@article{BotDonElbSch22,
author = {Boţ, R. and Dong, G. and Elbau, P. and Scherzer, O.},
title = {Convergence Rates of First and Higher Order Dynamics for Solving Linear Ill-posed Problems},
doi = {10.1007/s10208-021-09536-6},
journal = {Found. Comput. Math.},
fjournal = {Foundations of Computational Mathematics},
pages = {1567--1629},
pdf = {https://link.springer.com/content/pdf/10.1007/s10208-021-09536-6.pdf},
volume = {22},
year = {2022},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the projects F6804-N36 and F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{FriMelSch22,
author = {Frischauf, L. and Melching, M. and Scherzer, O.},
title = {Diffusion tensor regularization with metric double integrals},
doi = {10.1515/jiip-2021-0041},
journal = {J. Inverse Ill-Posed Probl.},
fjournal = {Journal of Inverse and Ill-Posed Problems},
number = {2},
pages = {163--190},
pdf = {https://www.degruyter.com/document/doi/10.1515/jiip-2021-0041/pdf},
volume = {30},
year = {2022},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{ParSch22,
author = {Parzer, F. and Scherzer, O.},
title = {On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems},
doi = {10.1007/s00211-022-01314-y},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
pdf = {https://link.springer.com/content/pdf/10.1007/s00211-022-01314-y.pdf},
url = {https://link.springer.com/article/10.1007/s00211-022-01314-y},
year = {2022},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{CheHofYou21,
author = {Chen, D.-H. and Hofmann, B. and Yousept, I.},
title = {Oversmoothing Tikhonov regularization in Banach spaces},
doi = {10.1088/1361-6420/abcea0},
journal = {Inverse Probl.},
fjournal = {Inverse Problems},
number = {8},
pages = {085007},
pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/abcea0/pdf},
volume = {37},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{GerHofHofKin21,
author = {Gerth, D. and Hofmann, B. and Hofmann, C. and Kindermann, S.},
title = {The Hausdorff moment problem in the light of ill-posedness of type I},
journal = {Eurasian J. Math. Comp. Appl.},
fjournal = {Eurasian Journal of Mathematical and Computer Applications},
number = {2},
pages = {57--87},
pdf = {https://drive.google.com/file/d/1HrfnEh2qYQms2xgCvpcCcFXBKBt8Pp0Y/view},
url = {https://ejmca.enu.kz/archive/},
volume = {9},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{ZhaHof21,
author = {Zhang, Y. and Hofmann, B.},
title = {Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems},
doi = {10.3934/ipi.2020062},
journal = {Inverse Probl. Imaging},
fjournal = {Inverse Problems {\&} Imaging},
number = {2},
pages = {229--256},
volume = {15},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@incollection{HofHofMatPla21,
author = {Hofmann, B. and Hofmann, Ch. and Math{\'e}, P. and Plato, R.},
title = {Nonlinear Tikhonov Regularization in Hilbert Scales with Oversmoothing Penalty: Inspecting Balancing Principles},
booktitle = {Deterministic and Stochastic Optimal Control and Inverse Problems},
doi = {10.1201/9781003050575-4},
pages = {79--111},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
A. Aspri, L. Frischauf, Y. Korolev and O. ScherzerData Driven Reconstruction Using Frames and Riesz BasesIn B. Jadamba, A. A. Khan, S. Migórski and M. Sama, editors, Deterministic and Stochastic Optimal Control and Inverse Problems, 303–318. CRC Press, 2021( | funding | PDF )
@incollection{AspFriKorSch21,
author = {Aspri, A. and Frischauf, L. and Korolev, Y. and Scherzer, O.},
title = {Data Driven Reconstruction Using Frames and Riesz Bases},
booktitle = {Deterministic and Stochastic Optimal Control and Inverse Problems},
doi = {10.1201/9781003050575-13},
editor = {Jadamba, B. and Khan, A.~A. and Migórski, S. and Sama, M.},
pages = {303--318},
publisher = {CRC Press},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@incollection{KalNguSch21,
author = {Kaltenbacher, B. and Nguyen, T.~T.~N. and Scherzer, O.},
title = {The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs},
booktitle = {Time-dependent Problems in Imaging and Parameter Identification},
doi = {10.1007/978-3-030-57784-1_5},
editor = {Kaltenbacher, B. and Schuster, T. and Wald, A.},
pages = {121--163},
publisher = {Springer, Cham},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
M. López-Martínez, G. Mercier, K. Sadiq, O. Scherzer, M. Schneider, J. C. Schotland, G. J. Schütz and R. TelschowInverse Problems of Single Molecule Localization MicroscopyIn B. Kaltenbacher, T. Schuster and A. Wald, editors, Time-dependent Problems in Imaging and Parameter Identification, 323–376. Springer Nature, 2021( | funding | PDF )
@incollection{LopMerSadSchSchn21,
author = {L{\'o}pez-Mart{\'i}nez, M. and Mercier, G. and Sadiq, K. and Scherzer, O. and Schneider, M. and Schotland, J.~C. and Sch{\"u}tz, G.~J. and Telschow, R.},
title = {Inverse Problems of Single Molecule Localization Microscopy},
booktitle = {Time-dependent Problems in Imaging and Parameter Identification},
doi = {10.1007/978-3-030-57784-1_12},
editor = {Kaltenbacher, B. and Schuster, T. and Wald, A.},
pages = {323--376},
publisher = {Springer Nature},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the projects F6807-N36 and F6809-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{SchnTelMerLopSch21,
author = {Schneider, M.~C. and Telschow, R. and Mercier, G. and L{\'o}pez-Mart{\'i}nez, M. and Scherzer, O. and Schütz, G.~J. },
title = {A workflow for sizing oligomeric biomolecules based on cryo single molecule localization microscopy},
doi = {10.1371/journal.pone.0245693},
journal = {{PLoS} {ONE}},
fjournal = {{PLoS} {ONE}},
number = {1},
pages = {e0245693},
pdf = {https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0245693&type=printable},
url = {https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0245693},
volume = {16},
year = {2021},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the projects F6807-N36 and F6809-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{GonHofZha20,
author = {Gong, R. and Hofmann, B. and Zhang, Y.},
title = {A new class of accelerated regularization methods, with application to bioluminescence tomography},
doi = {10.1088/1361-6420/ab730b},
journal = {Inverse Probl.},
fjournal = {Inverse Problems},
number = {5},
pages = {055013},
volume = {36},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{HofHof20,
author = {Hofmann, B. and Hofmann, Ch.},
title = {The Impact of the Discrepancy Principle on the Tikhonov-Regularized Solutions with Oversmoothing Penalties},
doi = {10.3390/math8030331},
journal = {Math.},
fjournal = {Mathematics},
number = {3},
pages = {331},
volume = {8},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{HofPla20,
author = {Hofmann, B. and Plato, R.},
title = {Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term},
doi = {10.1553/etna_vol53s313},
journal = {Electron. Trans. Numer. Anal.},
fjournal = {Electronic Transactions on Numerical Analysis},
pages = {313--328},
volume = {53},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{MatNaiHof20,
author = {Math{\'e}, P. and Nair, M.~T. and Hofmann, B.},
title = {Regularization of linear ill-posed problems involving multiplication operators},
doi = {10.1080/00036811.2020.1758308},
journal = {Appl. Anal.},
fjournal = {Applicable Analysis},
number = {2},
pages = {714--732},
volume = {101},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{WerHof20,
author = {Werner, F. and Hofmann, B.},
title = {Convergence analysis of (statistical) inverse problems under conditional stability estimates},
doi = {10.1088/1361-6420/ab4cd7},
journal = {Inverse Probl.},
fjournal = {Inverse Problems},
number = {1},
pages = {015004},
volume = {36},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{ZhaHof20,
author = {Zhang, Y. and Hofmann, B.},
title = {On the second-order asymptotical regularization of linear ill-posed inverse problems},
doi = {10.1080/00036811.2018.1517412},
journal = {Appl. Anal.},
fjournal = {Applicable Analysis},
number = {6},
pages = {1000--1025},
volume = {99},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@incollection{GerHofHof20,
author = {Gerth, D. and Hofmann, B. and Hofmann, Ch.},
title = {Case Studies and a Pitfall for Nonlinear Variational Regularization Under Conditional Stability},
booktitle = {Springer Proceedings in Mathematics {\&} Statistics},
doi = {10.1007/978-981-15-1592-7_9},
pages = {177--203},
publisher = {Springer Singapore},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@incollection{HofMat20,
author = {Hofmann, B. and Math{\'e}, P.},
title = {A Priori Parameter Choice in Tikhonov Regularization with Oversmoothing Penalty for Non-linear Ill-Posed Problems},
booktitle = {Springer Proceedings in Mathematics {\&} Statistics},
doi = {10.1007/978-981-15-1592-7_8},
pages = {169--176},
publisher = {Springer Singapore},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@incollection{RamKouHof20,
author = {Ramlau, R. and Koutschan, Ch. and Hofmann, B.},
title = {On the Singular Value Decomposition of n-Fold Integration Operators},
booktitle = {Springer Proceedings in Mathematics {\&} Statistics},
doi = {10.1007/978-981-15-1592-7_11},
pages = {237--256},
publisher = {Springer Singapore},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6805-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
(author's post print; this is an Accepted Manuscript of an article published by Taylor & Francis in Numerical Functional Analysis and Optimization in 2020 available online)
@article{AspBanOekSch20,
author = {Aspri, A. and Banert, S. and Öktem, O. and Scherzer, O.},
title = {A Data-Driven Iteratively Regularized Landweber Iteration},
doi = {10.1080/01630563.2020.1740734},
journal = {Numer. Funct. Anal. Optim.},
fjournal = {Numerical Functional Analysis and Optimization},
month = mar,
number = {10},
pages = {1190--1227},
url = {https://www.tandfonline.com/doi/full/10.1080/01630563.2020.1740734},
volume = {41},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
(author's post print; this is an Accepted Manuscript of an article published by Taylor & Francis in Numerical Functional Analysis and Optimization in 2020 available online)
@article{AspBerSchMus20,
author = {Aspri, A. and Beretta, E. and Scherzer, O. and Muszkieta, M.},
title = {Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography},
doi = {10.1137/20m1317062},
journal = {{SIAM} J. Imaging Sciences},
fjournal = {{SIAM} Journal on Imaging Sciences},
number = {4},
pages = {1781--1833},
volume = {13},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{AspKorSch20,
author = {Aspri, A. and Korolev, Y. and Scherzer, O.},
title = {Data driven regularization by projection},
doi = {10.1088/1361-6420/abb61b},
journal = {Inverse Probl.},
fjournal = {Inverse Problems},
month = dec,
number = {12},
pages = {125009},
pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/abb61b/pdf},
url = {https://iopscience.iop.org/article/10.1088/1361-6420/abb61b},
volume = {36},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{BeiSogZul20,
author = {Beigl, A. and Sogn, J. and Zulehner, W.},
title = {Robust Preconditioners for Multiple Saddle Point Problems and Applications to Optimal Control Problems},
doi = {10.1137/19m1308426},
journal = {{SIAM} J. Matrix Anal. Appl.},
fjournal = {{SIAM} Journal on Matrix Analysis and Applications},
number = {4},
pages = {1590--1615},
url = {https://epubs.siam.org/doi/10.1137/19M1308426},
volume = {41},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{FauSchBar20,
author = {Faucher, F. and Scherzer, O. and Barucq, H.},
title = {Eigenvector Models for Solving the Seismic Inverse Problem for the Helmholtz Equation},
doi = {10.1093/gji/ggaa009},
issue = {1},
journal = {Geophys. J. Int.},
fjournal = {Geophysical Journal International},
month = jan,
pages = {394--414},
pdf = {https://academic.oup.com/gji/advance-article-pdf/doi/10.1093/gji/ggaa009/31766660/ggaa009.pdf},
url = {https://academic.oup.com/gji/article/221/1/394/5698305},
volume = {221},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) under the Lise Meitner fellowship M 2791-N. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{MelSch20,
author = {Melching, M. and Scherzer, O.},
title = {Regularization with metric double integrals for vector tomography},
doi = {10.1515/jiip-2019-0084},
journal = {J. Inverse Ill-Posed Probl.},
fjournal = {Journal of Inverse and Ill-Posed Problems},
number = {6},
pages = {857--875},
pdf = {https://www.degruyter.com/document/doi/10.1515/jiip-2019-0084/pdf},
url = {https://www.degruyter.com/document/doi/10.1515/jiip-2019-0084/html},
volume = {28},
year = {2020},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{HinHofQuy19,
author = {Hinze, M. and Hofmann, B. and Quyen, T.~N.~T.},
title = {A regularization approach for an inverse source problem in elliptic systems from single Cauchy data},
doi = {10.1080/01630563.2019.1596953},
issn = {0163-0563},
journal = {Numer. Funct. Anal. Optim.},
fjournal = {Numerical Functional Analysis and Optimization},
number = {9},
pages = {1080--1112},
volume = {40},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{HofHofPic19,
author = {Hofmann, Ch. and Hofmann, B. and Pichler, A.},
title = {Simultaneous identification of volatility and interest rate functions a two-parameter regularization approach},
doi = {10.1553/etna_vol51s99},
issn = {1068–9613},
journal = {Electron. Trans. Numer. Anal.},
fjournal = {Electronic Transactions on Numerical Analysis},
pages = {99--117},
volume = {51},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{HofKinMat19,
author = {Hofmann, B. and Kindermann, S. and Math{\'e}, P.},
title = {Penalty-based smoothness conditions in convex variational regularization},
doi = {10.1515/jiip-2018-0039},
journal = {J. Inverse Ill-Posed Probl.},
fjournal = {Journal of Inverse and Ill-Posed Problems},
number = {2},
pages = {283--300},
volume = {27},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{PlaHof19,
author = {Plato, R. and Hofmann, B.},
title = {A regularized variational inequality approach for nonlinear monotone ill-posed equations},
doi = {10.1007/s10957-019-01531-w},
issn = {0022-3239},
journal = {J. Optim. Theory Appl.},
fjournal = {Journal of Optimization Theory and Applications},
number = {2},
pages = {525--539},
volume = {182},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{WanLuHofChe19,
author = {Wang, W. and Lu, S. and Hofmann, B. and Cheng, J.},
title = {Tikhonov regularization with $\ell^0$-term complementing a~convex penalty: $\ell^1$-convergence under sparsity constraints},
doi = {10.1515/jiip-2019-0008},
journal = {J. Inverse Ill-Posed Probl.},
fjournal = {Journal of Inverse and Ill-Posed Problems},
number = {4},
pages = {575--590},
volume = {27},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{ZhaHof19,
author = {Zhang, Y. and Hofmann, B.},
title = {On fractional asymptotical regularization of linear ill-posed problems in Hilbert spaces.},
journal = {Fract. Calc. Appl. Anal.},
fjournal = {Fractional Calculus and Applied Analysis},
number = {3},
pages = {699--721},
url = {https://www.degruyter.com/view/journals/fca/22/3/article-p699.xml?language=en},
volume = {22},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{BeiSchSogZul19,
author = {Beigl, A. and Scherzer, O. and Sogn, J. and Zulehner, W.},
title = {Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography},
doi = {10.1088/1361-6420/ab3d08},
journal = {Inverse Probl.},
fjournal = {Inverse Problems},
month = dec,
number = {1},
pages = {014002},
pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/ab3d08/pdf},
url = {https://iopscience.iop.org/article/10.1088/1361-6420/ab3d08},
volume = {36},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) within the FSP S117 - "Geometry and Simulation". Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@inproceedings{BotDonElbSch19,
author = {Bo{\c{t}}, R. and Dong, G. and Elbau, P. and Scherzer, O.},
title = {Convergence Rates of First and Higher Order Dynamics for Solving Linear Inverse Problems},
booktitle = {Tomographic Inverse Problems: Theory and Applications},
doi = {10.4171/owr/2019/4},
number = {16},
pages = {227--229},
pdf = {https://publications.mfo.de/bitstream/handle/mfo/3720/OWR_2019_04.pdf?sequence=1&isAllowed=y},
publisher = {EMS Publishing House},
series = {Oberwolfach reports},
url = {https://publications.mfo.de/handle/mfo/3720},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) within the FSP S117 - "Geometry and Simulation". Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the projects F6804-N36 and F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{CiaMelSch19,
author = {Ciak, R. and Melching, M. and Scherzer, O.},
title = {Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors},
doi = {10.1007/s10851-018-00869-6},
journal = {J. Math. Imaging Vision},
fjournal = {Journal of Mathematical Imaging and Vision},
pdf = {https://link.springer.com/content/pdf/10.1007%2Fs10851-018-00869-6.pdf},
url = {https://link.springer.com/article/10.1007/s10851-018-00869-6},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) within the FSP S117 - "Geometry and Simulation". Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
@article{KirSchSet19a,
author = {Kirisits, C. and Scherzer, O. and Setterqvist, E.},
title = {Invariant $\varphi$-Minimal Sets and Total Variation Denoising on Graphs},
doi = {10.1137/19m124126x},
journal = {{SIAM} J. Imaging Sciences},
fjournal = {{SIAM} Journal on Imaging Sciences},
number = {4},
pages = {1643-1668},
volume = {12},
year = {2019},
}
Funded by the Austrian Science Fund (FWF) within the FSP S117 - "Geometry and Simulation". Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{EggHof18,
author = {Egger, H. and Hofmann, B.},
title = {{T}ikhonov regularization in {H}ilbert scales under conditional stability assumptions},
doi = {10.1088/1361-6420/aadef4},
journal = {Inverse Probl.},
fjournal = {Inverse Problems},
number = {11},
pages = {115015},
volume = {34},
year = {2018},
}
Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods"
@article{KirSch18,
author = {Kirisits, C. and Scherzer, O.},
title = {A Range Condition for Polyconvex Variational Regularization},
doi = {10.1080/01630563.2018.1467447},
journal = {Numer. Funct. Anal. Optim.},
fjournal = {Numerical Functional Analysis and Optimization},
number = {10},
pages = {1064-1076},
pdf = {https://www.tandfonline.com/doi/pdf/10.1080/01630563.2018.1467447},
url = {https://www.tandfonline.com/doi/full/10.1080/01630563.2018.1467447},
volume = {39},
year = {2018},
}
Funded by the Austrian Science Fund (FWF) within the FSP S117 - "Geometry and Simulation". Funded by the Austrian Science Fund (FWF) and Deutsche Forschungsgemeinschaft (DFG) within the project I 3661 and HO 1454/12 - "Novel Error Measures and Source Conditions of Regularization Methods". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
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