Frischauf, Leon; Scherzer, Otmar; Shi, Cong Quadratic neural networks for solving inverse problems. (English) Zbl 07820070 Numer. Funct. Anal. Optim. 45, No. 2, 112-135 (2024). MSC: 68T07 65J22 65K10 65F20 PDFBibTeX XMLCite \textit{L. Frischauf} et al., Numer. Funct. Anal. Optim. 45, No. 2, 112--135 (2024; Zbl 07820070) Full Text: DOI arXiv OA License
Karner, Clemens; Kazeev, Vladimir; Petersen, Philipp Christian Limitations of neural network training due to numerical instability of backpropagation. (English) Zbl 07811923 Adv. Comput. Math. 50, No. 1, Paper No. 14, 33 p. (2024). MSC: 65G99 68T07 35A18 PDFBibTeX XMLCite \textit{C. Karner} et al., Adv. Comput. Math. 50, No. 1, Paper No. 14, 33 p. (2024; Zbl 07811923) Full Text: DOI arXiv OA License
Duff, M. A. G.; Campbell, N. D. F.; Ehrhardt, M. J. Regularising inverse problems with generative machine learning models. (English) Zbl 07805340 J. Math. Imaging Vis. 66, No. 1, 37-56 (2024). MSC: 68U10 94A08 68Q32 65M32 PDFBibTeX XMLCite \textit{M. A. G. Duff} et al., J. Math. Imaging Vis. 66, No. 1, 37--56 (2024; Zbl 07805340) Full Text: DOI arXiv OA License
Rajan, M. P.; Jose, Jaise An efficient discretization scheme for solving nonlinear ill-posed problems. (English) Zbl 07804039 Comput. Methods Appl. Math. 24, No. 1, 173-184 (2024). MSC: 65J10 65J20 65J22 PDFBibTeX XMLCite \textit{M. P. Rajan} and \textit{J. Jose}, Comput. Methods Appl. Math. 24, No. 1, 173--184 (2024; Zbl 07804039) Full Text: DOI
Polyakova, Anna P.; Svetov, Ivan E. A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method. (English) Zbl 07803167 J. Inverse Ill-Posed Probl. 32, No. 1, 145-160 (2024). MSC: 65R10 65R32 PDFBibTeX XMLCite \textit{A. P. Polyakova} and \textit{I. E. Svetov}, J. Inverse Ill-Posed Probl. 32, No. 1, 145--160 (2024; Zbl 07803167) Full Text: DOI
Giacchi, Gianluca; Milani, Bastien; Franceschiello, Benedetta On the determination of Lagrange multipliers for a weighted Lasso problem using geometric and convex analysis techniques. (English) Zbl 07801981 Appl. Math. Optim. 89, No. 2, Paper No. 31, 34 p. (2024). MSC: 90Cxx 65F20 65F22 92C55 PDFBibTeX XMLCite \textit{G. Giacchi} et al., Appl. Math. Optim. 89, No. 2, Paper No. 31, 34 p. (2024; Zbl 07801981) Full Text: DOI arXiv
Xu, Guixian; Wang, Huihui; Zhou, Qingping Enhancing electrical impedance tomography reconstruction using learned half-quadratic splitting networks with Anderson acceleration. (English) Zbl 07794704 J. Sci. Comput. 98, No. 2, Paper No. 49, 27 p. (2024). MSC: 65J15 65R10 78A46 68U10 68T07 PDFBibTeX XMLCite \textit{G. Xu} et al., J. Sci. Comput. 98, No. 2, Paper No. 49, 27 p. (2024; Zbl 07794704) Full Text: DOI arXiv
Bernigaud, Antoine; Gratton, Serge; Simon, Ehouarn A non-linear conjugate gradient in dual space for \(L_p\)-norm regularized non-linear least squares with application in data assimilation. (English) Zbl 07785655 Numer. Algorithms 95, No. 1, 471-497 (2024). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. Bernigaud} et al., Numer. Algorithms 95, No. 1, 471--497 (2024; Zbl 07785655) Full Text: DOI
Pallikarakis, Nikolaos; Ntargaras, Andreas Application of machine learning regression models to inverse eigenvalue problems. (English) Zbl 07784357 Comput. Math. Appl. 154, 162-174 (2024). MSC: 65-XX 35R30 34A55 34B24 35P25 68T05 PDFBibTeX XMLCite \textit{N. Pallikarakis} and \textit{A. Ntargaras}, Comput. Math. Appl. 154, 162--174 (2024; Zbl 07784357) Full Text: DOI arXiv
Ning, Jianfeng; Han, Fuqun; Zou, Jun A direct sampling-based deep learning approach for inverse medium scattering problems. (English) Zbl 07780881 Inverse Probl. 40, No. 1, Article ID 015005, 26 p. (2024). MSC: 65J22 68T07 35R30 35J05 PDFBibTeX XMLCite \textit{J. Ning} et al., Inverse Probl. 40, No. 1, Article ID 015005, 26 p. (2024; Zbl 07780881) Full Text: DOI arXiv OA License
Dong, Bin On mathematical modeling in image reconstruction and beyond. (English) Zbl 07822599 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5420-5449 (2023). MSC: 65D18 68U10 68T05 65T60 PDFBibTeX XMLCite \textit{B. Dong}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5420--5449 (2023; Zbl 07822599) Full Text: DOI OA License
Ying, Lexing Solving inverse problems with deep learning. (English) Zbl 07822589 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5154-5175 (2023). MSC: 65N21 65N99 68T07 65R32 78A46 74J25 86A22 65F55 35S05 PDFBibTeX XMLCite \textit{L. Ying}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5154--5175 (2023; Zbl 07822589) Full Text: DOI OA License
Correnty, Siobhán; Jarlebring, Elias; Szyld, Daniel B. Preconditioned Chebyshev BiCG method for parameterized linear systems. (English) Zbl 07799508 ETNA, Electron. Trans. Numer. Anal. 58, 629-656 (2023). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{S. Correnty} et al., ETNA, Electron. Trans. Numer. Anal. 58, 629--656 (2023; Zbl 07799508) Full Text: DOI arXiv Link
Arridge, Simon R. (ed.); Burger, Martin (ed.); Hahn, Bernadette (ed.); Quinto, Eric Todd (ed.) Tomographic inverse problems: mathematical challenges and novel applications. Abstracts from the workshop held April 30 – May 5, 2023. (English) Zbl 1528.92002 Oberwolfach Rep. 20, No. 2, 1105-1194 (2023). MSC: 92-06 00B05 00B25 44A12 92C55 65R32 35R30 PDFBibTeX XMLCite \textit{S. R. Arridge} (ed.) et al., Oberwolfach Rep. 20, No. 2, 1105--1194 (2023; Zbl 1528.92002) Full Text: DOI
Pereyra, Marcelo; Vargas-Mieles, Luis A.; Zygalakis, Konstantinos C. The split Gibbs sampler revisited: improvements to its algorithmic structure and augmented target distribution. (English) Zbl 07784236 SIAM J. Imaging Sci. 16, No. 4, 2040-2071 (2023). MSC: 62F15 65C40 65C60 65J22 68U10 68W25 PDFBibTeX XMLCite \textit{M. Pereyra} et al., SIAM J. Imaging Sci. 16, No. 4, 2040--2071 (2023; Zbl 07784236) Full Text: DOI arXiv
Arjas, Arttu; Sillanpää, Mikko J.; Hauptmann, Andreas S. Sequential model correction for nonlinear inverse problems. (English) Zbl 07784235 SIAM J. Imaging Sci. 16, No. 4, 2015-2039 (2023). MSC: 65K10 65F20 94A08 47H10 47A52 PDFBibTeX XMLCite \textit{A. Arjas} et al., SIAM J. Imaging Sci. 16, No. 4, 2015--2039 (2023; Zbl 07784235) Full Text: DOI arXiv
Celledoni, Elena; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia Dynamical systems-based neural networks. (English) Zbl 07781031 SIAM J. Sci. Comput. 45, No. 6, A3071-A3094 (2023). Reviewer: Ünver Çiftçi (Tekirdağ) MSC: 65L05 65L06 37M15 68T07 PDFBibTeX XMLCite \textit{E. Celledoni} et al., SIAM J. Sci. Comput. 45, No. 6, A3071--A3094 (2023; Zbl 07781031) Full Text: DOI arXiv
Arndt, Clemens; Denker, Alexander; Dittmer, Sören; Heilenkötter, Nick; Iske, Meira; Kluth, Tobias; Maass, Peter; Nickel, Judith Invertible residual networks in the context of regularization theory for linear inverse problems. (English) Zbl 07780894 Inverse Probl. 39, No. 12, Article ID 125018, 37 p. (2023). MSC: 65J22 65J20 68T07 PDFBibTeX XMLCite \textit{C. Arndt} et al., Inverse Probl. 39, No. 12, Article ID 125018, 37 p. (2023; Zbl 07780894) Full Text: DOI arXiv OA License
Xia, Yuxin; Han, Bo; Wang, Wei A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces. (English) Zbl 07773430 J. Inverse Ill-Posed Probl. 31, No. 6, 849-872 (2023). MSC: 65J20 65J22 47H12 PDFBibTeX XMLCite \textit{Y. Xia} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 849--872 (2023; Zbl 07773430) Full Text: DOI
Vadeboncoeur, Arnaud; Akyildiz, Ömer Deniz; Kazlauskaite, Ieva; Girolami, Mark; Cirak, Fehmi Fully probabilistic deep models for forward and inverse problems in parametric PDEs. (English) Zbl 07771285 J. Comput. Phys. 491, Article ID 112369, 25 p. (2023). MSC: 68Txx 65Nxx 65Mxx PDFBibTeX XMLCite \textit{A. Vadeboncoeur} et al., J. Comput. Phys. 491, Article ID 112369, 25 p. (2023; Zbl 07771285) Full Text: DOI arXiv
Nganyu Tanyu, Derick; Ning, Jianfeng; Freudenberg, Tom; Heilenkötter, Nick; Rademacher, Andreas; Iben, Uwe; Maass, Peter Deep learning methods for partial differential equations and related parameter identification problems. (English) Zbl 1527.35501 Inverse Probl. 39, No. 10, Article ID 103001, 75 p. (2023). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{D. Nganyu Tanyu} et al., Inverse Probl. 39, No. 10, Article ID 103001, 75 p. (2023; Zbl 1527.35501) Full Text: DOI arXiv OA License
Chung, Matthias; Renaut, Rosemary A. A variable projection method for large-scale inverse problems with \(\ell^1\) regularization. (English) Zbl 1528.65031 Appl. Numer. Math. 192, 297-318 (2023). MSC: 65K05 90C25 65F22 94A08 PDFBibTeX XMLCite \textit{M. Chung} and \textit{R. A. Renaut}, Appl. Numer. Math. 192, 297--318 (2023; Zbl 1528.65031) Full Text: DOI
Tong, Shanshan; Wang, Wei; Dong, Chaofeng A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems. (English) Zbl 1526.65021 Appl. Numer. Math. 192, 152-178 (2023). MSC: 65J20 PDFBibTeX XMLCite \textit{S. Tong} et al., Appl. Numer. Math. 192, 152--178 (2023; Zbl 1526.65021) Full Text: DOI
Burger, Martin Variational regularization in inverse problems and machine learning. (English) Zbl 1526.65020 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 253-275 (2023). MSC: 65J20 47A52 65J22 68Q32 PDFBibTeX XMLCite \textit{M. Burger}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 253--275 (2023; Zbl 1526.65020) Full Text: DOI arXiv
Yang, Suhua; Luo, Xingjun; Zhang, Rong Fast multilevel iteration methods for solving nonlinear ill-posed problems. (English) Zbl 1526.65019 J. Inverse Ill-Posed Probl. 31, No. 5, 781-798 (2023). MSC: 65J15 65J20 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 781--798 (2023; Zbl 1526.65019) Full Text: DOI
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik Weighted sparsity regularization for source identification for elliptic PDEs. (English) Zbl 1526.35316 J. Inverse Ill-Posed Probl. 31, No. 5, 687-709 (2023). MSC: 35R30 35J25 47A52 65F22 65M32 PDFBibTeX XMLCite \textit{O. L. Elvetun} and \textit{B. F. Nielsen}, J. Inverse Ill-Posed Probl. 31, No. 5, 687--709 (2023; Zbl 1526.35316) Full Text: DOI arXiv
Cen, Siyu; Jin, Bangti; Shin, Kwancheol; Zhou, Zhi Electrical impedance tomography with deep Calderón method. (English) Zbl 07748034 J. Comput. Phys. 493, Article ID 112427, 14 p. (2023). MSC: 35Rxx 65Nxx 78Axx PDFBibTeX XMLCite \textit{S. Cen} et al., J. Comput. Phys. 493, Article ID 112427, 14 p. (2023; Zbl 07748034) Full Text: DOI arXiv
Halvdansson, Simon; Olsen, Jan-Fredrik; Sochen, Nir; Levie, Ron Existence of uncertainty minimizers for the continuous wavelet transform. (English) Zbl 07747149 Math. Nachr. 296, No. 3, 1156-1172 (2023). Reviewer: Sumit Kumar Sharma (Delhi) MSC: 42C40 65T60 42C15 PDFBibTeX XMLCite \textit{S. Halvdansson} et al., Math. Nachr. 296, No. 3, 1156--1172 (2023; Zbl 07747149) Full Text: DOI arXiv OA License
Habring, Andreas; Holler, Martin A note on the regularity of images generated by convolutional neural networks. (English) Zbl 1521.65045 SIAM J. Math. Data Sci. 5, No. 3, 670-692 (2023). MSC: 65J20 68T07 94A08 PDFBibTeX XMLCite \textit{A. Habring} and \textit{M. Holler}, SIAM J. Math. Data Sci. 5, No. 3, 670--692 (2023; Zbl 1521.65045) Full Text: DOI arXiv
Güttel, Stefan; Schweitzer, Marcel Randomized sketching for Krylov approximations of large-scale matrix functions. (English) Zbl 1520.65029 SIAM J. Matrix Anal. Appl. 44, No. 3, 1073-1095 (2023). MSC: 65F60 65F50 68W20 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{M. Schweitzer}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1073--1095 (2023; Zbl 1520.65029) Full Text: DOI arXiv
Pragliola, Monica; Calatroni, Luca; Lanza, Alessandro; Sgallari, Fiorella On and beyond total variation regularization in imaging: the role of space variance. (English) Zbl 07725064 SIAM Rev. 65, No. 3, 601-685 (2023). MSC: 68U10 94A08 65K10 PDFBibTeX XMLCite \textit{M. Pragliola} et al., SIAM Rev. 65, No. 3, 601--685 (2023; Zbl 07725064) Full Text: DOI arXiv
Budd, Jeremy M.; van Gennip, Yves; Latz, Jonas; Parisotto, Simone; Schönlieb, Carola-Bibiane Joint reconstruction-segmentation on graphs. (English) Zbl 1516.94004 SIAM J. Imaging Sci. 16, No. 2, 911-947 (2023). MSC: 94A08 05C99 34B45 35R02 65F60 PDFBibTeX XMLCite \textit{J. M. Budd} et al., SIAM J. Imaging Sci. 16, No. 2, 911--947 (2023; Zbl 1516.94004) Full Text: DOI arXiv
Margotti, Fábio Linear functional strategy and the approximate inverse for nonlinear ill-posed problems. (English) Zbl 07723934 Numer. Funct. Anal. Optim. 44, No. 10, 1060-1093 (2023). MSC: 65Fxx 65Hxx 65Rxx PDFBibTeX XMLCite \textit{F. Margotti}, Numer. Funct. Anal. Optim. 44, No. 10, 1060--1093 (2023; Zbl 07723934) Full Text: DOI
Li, Xiaosheng; Wang, Wei A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography. (English) Zbl 07715683 J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023). MSC: 65-XX 35R30 65J20 65N21 PDFBibTeX XMLCite \textit{X. Li} and \textit{W. Wang}, J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023; Zbl 07715683) Full Text: DOI arXiv
Pan, Bolin; Betcke, Marta M. On learning the invisible in photoacoustic tomography with flat directionally sensitive detector. (English) Zbl 1518.94014 SIAM J. Imaging Sci. 16, No. 2, 770-801 (2023). MSC: 94A08 94A12 92C55 65T50 68U10 PDFBibTeX XMLCite \textit{B. Pan} and \textit{M. M. Betcke}, SIAM J. Imaging Sci. 16, No. 2, 770--801 (2023; Zbl 1518.94014) Full Text: DOI arXiv
Gao, Guangyu; Han, Bo; Fu, Zhenwu; Tong, Shanshan A fast data-driven iteratively regularized method with convex penalty for solving ill-posed problems. (English) Zbl 1516.65043 SIAM J. Imaging Sci. 16, No. 2, 640-670 (2023). MSC: 65J20 65N21 65R30 PDFBibTeX XMLCite \textit{G. Gao} et al., SIAM J. Imaging Sci. 16, No. 2, 640--670 (2023; Zbl 1516.65043) Full Text: DOI
Chouzenoux, Emilie; Contreras, Andrés; Pesquet, Jean-Christophe; Savanier, Marion Convergence results for primal-dual algorithms in the presence of adjoint mismatch. (English) Zbl 1517.65055 SIAM J. Imaging Sci. 16, No. 1, 1-34 (2023). MSC: 65K10 62H35 94A08 90C25 47H05 PDFBibTeX XMLCite \textit{E. Chouzenoux} et al., SIAM J. Imaging Sci. 16, No. 1, 1--34 (2023; Zbl 1517.65055) Full Text: DOI
Liu, Qianru; Huang, Lei; Wang, Rui Regularization method for the generalized moment problem in a functional reproducing kernel Hilbert space. (English) Zbl 07714670 J. Integral Equations Appl. 35, No. 1, 61-80 (2023). MSC: 65R32 46E22 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Integral Equations Appl. 35, No. 1, 61--80 (2023; Zbl 07714670) Full Text: DOI Link
Bonettini, Silvia; Franchini, Giorgia; Pezzi, Danilo; Prato, Marco Explainable bilevel optimization: an application to the Helsinki Deblur Challenge. (English) Zbl 1515.94013 Inverse Probl. Imaging 17, No. 5, 925-950 (2023). MSC: 94A08 65K05 68T05 90C30 PDFBibTeX XMLCite \textit{S. Bonettini} et al., Inverse Probl. Imaging 17, No. 5, 925--950 (2023; Zbl 1515.94013) Full Text: DOI arXiv
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio; Romero, Francisco A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization. (English) Zbl 07698612 Found. Comput. Math. 23, No. 3, 833-898 (2023). MSC: 65K10 65J20 90C49 28A33 35F05 PDFBibTeX XMLCite \textit{K. Bredies} et al., Found. Comput. Math. 23, No. 3, 833--898 (2023; Zbl 07698612) Full Text: DOI arXiv
Laumont, Rémi; De Bortoli, Valentin; Almansa, Andrés; Delon, Julie; Durmus, Alain; Pereyra, Marcelo On maximum a posteriori estimation with Plug & Play priors and stochastic gradient descent. (English) Zbl 07694851 J. Math. Imaging Vis. 65, No. 1, 140-163 (2023). MSC: 68-XX 94-XX 65K10 65K05 62F15 62C10 68Q25 68U10 90C26 PDFBibTeX XMLCite \textit{R. Laumont} et al., J. Math. Imaging Vis. 65, No. 1, 140--163 (2023; Zbl 07694851) Full Text: DOI arXiv
Ren, Gang; Gao, Guanglan A fast adaptive algorithm for nonlinear inverse problems with convex penalty. (English) Zbl 1515.65146 Comput. Appl. Math. 42, No. 4, Paper No. 188, 19 p. (2023); retraction note ibid. 42, No. 6, Paper No. 298, 1 p. (2023). MSC: 65J22 49N45 90C26 90C48 PDFBibTeX XMLCite \textit{G. Ren} and \textit{G. Gao}, Comput. Appl. Math. 42, No. 4, Paper No. 188, 19 p. (2023; Zbl 1515.65146) Full Text: DOI
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
Gu, Ruixue; Fu, Zhenwu; Han, Bo; Fu, Hongsun Heuristic rule for inexact Newton-Landweber iteration with convex penalty terms of nonlinear: ill-posed problems. (English) Zbl 1515.65139 Inverse Probl. 39, No. 6, Article ID 065006, 22 p. (2023). MSC: 65J20 PDFBibTeX XMLCite \textit{R. Gu} et al., Inverse Probl. 39, No. 6, Article ID 065006, 22 p. (2023; Zbl 1515.65139) Full Text: DOI
Byrne, Michael J.; Renaut, Rosemary A. Learning spectral windowing parameters for regularization using unbiased predictive risk and generalized cross validation techniques for multiple data sets. (English) Zbl 1515.65088 Inverse Probl. Imaging 17, No. 4, 841-869 (2023). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{M. J. Byrne} and \textit{R. A. Renaut}, Inverse Probl. Imaging 17, No. 4, 841--869 (2023; Zbl 1515.65088) Full Text: DOI arXiv
Abdulla, Ugur G.; Seif, Saleheh Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness. (English) Zbl 07680912 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 1-22 (2023). MSC: 65-XX 35R30 35Q93 49M25 49M05 65M06 65N21 PDFBibTeX XMLCite \textit{U. G. Abdulla} and \textit{S. Seif}, Contemp. Math. 784, 1--22 (2023; Zbl 07680912) Full Text: DOI arXiv
Neyra-Nesterenko, Maksym; Adcock, Ben NESTANets: stable, accurate and efficient neural networks for analysis-sparse inverse problems. (English) Zbl 1524.68324 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 4, 32 p. (2023). MSC: 68T07 15A29 65K10 90C25 PDFBibTeX XMLCite \textit{M. Neyra-Nesterenko} and \textit{B. Adcock}, Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 4, 32 p. (2023; Zbl 1524.68324) 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
Ding, Liang; Han, Weimin Morozov’s discrepancy principle for \(\alpha\ell_1-\beta\ell_2\) sparsity regularization. (English) Zbl 1515.49007 Inverse Probl. Imaging 17, No. 1, 157-179 (2023). MSC: 49J27 49J52 49N45 65J15 65J20 PDFBibTeX XMLCite \textit{L. Ding} and \textit{W. Han}, Inverse Probl. Imaging 17, No. 1, 157--179 (2023; Zbl 1515.49007) Full Text: DOI
Bianchi, Davide; Lai, Guanghao; Li, Wenbin Uniformly convex neural networks and non-stationary iterated network Tikhonov (iNETT) method. (English) Zbl 07672406 Inverse Probl. 39, No. 5, Article ID 055002, 33 p. (2023). MSC: 65-XX 35Rxx PDFBibTeX XMLCite \textit{D. Bianchi} et al., Inverse Probl. 39, No. 5, Article ID 055002, 33 p. (2023; Zbl 07672406) Full Text: DOI arXiv
del Álamo, Miguel Deep learning for inverse problems with unknown operator. (English) Zbl 1515.65141 Electron. J. Stat. 17, No. 1, 723-768 (2023). MSC: 65J22 62G05 68T07 PDFBibTeX XMLCite \textit{M. del Álamo}, Electron. J. Stat. 17, No. 1, 723--768 (2023; Zbl 1515.65141) Full Text: DOI arXiv Link
Reddy, G. D.; Pradeep, D. A class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization scheme. (English) Zbl 1524.65179 Comput. Appl. Math. 42, No. 1, Paper No. 45, 21 p. (2023). MSC: 65F22 65R30 65R32 PDFBibTeX XMLCite \textit{G. D. Reddy} and \textit{D. Pradeep}, Comput. Appl. Math. 42, No. 1, Paper No. 45, 21 p. (2023; Zbl 1524.65179) Full Text: DOI
Glasner, Karl Data-driven learning of differential equations: combining data and model uncertainty. (English) Zbl 1524.62310 Comput. Appl. Math. 42, No. 1, Paper No. 36, 17 p. (2023). MSC: 62J02 65M32 65L09 PDFBibTeX XMLCite \textit{K. Glasner}, Comput. Appl. Math. 42, No. 1, Paper No. 36, 17 p. (2023; Zbl 1524.62310) Full Text: DOI
Gödeke, Janek; Rigaud, Gaël Imaging based on Compton scattering: model uncertainty and data-driven reconstruction methods. (English) Zbl 1507.35340 Inverse Probl. 39, No. 3, Article ID 034004, 40 p. (2023). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{J. Gödeke} and \textit{G. Rigaud}, Inverse Probl. 39, No. 3, Article ID 034004, 40 p. (2023; Zbl 1507.35340) Full Text: DOI arXiv
Hahn, Bernadette N. (ed.); Quinto, Eric Todd (ed.); Rigaud, Gaël (ed.) Foreword to special issue of Inverse Problems on modern challenges in imaging. (English) Zbl 1504.00011 Inverse Probl. 39, No. 3, Article ID 030401, 4 p. (2023). MSC: 00B15 35-06 65-06 94-06 PDFBibTeX XMLCite \textit{B. N. Hahn} (ed.) et al., Inverse Probl. 39, No. 3, Article ID 030401, 4 p. (2023; Zbl 1504.00011) Full Text: DOI
Cascarano, Pasquale; Franchini, Giorgia; Kobler, Erich; Porta, Federica; Sebastiani, Andrea Constrained and unconstrained deep image prior optimization models with automatic regularization. (English) Zbl 1507.65104 Comput. Optim. Appl. 84, No. 1, 125-149 (2023). MSC: 65K10 68T07 68U10 90C06 90C25 92C55 94A08 PDFBibTeX XMLCite \textit{P. Cascarano} et al., Comput. Optim. Appl. 84, No. 1, 125--149 (2023; Zbl 1507.65104) Full Text: DOI
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
Muoi, Pham Quy \(l^1\)-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements. (English) Zbl 07603742 Appl. Numer. Math. 183, 301-316 (2023). MSC: 65Jxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{P. Q. Muoi}, Appl. Numer. Math. 183, 301--316 (2023; Zbl 07603742) Full Text: DOI
Li, Weilin; Ren, Kui; Rim, Donsub A range characterization of the single-quadrant ADRT. (English) Zbl 1508.44002 Math. Comput. 92, No. 339, 283-306 (2023). Reviewer: Fritz Keinert (Ames) MSC: 44A12 65R10 PDFBibTeX XMLCite \textit{W. Li} et al., Math. Comput. 92, No. 339, 283--306 (2023; Zbl 1508.44002) Full Text: DOI arXiv
Alipanah, Amjad; Arzideh, Korosh; Firouzi, Medina; Kasnazani, A. Daubechies wavelet scaling function approach to solve Volterra’s population model. (English) Zbl 1520.65081 Int. J. Math. Math. Sci. 2022, Article ID 5363646, 8 p. (2022). MSC: 65R20 65L60 42C40 92D25 PDFBibTeX XMLCite \textit{A. Alipanah} et al., Int. J. Math. Math. Sci. 2022, Article ID 5363646, 8 p. (2022; Zbl 1520.65081) Full Text: DOI
Korolev, Yury Two-layer neural networks with values in a Banach space. (English) Zbl 07632464 SIAM J. Math. Anal. 54, No. 6, 6358-6389 (2022). MSC: 68Q32 68T07 46E40 41A65 65J22 PDFBibTeX XMLCite \textit{Y. Korolev}, SIAM J. Math. Anal. 54, No. 6, 6358--6389 (2022; Zbl 07632464) Full Text: DOI arXiv
Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc Discretization of parameter identification in PDEs using neural networks. (English) Zbl 1512.65197 Inverse Probl. 38, No. 12, Article ID 124007, 35 p. (2022). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M32 65M30 65J20 65M12 65M15 65K10 68T07 35R30 35R25 35R60 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{T. T. N. Nguyen}, Inverse Probl. 38, No. 12, Article ID 124007, 35 p. (2022; Zbl 1512.65197) Full Text: DOI arXiv
Hagemann, Paul; Hertrich, Johannes; Steidl, Gabriele Stochastic normalizing flows for inverse problems: a Markov chains viewpoint. (English) Zbl 1498.62067 SIAM/ASA J. Uncertain. Quantif. 10, 1162-1190 (2022). MSC: 62F15 68T07 60J22 65C40 60J20 65C05 PDFBibTeX XMLCite \textit{P. Hagemann} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1162--1190 (2022; Zbl 1498.62067) Full Text: DOI arXiv
Hohage, Thorsten; Werner, Frank Error estimates for variational regularization of inverse problems with general noise models for data and operator. (English) Zbl 1498.65081 ETNA, Electron. Trans. Numer. Anal. 57, 127-152 (2022). MSC: 65J20 60H30 60H40 PDFBibTeX XMLCite \textit{T. Hohage} and \textit{F. Werner}, ETNA, Electron. Trans. Numer. Anal. 57, 127--152 (2022; Zbl 1498.65081) Full Text: DOI
Colbrook, Matthew J. WARPd: a linearly convergent first-order primal-dual algorithm for inverse problems with approximate sharpness conditions. (English) Zbl 1496.65074 SIAM J. Imaging Sci. 15, No. 3, 1539-1575 (2022). MSC: 65K10 68U10 65Y20 68Q25 90C25 94A08 15A83 PDFBibTeX XMLCite \textit{M. J. Colbrook}, SIAM J. Imaging Sci. 15, No. 3, 1539--1575 (2022; Zbl 1496.65074) Full Text: DOI arXiv
Xu, Chen; Zhang, Ye Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network. (English) Zbl 07595871 J. Inverse Ill-Posed Probl. 30, No. 5, 693-712 (2022). MSC: 68-XX 65L09 35R30 76R50 PDFBibTeX XMLCite \textit{C. Xu} and \textit{Y. Zhang}, J. Inverse Ill-Posed Probl. 30, No. 5, 693--712 (2022; Zbl 07595871) Full Text: DOI arXiv
Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar Legendre spectral projection methods for Fredholm integral equations of first kind. (English) Zbl 1502.65278 J. Inverse Ill-Posed Probl. 30, No. 5, 677-691 (2022). MSC: 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{S. Patel} et al., J. Inverse Ill-Posed Probl. 30, No. 5, 677--691 (2022; Zbl 1502.65278) Full Text: DOI
Rajan, M. P.; Jose, Jaise An efficient discrete Landweber iteration for nonlinear problems. (English) Zbl 1504.47104 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 189, 19 p. (2022). MSC: 47J25 47J06 65J10 65J22 65J20 PDFBibTeX XMLCite \textit{M. P. Rajan} and \textit{J. Jose}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 189, 19 p. (2022; Zbl 1504.47104) Full Text: DOI
Jia, Junxiong; Li, Peijun; Meng, Deyu Stein variational gradient descent on infinite-dimensional space and applications to statistical inverse problems. (English) Zbl 1502.65044 SIAM J. Numer. Anal. 60, No. 4, 2225-2252 (2022). MSC: 65L09 49N45 62F15 PDFBibTeX XMLCite \textit{J. Jia} et al., SIAM J. Numer. Anal. 60, No. 4, 2225--2252 (2022; Zbl 1502.65044) Full Text: DOI arXiv
Jarlebring, Elias; Correnty, Siobhán Infinite GMRES for parameterized linear systems. (English) Zbl 1508.65027 SIAM J. Matrix Anal. Appl. 43, No. 3, 1382-1405 (2022). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{E. Jarlebring} and \textit{S. Correnty}, SIAM J. Matrix Anal. Appl. 43, No. 3, 1382--1405 (2022; Zbl 1508.65027) Full Text: DOI arXiv
Furuya, Takashi; Potthast, Roland Inverse medium scattering problems with Kalman filter techniques. (English) Zbl 1496.65201 Inverse Probl. 38, No. 9, Article ID 095003, 21 p. (2022). MSC: 65N21 65N20 65K10 65J20 76Q05 35Q35 35R30 35R25 PDFBibTeX XMLCite \textit{T. Furuya} and \textit{R. Potthast}, Inverse Probl. 38, No. 9, Article ID 095003, 21 p. (2022; Zbl 1496.65201) Full Text: DOI arXiv
Levie, Ron; Sochen, Nir A wavelet Plancherel theory with application to multipliers and sparse approximations. (English) Zbl 1505.42040 Numer. Funct. Anal. Optim. 43, No. 11, 1303-1400 (2022). Reviewer: K. Parthasarathy (Chennai) MSC: 42C40 20C35 65T60 43A80 94A12 20C99 PDFBibTeX XMLCite \textit{R. Levie} and \textit{N. Sochen}, Numer. Funct. Anal. Optim. 43, No. 11, 1303--1400 (2022; Zbl 1505.42040) Full Text: DOI arXiv
Pham Quy Muoi; Duong Xuan Hiep Proximal algorithm for minimization problems in \(l_0\)-regularization for nonlinear inverse problems. (English) Zbl 1498.65084 Numer. Algorithms 91, No. 1, 367-388 (2022). MSC: 65J22 65K10 90C26 90C48 PDFBibTeX XMLCite \textit{Pham Quy Muoi} and \textit{Duong Xuan Hiep}, Numer. Algorithms 91, No. 1, 367--388 (2022; Zbl 1498.65084) Full Text: DOI
Zhong, Min; Wang, Wei; Zhu, Kai On the asymptotical regularization with convex constraints for nonlinear ill-posed problems. (English) Zbl 1524.65216 Appl. Math. Lett. 133, Article ID 108247, 7 p. (2022). MSC: 65J20 65J15 65J22 47A52 PDFBibTeX XMLCite \textit{M. Zhong} et al., Appl. Math. Lett. 133, Article ID 108247, 7 p. (2022; Zbl 1524.65216) Full Text: DOI
Xia, Yuxin; Wang, Wei; Han, Bo A fast averaged Kaczmarz iteration with convex penalty for inverse problems in Hilbert spaces. (English) Zbl 1492.65151 SIAM J. Imaging Sci. 15, No. 3, 1079-1103 (2022). MSC: 65J20 65J22 45F05 PDFBibTeX XMLCite \textit{Y. Xia} et al., SIAM J. Imaging Sci. 15, No. 3, 1079--1103 (2022; Zbl 1492.65151) Full Text: DOI
Holden, Matthew; Pereyra, Marcelo; Zygalakis, Konstantinos C. Bayesian imaging with data-driven priors encoded by neural networks. (English) Zbl 1524.68422 SIAM J. Imaging Sci. 15, No. 2, 892-924 (2022). MSC: 68U10 62F15 65C05 68T05 PDFBibTeX XMLCite \textit{M. Holden} et al., SIAM J. Imaging Sci. 15, No. 2, 892--924 (2022; Zbl 1524.68422) Full Text: DOI arXiv
Abhishek, Anuj; Strauss, Thilo; Khan, Taufiquar An optimal Bayesian estimator for absorption coefficient in diffuse optical tomography. (English) Zbl 1497.35508 SIAM J. Imaging Sci. 15, No. 2, 797-821 (2022). MSC: 35R30 35J15 35J25 62G20 65N21 62F15 PDFBibTeX XMLCite \textit{A. Abhishek} et al., SIAM J. Imaging Sci. 15, No. 2, 797--821 (2022; Zbl 1497.35508) Full Text: DOI
Laumont, Rémi; De Bortoli, Valentin; Almansa, Andrés; Delon, Julie; Durmus, Alain; Pereyra, Marcelo Bayesian imaging using plug & play priors: when Langevin meets Tweedie. (English) Zbl 1515.65144 SIAM J. Imaging Sci. 15, No. 2, 701-737 (2022). Reviewer: Oscar Bustos (Córdoba) MSC: 65J22 62F15 65C40 65D18 65J20 68Q25 68U10 94A08 PDFBibTeX XMLCite \textit{R. Laumont} et al., SIAM J. Imaging Sci. 15, No. 2, 701--737 (2022; Zbl 1515.65144) Full Text: DOI arXiv
Chen, Chong; Wang, Runqian; Bajaj, Chandrajit; Öktem, Ozan An efficient algorithm to compute the X-ray transform. (English) Zbl 1513.65542 Int. J. Comput. Math. 99, No. 7, 1325-1343 (2022). MSC: 65R32 68U10 92C55 94A08 PDFBibTeX XMLCite \textit{C. Chen} et al., Int. J. Comput. Math. 99, No. 7, 1325--1343 (2022; Zbl 1513.65542) Full Text: DOI arXiv
Knudsen, Kim; Rasmussen, Aksel Kaastrup Direct regularized reconstruction for the three-dimensional Calderón problem. (English) Zbl 1495.35212 Inverse Probl. Imaging 16, No. 4, 871-894 (2022). MSC: 35R30 35J25 65J20 65N21 78A46 PDFBibTeX XMLCite \textit{K. Knudsen} and \textit{A. K. Rasmussen}, Inverse Probl. Imaging 16, No. 4, 871--894 (2022; Zbl 1495.35212) Full Text: DOI arXiv
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. (English) Zbl 1521.65112 Comput. Fluids 241, Article ID 105481, 13 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{F. Cheng} et al., Comput. Fluids 241, Article ID 105481, 13 p. (2022; Zbl 1521.65112) Full Text: DOI
Yang, Hongqi; Zhang, Rong A fast multilevel iteration method for solving linear ill-posed integral equations. (English) Zbl 1503.47015 J. Inverse Ill-Posed Probl. 30, No. 3, 409-423 (2022). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{H. Yang} and \textit{R. Zhang}, J. Inverse Ill-Posed Probl. 30, No. 3, 409--423 (2022; Zbl 1503.47015) Full Text: DOI
Zhang, Tingting; Chen, Jie; Wu, Caiying; He, Zhifei; Zeng, Tieyong; Jin, Qiyu Edge adaptive hybrid regularization model for image deblurring. (English) Zbl 1489.94022 Inverse Probl. 38, No. 6, Article ID 065010, 33 p. (2022). Reviewer: Hang Lau (Montréal) MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{T. Zhang} et al., Inverse Probl. 38, No. 6, Article ID 065010, 33 p. (2022; Zbl 1489.94022) Full Text: DOI arXiv
Levie, Ron; Avron, Haim Randomized continuous frames in time-frequency analysis. (English) Zbl 1493.42049 Adv. Comput. Math. 48, No. 3, Paper No. 25, 40 p. (2022). Reviewer: Rosario Corso (Palermo) MSC: 42C15 42C40 65C05 65R10 65T60 PDFBibTeX XMLCite \textit{R. Levie} and \textit{H. Avron}, Adv. Comput. Math. 48, No. 3, Paper No. 25, 40 p. (2022; Zbl 1493.42049) Full Text: DOI arXiv
Andrade-Loarca, Héctor; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp Deep microlocal reconstruction for limited-angle tomography. (English) Zbl 07522506 Appl. Comput. Harmon. Anal. 59, 155-197 (2022). MSC: 65-XX 35A18 65T60 68T10 PDFBibTeX XMLCite \textit{H. Andrade-Loarca} et al., Appl. Comput. Harmon. Anal. 59, 155--197 (2022; Zbl 07522506) Full Text: DOI arXiv
Arridge, Simon; Fernsel, Pascal; Hauptmann, Andreas Joint reconstruction and low-rank decomposition for dynamic inverse problems. (English) Zbl 1495.65087 Inverse Probl. Imaging 16, No. 3, 483-523 (2022). MSC: 65K10 65F22 65F55 15A23 92C55 94A08 PDFBibTeX XMLCite \textit{S. Arridge} et al., Inverse Probl. Imaging 16, No. 3, 483--523 (2022; Zbl 1495.65087) Full Text: DOI arXiv
Suuronen, Jarkko; Chada, Neil K.; Roininen, Lassi Cauchy Markov random field priors for Bayesian inversion. (English) Zbl 1484.62013 Stat. Comput. 32, No. 2, Paper No. 33, 26 p. (2022). MSC: 62-08 62F15 62M40 60G52 60J22 65C40 PDFBibTeX XMLCite \textit{J. Suuronen} et al., Stat. Comput. 32, No. 2, Paper No. 33, 26 p. (2022; Zbl 1484.62013) Full Text: DOI arXiv
Gerth, Daniel; Ramlau, Ronny Estimating solution smoothness and data noise with Tikhonov regularization. (English) Zbl 1492.65150 Numer. Funct. Anal. Optim. 43, No. 1, 88-115 (2022). MSC: 65J20 47A52 PDFBibTeX XMLCite \textit{D. Gerth} and \textit{R. Ramlau}, Numer. Funct. Anal. Optim. 43, No. 1, 88--115 (2022; Zbl 1492.65150) Full Text: DOI arXiv
Gu, Ruixue; Fu, Hongsun; Han, Bo Generalized inexact Newton regularization for nonlinear ill-posed problems in Banach spaces. (English) Zbl 1510.65110 Inverse Probl. 38, No. 6, Article ID 065001, 32 p. (2022). MSC: 65J20 PDFBibTeX XMLCite \textit{R. Gu} et al., Inverse Probl. 38, No. 6, Article ID 065001, 32 p. (2022; Zbl 1510.65110) Full Text: DOI
Hubmer, Simon; Ramlau, Ronny; Weissinger, Lukas On regularization via frame decompositions with applications in tomography. (English) Zbl 1510.65111 Inverse Probl. 38, No. 5, Article ID 055003, 28 p. (2022). MSC: 65J20 65D18 PDFBibTeX XMLCite \textit{S. Hubmer} et al., Inverse Probl. 38, No. 5, Article ID 055003, 28 p. (2022; Zbl 1510.65111) Full Text: DOI arXiv
Karimi, Milad Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators. (English) Zbl 07510529 Inverse Probl. 38, No. 5, Article ID 055001, 34 p. (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Karimi}, Inverse Probl. 38, No. 5, Article ID 055001, 34 p. (2022; Zbl 07510529) Full Text: DOI
Mannel, Florian; Rund, Armin A hybrid semismooth quasi-Newton method for structured nonsmooth operator equations in Banach spaces. (English) Zbl 07499215 J. Convex Anal. 29, No. 1, 183-204 (2022). Reviewer: Chadi Nour (Byblos) MSC: 65J15 49J27 49J52 49M15 49M27 PDFBibTeX XMLCite \textit{F. Mannel} and \textit{A. Rund}, J. Convex Anal. 29, No. 1, 183--204 (2022; Zbl 07499215) Full Text: Link
Habring, Andreas; Holler, Martin A generative variational model for inverse problems in imaging. (English) Zbl 1485.49042 SIAM J. Math. Data Sci. 4, No. 1, 306-335 (2022). MSC: 49N45 65J20 68T07 94A08 PDFBibTeX XMLCite \textit{A. Habring} and \textit{M. Holler}, SIAM J. Math. Data Sci. 4, No. 1, 306--335 (2022; Zbl 1485.49042) Full Text: DOI arXiv
Weissmann, Simon; Chada, Neil K.; Schillings, Claudia; Tong, Xin T. Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion. (English) Zbl 1485.65069 Inverse Probl. 38, No. 4, Article ID 045009, 34 p. (2022). MSC: 65K10 65N21 62F15 PDFBibTeX XMLCite \textit{S. Weissmann} et al., Inverse Probl. 38, No. 4, Article ID 045009, 34 p. (2022; Zbl 1485.65069) Full Text: DOI arXiv
Zhong, Min; Wang, Wei; Tong, Shanshan An asymptotical regularization with convex constraints for inverse problems. (English) Zbl 1496.65149 Inverse Probl. 38, No. 4, Article ID 045007, 30 p. (2022). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M30 65K10 49M15 65J20 65J08 65J15 65J22 65L06 PDFBibTeX XMLCite \textit{M. Zhong} et al., Inverse Probl. 38, No. 4, Article ID 045007, 30 p. (2022; Zbl 1496.65149) Full Text: DOI arXiv
Donato, Joseph S.; Levinson, Howard W. Structured iterative hard thresholding with on- and off-grid applications. (English) Zbl 1482.65050 Linear Algebra Appl. 638, 46-79 (2022). MSC: 65F10 68P30 78A46 94A12 PDFBibTeX XMLCite \textit{J. S. Donato} and \textit{H. W. Levinson}, Linear Algebra Appl. 638, 46--79 (2022; Zbl 1482.65050) Full Text: DOI arXiv
Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas Optimization with learning-informed differential equation constraints and its applications. (English) Zbl 1481.49028 ESAIM, Control Optim. Calc. Var. 28, Paper No. 3, 44 p. (2022). MSC: 49M15 65J15 65J20 65K10 90C30 35J61 68T07 PDFBibTeX XMLCite \textit{G. Dong} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 3, 44 p. (2022; Zbl 1481.49028) Full Text: DOI arXiv
Herrmann, Lukas; Opschoor, Joost A. A.; Schwab, Christoph Constructive deep ReLU neural network approximation. (English) Zbl 1500.41002 J. Sci. Comput. 90, No. 2, Paper No. 75, 37 p. (2022). MSC: 41A10 41A50 65D05 65D15 68T07 PDFBibTeX XMLCite \textit{L. Herrmann} et al., J. Sci. Comput. 90, No. 2, Paper No. 75, 37 p. (2022; Zbl 1500.41002) Full Text: DOI
Lucka, Felix; Pérez-Liva, Mailyn; Treeby, Bradley E.; Cox, Ben T. High resolution 3D ultrasonic breast imaging by time-domain full waveform inversion. (English) Zbl 07455597 Inverse Probl. 38, No. 2, Article ID 025008, 39 p. (2022). MSC: 65-XX 35Rxx 92Cxx 86Axx PDFBibTeX XMLCite \textit{F. Lucka} et al., Inverse Probl. 38, No. 2, Article ID 025008, 39 p. (2022; Zbl 07455597) Full Text: DOI arXiv Link
Li, Hailong; Ding, Liang Generalized conditional gradient method for elastic-net regularization. (English) Zbl 1481.65085 J. Comput. Appl. Math. 403, Article ID 113872, 19 p. (2022). MSC: 65J20 PDFBibTeX XMLCite \textit{H. Li} and \textit{L. Ding}, J. Comput. Appl. Math. 403, Article ID 113872, 19 p. (2022; Zbl 1481.65085) Full Text: DOI