more Serials all top 5 Cited in 42 Fields 433 Numerical analysis (65-XX) 328 Computer science (68-XX) 312 Information and communication theory, circuits (94-XX) 208 Calculus of variations and optimal control; optimization (49-XX) 185 Operations research, mathematical programming (90-XX) 160 Partial differential equations (35-XX) 74 Statistics (62-XX) 67 Biology and other natural sciences (92-XX) 41 Operator theory (47-XX) 22 Probability theory and stochastic processes (60-XX) 20 Functional analysis (46-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 General and overarching topics; collections (00-XX) 12 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Combinatorics (05-XX) 11 Real functions (26-XX) 11 Optics, electromagnetic theory (78-XX) 8 Integral transforms, operational calculus (44-XX) 8 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Measure and integration (28-XX) 7 Approximations and expansions (41-XX) 7 Mechanics of particles and systems (70-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Geophysics (86-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral equations (45-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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