Publications funded by SCIP

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }

@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}, }