Obmann, Daniel; Haltmeier, Markus Convergence analysis of critical point regularization with non-convex regularizers. (English) Zbl 1520.65035 Inverse Probl. 39, No. 8, Article ID 085004, 23 p. (2023). MSC: 65J22 65J20 PDFBibTeX XMLCite \textit{D. Obmann} and \textit{M. Haltmeier}, Inverse Probl. 39, No. 8, Article ID 085004, 23 p. (2023; Zbl 1520.65035) Full Text: DOI arXiv
Göppel, Simon; Frikel, Jürgen; Haltmeier, Markus Translation invariant diagonal frame decomposition of inverse problems and their regularization. (English) Zbl 1515.65143 Inverse Probl. 39, No. 6, Article ID 065011, 21 p. (2023). MSC: 65J22 65J20 PDFBibTeX XMLCite \textit{S. Göppel} et al., Inverse Probl. 39, No. 6, Article ID 065011, 21 p. (2023; Zbl 1515.65143) Full Text: DOI arXiv
Boink, Yoeri E.; Haltmeier, Markus; Holman, Sean; Schwab, Johannes Data-consistent neural networks for solving nonlinear inverse problems. (English) Zbl 1516.65042 Inverse Probl. Imaging 17, No. 1, 203-229 (2023). MSC: 65J20 68T07 65J22 45F05 PDFBibTeX XMLCite \textit{Y. E. Boink} et al., Inverse Probl. Imaging 17, No. 1, 203--229 (2023; Zbl 1516.65042) Full Text: DOI arXiv
Ebner, Andrea; Frikel, Jürgen; Lorenz, Dirk; Schwab, Johannes; Haltmeier, Markus Regularization of inverse problems by filtered diagonal frame decomposition. (English) Zbl 07628774 Appl. Comput. Harmon. Anal. 62, 66-83 (2023). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{A. Ebner} et al., Appl. Comput. Harmon. Anal. 62, 66--83 (2023; Zbl 07628774) Full Text: DOI arXiv
Obmann, Daniel; Schwab, Johannes; Haltmeier, Markus Deep synthesis network for regularizing inverse problems. (English) Zbl 1515.65145 Inverse Probl. 37, No. 1, Article ID 015005, 24 p. (2021). MSC: 65J22 68T07 PDFBibTeX XMLCite \textit{D. Obmann} et al., Inverse Probl. 37, No. 1, Article ID 015005, 24 p. (2021; Zbl 1515.65145) Full Text: DOI arXiv
Frikel, Jürgen; Haltmeier, Markus Sparse regularization of inverse problems by operator-adapted frame thresholding. (English) Zbl 1520.47028 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 163-178 (2020). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 65F50 65J20 PDFBibTeX XMLCite \textit{J. Frikel} and \textit{M. Haltmeier}, in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 163--178 (2020; Zbl 1520.47028) Full Text: DOI arXiv
Li, Housen; Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus NETT: solving inverse problems with deep neural networks. (English) Zbl 1456.65038 Inverse Probl. 36, No. 6, Article ID 065005, 23 p. (2020). MSC: 65J22 62G05 68T07 94A08 PDFBibTeX XMLCite \textit{H. Li} et al., Inverse Probl. 36, No. 6, Article ID 065005, 23 p. (2020; Zbl 1456.65038) Full Text: DOI arXiv
Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus Big in Japan: regularizing networks for solving inverse problems. (English) Zbl 1434.68525 J. Math. Imaging Vis. 62, No. 3, 445-455 (2020). MSC: 68T07 45F05 65J20 65J22 PDFBibTeX XMLCite \textit{J. Schwab} et al., J. Math. Imaging Vis. 62, No. 3, 445--455 (2020; Zbl 1434.68525) Full Text: DOI arXiv
Rabanser, Simon; Neumann, Lukas; Haltmeier, Markus Analysis of the block coordinate descent method for linear ill-posed problems. (English) Zbl 07198490 SIAM J. Imaging Sci. 12, No. 4, 1808-1832 (2019). MSC: 65J20 44A12 47J06 PDFBibTeX XMLCite \textit{S. Rabanser} et al., SIAM J. Imaging Sci. 12, No. 4, 1808--1832 (2019; Zbl 07198490) Full Text: DOI arXiv
Haltmeier, Markus; Nguyen, Linh V. Reconstruction algorithms for photoacoustic tomography in heterogeneous damping media. (English) Zbl 1455.94020 J. Math. Imaging Vis. 61, No. 7, 1007-1021 (2019). MSC: 94A08 35L15 47J25 PDFBibTeX XMLCite \textit{M. Haltmeier} and \textit{L. V. Nguyen}, J. Math. Imaging Vis. 61, No. 7, 1007--1021 (2019; Zbl 1455.94020) Full Text: DOI arXiv
Li, Housen; Haltmeier, Markus The averaged Kaczmarz iteration for solving inverse problems. (English) Zbl 1401.65059 SIAM J. Imaging Sci. 11, No. 1, 618-642 (2018). MSC: 65J20 65J22 45F05 PDFBibTeX XMLCite \textit{H. Li} and \textit{M. Haltmeier}, SIAM J. Imaging Sci. 11, No. 1, 618--642 (2018; Zbl 1401.65059) Full Text: DOI arXiv
Schiefeneder, Daniela; Haltmeier, Markus The Radon transform over cones with vertices on the sphere and orthogonal axes. (English) Zbl 1371.44001 SIAM J. Appl. Math. 77, No. 4, 1335-1351 (2017). MSC: 44A12 92C55 45E10 65R10 45D05 PDFBibTeX XMLCite \textit{D. Schiefeneder} and \textit{M. Haltmeier}, SIAM J. Appl. Math. 77, No. 4, 1335--1351 (2017; Zbl 1371.44001) Full Text: DOI arXiv
Haltmeier, Markus; Nguyen, Linh V. Analysis of iterative methods in photoacoustic tomography with variable sound speed. (English) Zbl 1371.35347 SIAM J. Imaging Sci. 10, No. 2, 751-781 (2017). MSC: 35R30 92C55 65F10 35A18 74J05 PDFBibTeX XMLCite \textit{M. Haltmeier} and \textit{L. V. Nguyen}, SIAM J. Imaging Sci. 10, No. 2, 751--781 (2017; Zbl 1371.35347) Full Text: DOI arXiv
Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar The residual method for regularizing ill-posed problems. (English) Zbl 1247.65076 Appl. Math. Comput. 218, No. 6, 2693-2710 (2011). Reviewer: Ştefan M. Şoltuz (Westmount) MSC: 65J20 65J15 94A08 94A12 47J06 PDFBibTeX XMLCite \textit{M. Grasmair} et al., Appl. Math. Comput. 218, No. 6, 2693--2710 (2011; Zbl 1247.65076) Full Text: DOI arXiv
Grasmair, Markus; Scherzer, Otmar; Haltmeier, Markus Necessary and sufficient conditions for linear convergence of \(\ell^1\)-regularization. (English) Zbl 1217.65095 Commun. Pure Appl. Math. 64, No. 2, 161-182 (2011). Reviewer: Martín Argerami (Regina) MSC: 65J10 47A52 65J20 65J22 PDFBibTeX XMLCite \textit{M. Grasmair} et al., Commun. Pure Appl. Math. 64, No. 2, 161--182 (2011; Zbl 1217.65095) Full Text: DOI
Haltmeier, Markus Convergence analysis of a block iterative version of the loping Landweber-Kaczmarz iteration. (English) Zbl 1239.65023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2912-e2919 (2009). MSC: 65F10 65J20 PDFBibTeX XMLCite \textit{M. Haltmeier}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2912--e2919 (2009; Zbl 1239.65023) Full Text: DOI
De Cezaro, A.; Haltmeier, M.; Leitão, A.; Scherzer, O. On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations. (English) Zbl 1157.65032 Appl. Math. Comput. 202, No. 2, 596-607 (2008). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65J15 47J06 65J20 92C55 82D37 PDFBibTeX XMLCite \textit{A. De Cezaro} et al., Appl. Math. Comput. 202, No. 2, 596--607 (2008; Zbl 1157.65032) Full Text: DOI arXiv