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Schönlieb, Carola-Bibiane

Author ID: schonlieb.carola-bibiane Recent zbMATH articles by "Schönlieb, Carola-Bibiane"
Published as: Schönlieb, Carola-Bibiane; Schönlieb, Carola; Schönlieb, C.-B.; Schönlieb, C. B.
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

Publications by Year

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 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

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