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
Kuok, Sin-Chi; Yuen, Ka-Veng Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling. (English) Zbl 07796699 Comput. Methods Appl. Mech. Eng. 419, Article ID 116680, 28 p. (2024). MSC: 86-XX 92-XX PDFBibTeX XMLCite \textit{S.-C. Kuok} and \textit{K.-V. Yuen}, Comput. Methods Appl. Mech. Eng. 419, Article ID 116680, 28 p. (2024; Zbl 07796699) Full Text: DOI
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
Kofler, Andreas; Altekrüger, Fabian; Ba, Fatima Antarou; Kolbitsch, Christoph; Papoutsellis, Evangelos; Schote, David; Sirotenko, Clemens; Zimmermann, Felix Frederik; Papafitsoros, Kostas Learning regularization parameter-maps for variational image reconstruction using deep neural networks and algorithm unrolling. (English) Zbl 07784241 SIAM J. Imaging Sci. 16, No. 4, 2202-2246 (2023). MSC: 92C55 47A52 PDFBibTeX XMLCite \textit{A. Kofler} et al., SIAM J. Imaging Sci. 16, No. 4, 2202--2246 (2023; Zbl 07784241) Full Text: DOI arXiv
Alaifari, Rima; Alberti, Giovanni S.; Gauksson, Tandri Short communication: localized adversarial artifacts for compressed sensing MRI. (English) Zbl 07754948 SIAM J. Imaging Sci. 16, No. 4, SC14-SC26 (2023). MSC: 47A52 68T07 92C55 PDFBibTeX XMLCite \textit{R. Alaifari} et al., SIAM J. Imaging Sci. 16, No. 4, SC14-SC26 (2023; Zbl 07754948) Full Text: DOI
Antil, Harbir; Sayre, David Bilevel inverse problems in neuromorphic imaging. (English) Zbl 1526.92028 Inverse Probl. 39, No. 9, Article ID 094003, 22 p. (2023). MSC: 92C55 90C53 PDFBibTeX XMLCite \textit{H. Antil} and \textit{D. Sayre}, Inverse Probl. 39, No. 9, Article ID 094003, 22 p. (2023; Zbl 1526.92028) Full Text: DOI arXiv OA License
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
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
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
Rudzusika, Jevgenija; Koehler, Thomas; Oktem, Ozan Deep learning-based dictionary learning and tomographic image reconstruction. (English) Zbl 1499.62413 SIAM J. Imaging Sci. 15, No. 4, 1729-1764 (2022). MSC: 62P10 68T07 92C55 94A08 94A12 PDFBibTeX XMLCite \textit{J. Rudzusika} et al., SIAM J. Imaging Sci. 15, No. 4, 1729--1764 (2022; Zbl 1499.62413) Full Text: DOI arXiv
Barbano, Riccardo; Kereta, Željko; Hauptmann, Andreas; Arridge, Simon R.; Jin, Bangti Unsupervised knowledge-transfer for learned image reconstruction. (English) Zbl 1497.94006 Inverse Probl. 38, No. 10, Article ID 104004, 28 p. (2022). MSC: 94A08 68U10 92C55 62F15 PDFBibTeX XMLCite \textit{R. Barbano} et al., Inverse Probl. 38, No. 10, Article ID 104004, 28 p. (2022; Zbl 1497.94006) Full Text: DOI arXiv
Alt, Tobias; Schrader, Karl; Weickert, Joachim; Peter, Pascal; Augustin, Matthias Designing rotationally invariant neural networks from PDEs and variational methods. (English) Zbl 07576604 Res. Math. Sci. 9, No. 3, Paper No. 52, 23 p. (2022). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{T. Alt} et al., Res. Math. Sci. 9, No. 3, Paper No. 52, 23 p. (2022; Zbl 07576604) Full Text: DOI arXiv
Candiani, Valentina; Santacesaria, Matteo Neural networks for classification of strokes in electrical impedance tomography on a 3D head model. (English) Zbl 1498.92104 Math. Eng. (Springfield) 4, No. 4, Paper No. 29, 22 p. (2022). MSC: 92C55 92B20 68T05 PDFBibTeX XMLCite \textit{V. Candiani} and \textit{M. Santacesaria}, Math. Eng. (Springfield) 4, No. 4, Paper No. 29, 22 p. (2022; Zbl 1498.92104) 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
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
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
Pasha, Mirjeta; Kupis, Shyla; Ahmad, Sanwar; Khan, Taufiquar A Krylov subspace type method for electrical impedance tomography. (English) Zbl 1486.65232 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2827-2847 (2021). MSC: 65N21 65N20 65N22 35R30 65K10 65F10 92C55 PDFBibTeX XMLCite \textit{M. Pasha} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2827--2847 (2021; Zbl 1486.65232) Full Text: DOI
Mukherjee, Subhadip; Öktem, Ozan; Schönlieb, Carola-Bibiane Adversarially learned iterative reconstruction for imaging inverse problems. (English) Zbl 1484.68192 Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 540-552 (2021). MSC: 68T05 65J20 65J22 68U10 92C55 PDFBibTeX XMLCite \textit{S. Mukherjee} et al., Lect. Notes Comput. Sci. 12679, 540--552 (2021; Zbl 1484.68192) Full Text: DOI arXiv
Bubba, Tatiana A.; Galinier, Mathilde; Lassas, Matti; Prato, Marco; Ratti, Luca; Siltanen, Samuli Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography. (English) Zbl 1489.44003 SIAM J. Imaging Sci. 14, No. 2, 470-505 (2021). MSC: 44A12 68T07 35S30 58J40 92C55 PDFBibTeX XMLCite \textit{T. A. Bubba} et al., SIAM J. Imaging Sci. 14, No. 2, 470--505 (2021; Zbl 1489.44003) Full Text: DOI arXiv
Jiang, Ming Review of image similarity measures for joint image reconstruction from multiple measurements. (English) Zbl 1487.65138 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 267-286 (2021). MSC: 65M32 65K10 78A46 92C55 94A08 35R30 PDFBibTeX XMLCite \textit{M. Jiang}, in: Time-dependent problems in imaging and parameter identification. Cham: Springer. 267--286 (2021; Zbl 1487.65138) Full Text: DOI
Hahn, Bernadette N. Motion compensation strategies in tomography. (English) Zbl 1487.65135 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 51-83 (2021). MSC: 65M32 65M30 65K05 44A12 78A46 92C55 35R30 35Q92 PDFBibTeX XMLCite \textit{B. N. Hahn}, in: Time-dependent problems in imaging and parameter identification. Cham: Springer. 51--83 (2021; Zbl 1487.65135) Full Text: DOI
Guo, Ruchi; Jiang, Jiahua Construct deep neural networks based on direct sampling methods for solving electrical impedance tomography. (English) Zbl 1479.65020 SIAM J. Sci. Comput. 43, No. 3, B678-B711 (2021). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65N21 65N20 35R30 35R25 68U10 78A46 92C20 92C55 PDFBibTeX XMLCite \textit{R. Guo} and \textit{J. Jiang}, SIAM J. Sci. Comput. 43, No. 3, B678--B711 (2021; Zbl 1479.65020) Full Text: DOI arXiv
Tang, Jinping Nonconvex and nonsmooth total variation regularization method for diffuse optical tomography based on RTE. (English) Zbl 1480.65242 Inverse Probl. 37, No. 6, Article ID 065001, 35 p. (2021). Reviewer: Christian Clason (Graz) MSC: 65M32 65J20 35Q49 92C55 49J52 49M41 78A46 PDFBibTeX XMLCite \textit{J. Tang}, Inverse Probl. 37, No. 6, Article ID 065001, 35 p. (2021; Zbl 1480.65242) Full Text: DOI
Kiefer, Lukas; Petra, Stefania; Storath, Martin; Weinmann, Andreas Multi-channel Potts-based reconstruction for multi-spectral computed tomography. (English) Zbl 1460.92108 Inverse Probl. 37, No. 4, Article ID 045004, 39 p. (2021). MSC: 92C55 PDFBibTeX XMLCite \textit{L. Kiefer} et al., Inverse Probl. 37, No. 4, Article ID 045004, 39 p. (2021; Zbl 1460.92108) Full Text: DOI arXiv
Beckmann, M.; Maass, P.; Nickel, J. Error analysis for filtered back projection reconstructions in Besov spaces. (English) Zbl 1458.94013 Inverse Probl. 37, No. 1, Article ID 014002, 35 p. (2021). MSC: 94A08 92C55 30H25 PDFBibTeX XMLCite \textit{M. Beckmann} et al., Inverse Probl. 37, No. 1, Article ID 014002, 35 p. (2021; Zbl 1458.94013) Full Text: DOI arXiv
Bredies, Kristian; Fanzon, Silvio An optimal transport approach for solving dynamic inverse problems in spaces of measures. (English) Zbl 07357930 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2351-2382 (2020). MSC: 65J20 49J20 35F05 46G12 92C55 PDFBibTeX XMLCite \textit{K. Bredies} and \textit{S. Fanzon}, ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2351--2382 (2020; Zbl 07357930) Full Text: DOI arXiv Link
Khan, Taufiquar Inverse problems involving PDEs with applications to imaging. (English) Zbl 07357286 Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 181-195 (2020). MSC: 35R30 92C55 PDFBibTeX XMLCite \textit{T. Khan}, in: Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2--4, 2018. Singapore: Springer. 181--195 (2020; Zbl 07357286) Full Text: DOI
Luo, Shousheng; Zhang, Yanchun; Zhou, Tie; Song, Jinping; Wang, Yanfei XCT image reconstruction by a modified superiorized iteration and theoretical analysis. (English) Zbl 1466.94007 Optim. Methods Softw. 35, No. 6, 1080-1097 (2020). Reviewer: Agnieszka Lisowska (Sosnowiec) MSC: 94A08 92C55 15A29 65K10 68U10 PDFBibTeX XMLCite \textit{S. Luo} et al., Optim. Methods Softw. 35, No. 6, 1080--1097 (2020; Zbl 1466.94007) Full Text: DOI
Agnelli, J. P.; Çöl, A.; Lassas, Matti; Murthy, Rashmi; Santacesaria, Matteo; Siltanen, Samuli Classification of stroke using neural networks in electrical impedance tomography. (English) Zbl 1451.92178 Inverse Probl. 36, No. 11, Article ID 115008, 26 p. (2020). MSC: 92C55 92B20 PDFBibTeX XMLCite \textit{J. P. Agnelli} et al., Inverse Probl. 36, No. 11, Article ID 115008, 26 p. (2020; Zbl 1451.92178) Full Text: DOI arXiv
Bao, Gang; Ye, Xiaojing; Zang, Yaohua; Zhou, Haomin Numerical solution of inverse problems by weak adversarial networks. (English) Zbl 1452.65308 Inverse Probl. 36, No. 11, Article ID 115003, 31 p. (2020). MSC: 65N21 35R30 68T07 92C55 PDFBibTeX XMLCite \textit{G. Bao} et al., Inverse Probl. 36, No. 11, Article ID 115003, 31 p. (2020; Zbl 1452.65308) Full Text: DOI arXiv
Baguer, Daniel Otero; Leuschner, Johannes; Schmidt, Maximilian Computed tomography reconstruction using deep image prior and learned reconstruction methods. (English) Zbl 1460.68093 Inverse Probl. 36, No. 9, Article ID 094004, 24 p. (2020). MSC: 68T07 68U10 92C55 PDFBibTeX XMLCite \textit{D. O. Baguer} et al., Inverse Probl. 36, No. 9, Article ID 094004, 24 p. (2020; Zbl 1460.68093) Full Text: DOI arXiv
Letourneau, Pierre-David; Harris, Mitchell Tong; Langston, Matthew Harper; Papanicolaou, George Low-frequency electromagnetic imaging using sensitivity functions and beamforming. (English) Zbl 1447.78010 SIAM J. Imaging Sci. 13, No. 2, 807-843 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 35H99 35Q60 35R30 65R32 65T50 78A45 78A55 92C55 PDFBibTeX XMLCite \textit{P.-D. Letourneau} et al., SIAM J. Imaging Sci. 13, No. 2, 807--843 (2020; Zbl 1447.78010) Full Text: DOI
Long, Haie; Han, Bo; Tong, Shanshan A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems. (English) Zbl 1434.65231 Appl. Numer. Math. 151, 301-321 (2020). MSC: 65N21 65K10 65J20 47J25 93B30 35R09 65N20 65N30 92C55 35R30 PDFBibTeX XMLCite \textit{H. Long} et al., Appl. Numer. Math. 151, 301--321 (2020; Zbl 1434.65231) Full Text: DOI
Hiles, Alex J.; Dorn, Oliver Sparsity and level set regularization for near-field electromagnetic imaging in 3D. (English) Zbl 1433.78033 Inverse Probl. 36, No. 2, Article ID 025012, 24 p. (2020). MSC: 78M50 78A46 35R30 35Q60 78A45 65K10 35B65 92C55 PDFBibTeX XMLCite \textit{A. J. Hiles} and \textit{O. Dorn}, Inverse Probl. 36, No. 2, Article ID 025012, 24 p. (2020; Zbl 1433.78033) Full Text: DOI Link
Li, Wei; Wang, Jinping On the approximate inverse method in SPECT image reconstruction. (English) Zbl 1428.44001 Appl. Anal. 99, No. 1, 121-132 (2020). MSC: 44A12 65R10 92C55 35R30 68W25 65F22 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. Wang}, Appl. Anal. 99, No. 1, 121--132 (2020; Zbl 1428.44001) Full Text: DOI
Agnihotri, Kulbhushan; Kaur, Harpreet The dynamics of viral infection in toxin producing phytoplankton and zooplankton system with time delay. (English) Zbl 1442.92120 Chaos Solitons Fractals 118, 122-133 (2019). MSC: 92D25 92D40 34K20 34K18 34K60 PDFBibTeX XMLCite \textit{K. Agnihotri} and \textit{H. Kaur}, Chaos Solitons Fractals 118, 122--133 (2019; Zbl 1442.92120) Full Text: DOI
Zhang, Ke; Li, Maokun; Yang, Fan; Xu, Shenheng; Abubakar, Aria Electrical impedance tomography with multiplicative regularization. (English) Zbl 1431.65206 Inverse Probl. Imaging 13, No. 6, 1139-1159 (2019). MSC: 65N21 65N20 65K10 35R30 92C55 78A46 78A70 65J20 PDFBibTeX XMLCite \textit{K. Zhang} et al., Inverse Probl. Imaging 13, No. 6, 1139--1159 (2019; Zbl 1431.65206) Full Text: DOI
Kumar, Dinesh; Gupta, Jatin; Raha, Soumyendu Partitioning a reaction-diffusion ecological network for dynamic stability. (English) Zbl 1427.92099 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180524, 20 p. (2019). MSC: 92D40 35Q92 35K57 PDFBibTeX XMLCite \textit{D. Kumar} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180524, 20 p. (2019; Zbl 1427.92099) Full Text: DOI
Wang, Jing; Han, Bo; Wang, Wei Elastic-net regularization for nonlinear electrical impedance tomography with a splitting approach. (English) Zbl 1418.65056 Appl. Anal. 98, No. 12, 2201-2217 (2019). MSC: 65F22 65M32 92C55 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Anal. 98, No. 12, 2201--2217 (2019; Zbl 1418.65056) Full Text: DOI arXiv
Adesokan, Bolaji James; Jensen, Bjørn; Jin, Bangti; Knudsen, Kim Acousto-electric tomography with total variation regularization. (English) Zbl 1410.65429 Inverse Probl. 35, No. 3, Article ID 035008, 25 p. (2019). MSC: 65N21 65N30 65N12 35R30 35A15 35B65 65K10 92C55 PDFBibTeX XMLCite \textit{B. J. Adesokan} et al., Inverse Probl. 35, No. 3, Article ID 035008, 25 p. (2019; Zbl 1410.65429) Full Text: DOI arXiv
Hofmann, Christopher; Hofmann, Bernd; Unger, Roman Numerical studies of recovery chances for a simplified EIT problem. (English) Zbl 1400.92300 Hofmann, Bernd (ed.) et al., New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Cham: Birkhäuser (ISBN 978-3-319-70823-2/hbk; 978-3-319-70824-9/ebook). Trends in Mathematics, 145-157 (2018). MSC: 92C55 92-08 74S05 94A08 PDFBibTeX XMLCite \textit{C. Hofmann} et al., in: New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 -- November 3, 2017. Cham: Birkhäuser. 145--157 (2018; Zbl 1400.92300) Full Text: DOI
Hielscher, Ralf; Potts, Daniel; Quellmalz, Michael An SVD in spherical surface wave tomography. (English) Zbl 1400.94020 Hofmann, Bernd (ed.) et al., New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Cham: Birkhäuser (ISBN 978-3-319-70823-2/hbk; 978-3-319-70824-9/ebook). Trends in Mathematics, 121-144 (2018). MSC: 94A08 92C55 PDFBibTeX XMLCite \textit{R. Hielscher} et al., in: New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 -- November 3, 2017. Cham: Birkhäuser. 121--144 (2018; Zbl 1400.94020) Full Text: DOI arXiv
Zhao, Zhenhua; Zhu, Yining; Yang, Jiansheng; Jiang, Ming Mumford-Shah-TV functional with application in X-ray interior tomography. (English) Zbl 1395.92092 Inverse Probl. Imaging 12, No. 2, 331-348 (2018). MSC: 92C55 62P10 44A12 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Inverse Probl. Imaging 12, No. 2, 331--348 (2018; Zbl 1395.92092) Full Text: DOI
Hubmer, Simon; Neubauer, Andreas; Ramlau, Ronny; Voss, Henning U. On the parameter estimation problem of magnetic resonance advection imaging. (English) Zbl 1397.65175 Inverse Probl. Imaging 12, No. 1, 175-204 (2018). MSC: 65M32 68U10 92C50 65F10 65M06 92C55 65T60 93B30 78A40 PDFBibTeX XMLCite \textit{S. Hubmer} et al., Inverse Probl. Imaging 12, No. 1, 175--204 (2018; Zbl 1397.65175) Full Text: DOI
Kluth, Tobias Mathematical models for magnetic particle imaging. (English) Zbl 1395.78271 Inverse Probl. 34, No. 8, Article ID 083001, 27 p. (2018); erratum ibid. 36, No. 3, Article ID 039601, 2 p. (2020). MSC: 78A55 92C55 45P05 78-02 PDFBibTeX XMLCite \textit{T. Kluth}, Inverse Probl. 34, No. 8, Article ID 083001, 27 p. (2018; Zbl 1395.78271) Full Text: DOI arXiv
Ali, M. Syed; Zhu, Quanxin; Pavithra, S.; Gunasekaran, N. A study on \(\langle(\mathcal{Q,S,R})-\gamma\rangle\)-dissipative synchronisation of coupled reaction-diffusion neural networks with time-varying delays. (English) Zbl 1385.93001 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 49, No. 4, 755-765 (2018). MSC: 93A14 92B20 93D30 93C20 93D99 PDFBibTeX XMLCite \textit{M. S. Ali} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 49, No. 4, 755--765 (2018; Zbl 1385.93001) Full Text: DOI
Frikel, Jürgen; Haltmeier, Markus Efficient regularization with wavelet sparsity constraints in photoacoustic tomography. (English) Zbl 1385.92028 Inverse Probl. 34, No. 2, Article ID 024006, 28 p. (2018). MSC: 92C55 94A08 PDFBibTeX XMLCite \textit{J. Frikel} and \textit{M. Haltmeier}, Inverse Probl. 34, No. 2, Article ID 024006, 28 p. (2018; Zbl 1385.92028) Full Text: DOI arXiv
Schwab, Johannes; Pereverzyev, Sergiy jun.; Haltmeier, Markus A Galerkin least squares approach for photoacoustic tomography. (English) Zbl 1422.65464 SIAM J. Numer. Anal. 56, No. 1, 160-184 (2018). MSC: 65R32 45Q05 92C55 PDFBibTeX XMLCite \textit{J. Schwab} et al., SIAM J. Numer. Anal. 56, No. 1, 160--184 (2018; Zbl 1422.65464) Full Text: DOI arXiv
Manivannan, R.; Samidurai, R.; Cao, Jinde; Alsaedi, Ahmed; Alsaadi, Fuad E. Global exponential stability and dissipativity of generalized neural networks with time-varying delay signals. (English) Zbl 1434.34065 Neural Netw. 87, 149-159 (2017). MSC: 34K20 34K21 92B20 PDFBibTeX XMLCite \textit{R. Manivannan} et al., Neural Netw. 87, 149--159 (2017; Zbl 1434.34065) Full Text: DOI
Rajchakit, G.; Saravanakumar, R.; Ahn, Choon Ki; Karimi, Hamid Reza Improved exponential convergence result for generalized neural networks including interval time-varying delayed signals. (English) Zbl 1432.34096 Neural Netw. 86, 10-17 (2017). MSC: 34K25 34K20 92B20 PDFBibTeX XMLCite \textit{G. Rajchakit} et al., Neural Netw. 86, 10--17 (2017; Zbl 1432.34096) Full Text: DOI
Bastounis, Alexander; Hansen, Anders C. On the absence of uniform recovery in many real-world applications of compressed sensing and the restricted isometry property and nullspace property in levels. (English) Zbl 1375.94017 SIAM J. Imaging Sci. 10, No. 1, 335-371 (2017). MSC: 94A08 94A20 42C40 65R32 92C55 PDFBibTeX XMLCite \textit{A. Bastounis} and \textit{A. C. Hansen}, SIAM J. Imaging Sci. 10, No. 1, 335--371 (2017; Zbl 1375.94017) Full Text: DOI arXiv
Perez, Husein; Pidcock, Michael; Sebu, Cristiana A three-dimensional image reconstruction algorithm for electrical impedance tomography using planar electrode arrays. (English) Zbl 1359.92066 Inverse Probl. Sci. Eng. 25, No. 4, 471-491 (2017). MSC: 92C55 PDFBibTeX XMLCite \textit{H. Perez} et al., Inverse Probl. Sci. Eng. 25, No. 4, 471--491 (2017; Zbl 1359.92066) Full Text: DOI Link
Prieto, Kernel; Dorn, Oliver Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D. (English) Zbl 1361.65104 Inverse Probl. 33, No. 1, Article ID 014001, 28 p. (2017). MSC: 65R20 45K05 65R32 45Q05 92C55 PDFBibTeX XMLCite \textit{K. Prieto} and \textit{O. Dorn}, Inverse Probl. 33, No. 1, Article ID 014001, 28 p. (2017; Zbl 1361.65104) Full Text: DOI
Adcock, Ben; Hansen, Anders C.; Poon, Clarice; Roman, Bogdan Breaking the coherence barrier: a new theory for compressed sensing. (English) Zbl 1410.94030 Forum Math. Sigma 5, Paper No. e4, 84 p. (2017). MSC: 94A20 94A08 42C40 65R32 92C55 PDFBibTeX XMLCite \textit{B. Adcock} et al., Forum Math. Sigma 5, Paper No. e4, 84 p. (2017; Zbl 1410.94030) Full Text: DOI arXiv
Groh, Andreas; Kohr, Holger; Louis, Alfred K. Numerical rate function determination in partial differential equations modeling cell population dynamics. (English) Zbl 1377.65122 J. Math. Biol. 74, No. 3, 533-565 (2017). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M32 92D25 35K20 35R30 PDFBibTeX XMLCite \textit{A. Groh} et al., J. Math. Biol. 74, No. 3, 533--565 (2017; Zbl 1377.65122) Full Text: DOI
Kuchment, Peter; Terzioglu, Fatma Three-dimensional image reconstruction from Compton camera data. (English) Zbl 1354.44002 SIAM J. Imaging Sci. 9, No. 4, 1708-1725 (2016). MSC: 44A12 53C65 65R10 92C55 PDFBibTeX XMLCite \textit{P. Kuchment} and \textit{F. Terzioglu}, SIAM J. Imaging Sci. 9, No. 4, 1708--1725 (2016; Zbl 1354.44002) Full Text: DOI arXiv
Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong The linearized inverse problem in multifrequency electrical impedance tomography. (English) Zbl 1381.94006 SIAM J. Imaging Sci. 9, No. 4, 1525-1551 (2016). MSC: 94A08 92C55 35J25 35R30 49N45 65F22 65N21 PDFBibTeX XMLCite \textit{G. S. Alberti} et al., SIAM J. Imaging Sci. 9, No. 4, 1525--1551 (2016; Zbl 1381.94006) Full Text: DOI arXiv
Hahn, Bernadette N. Null space and resolution in dynamic computerized tomography. (English) Zbl 1338.65279 Inverse Probl. 32, No. 2, Article ID 025006, 21 p. (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{B. N. Hahn}, Inverse Probl. 32, No. 2, Article ID 025006, 21 p. (2016; Zbl 1338.65279) Full Text: DOI
Hlaváčková-Schindler, Kateřina; Pereverzyev, Sergiy jun. Lasso Granger causal models: some strategies and their efficiency for gene expression regulatory networks. (English) Zbl 1404.92081 Guy, Tatiana V. (ed.) et al., Decision making: uncertainty, imperfection, deliberation and scalability. Extended versions of six selected contributions based on the presentations at the workshop “Scalable decision making: uncertainty, imperfection, deliberation”, Prague, Czech Republic, 2013. Cham: Springer (ISBN 978-3-319-15143-4/hbk; 978-3-319-15144-1/ebook). Studies in Computational Intelligence 538, 91-117 (2015). MSC: 92C42 62P10 92C40 PDFBibTeX XMLCite \textit{K. Hlaváčková-Schindler} and \textit{S. Pereverzyev jun.}, Stud. Comput. Intell. 538, 91--117 (2015; Zbl 1404.92081) Full Text: DOI
Bi, Bo; Han, Bo; Han, Weimin; Tang, Jinping; Li, Li Image reconstruction for diffuse optical tomography based on radiative transfer equation. (English) Zbl 1343.92257 Comput. Math. Methods Med. 2015, Article ID 286161, 23 p. (2015). MSC: 92C55 94A08 PDFBibTeX XMLCite \textit{B. Bi} et al., Comput. Math. Methods Med. 2015, Article ID 286161, 23 p. (2015; Zbl 1343.92257) Full Text: DOI
Knudsen, Kim; Garde, Henrik 3D reconstruction for partial data electrical impedance tomography using a sparsity prior. (English) Zbl 1335.65088 Discrete Contin. Dyn. Syst. 2015, Suppl., 495-504 (2015). MSC: 65N21 92C55 35Q60 35R30 78A30 PDFBibTeX XMLCite \textit{K. Knudsen} and \textit{H. Garde}, Discrete Contin. Dyn. Syst. 2015, 495--504 (2015; Zbl 1335.65088) Full Text: DOI arXiv
Pham, Quy Muoi Reconstructing conductivity coefficients based on sparsity regularization and measured data in electrical impedance tomography. (English) Zbl 1326.92048 Inverse Probl. Sci. Eng. 23, No. 8, 1366-1387 (2015). MSC: 92C55 65N21 35R11 PDFBibTeX XMLCite \textit{Q. M. Pham}, Inverse Probl. Sci. Eng. 23, No. 8, 1366--1387 (2015; Zbl 1326.92048) Full Text: DOI
Liu, Dong; Kolehmainen, Ville; Siltanen, Samuli; Laukkanen, Anne-Maria; Seppänen, Aku Estimation of conductivity changes in a region of interest with electrical impedance tomography. (English) Zbl 1310.65139 Inverse Probl. Imaging 9, No. 1, 211-229 (2015). MSC: 65N21 35J25 35R30 92C55 65Z05 PDFBibTeX XMLCite \textit{D. Liu} et al., Inverse Probl. Imaging 9, No. 1, 211--229 (2015; Zbl 1310.65139) Full Text: DOI arXiv
Bennequin, Daniel Remarks on invariance in the primary visual systems of mammals. (English) Zbl 1327.92012 Citti, Giovanna (ed.) et al., Neuromathematics of vision. Berlin: Springer (ISBN 978-3-642-34443-5/hbk; 978-3-642-34444-2/ebook). Lecture Notes in Morphogenesis, 243-333 (2014). MSC: 92C20 62B10 PDFBibTeX XMLCite \textit{D. Bennequin}, in: Neuromathematics of vision. Berlin: Springer. 243--333 (2014; Zbl 1327.92012) Full Text: DOI
Gehre, Matthias; Kluth, Tobias; Sebu, Cristiana; Maass, Peter Sparse 3D reconstructions in electrical impedance tomography using real data. (English) Zbl 1304.65242 Inverse Probl. Sci. Eng. 22, No. 1, 31-44 (2014). MSC: 65N21 92C55 PDFBibTeX XMLCite \textit{M. Gehre} et al., Inverse Probl. Sci. Eng. 22, No. 1, 31--44 (2014; Zbl 1304.65242) Full Text: DOI Link
Doyley, M. M.; Jadamba, B.; Khan, A. A.; Sama, M.; Winkler, B. A new energy inversion for parameter identification in saddle point problems with an application to the elasticity imaging inverse problem of predicting tumor location. (English) Zbl 1296.49032 Numer. Funct. Anal. Optim. 35, No. 7-9, 984-1017 (2014). MSC: 49N45 35R30 65N30 92C50 92C55 PDFBibTeX XMLCite \textit{M. M. Doyley} et al., Numer. Funct. Anal. Optim. 35, No. 7--9, 984--1017 (2014; Zbl 1296.49032) Full Text: DOI
Zhou, Qi; Shao, Xueying; Zhu, Jin; Karimi, Hamid Reza Stability analysis for uncertain neural networks of neutral type with time-varying delay in the leakage term and distributed delay. (English) Zbl 1291.34119 Abstr. Appl. Anal. 2013, Article ID 517604, 11 p. (2013). MSC: 34K20 92B20 PDFBibTeX XMLCite \textit{Q. Zhou} et al., Abstr. Appl. Anal. 2013, Article ID 517604, 11 p. (2013; Zbl 1291.34119) Full Text: DOI
Hsiao, Feng-Hsiag Delay-dependent exponential optimal \(H^\infty\) synchronization for nonidentical chaotic systems via neural-network-based approach. (English) Zbl 1261.93050 Abstr. Appl. Anal. 2013, Article ID 294892, 16 p. (2013). MSC: 93C42 93D20 93B36 92B20 PDFBibTeX XMLCite \textit{F.-H. Hsiao}, Abstr. Appl. Anal. 2013, Article ID 294892, 16 p. (2013; Zbl 1261.93050) Full Text: DOI
Wu, Zheng-Guang; Park, Ju H.; Su, Hongye; Chu, Jian Discontinuous Lyapunov functional approach to synchronization of time-delay neural networks using sampled-data. (English) Zbl 1263.34075 Nonlinear Dyn. 69, No. 4, 2021-2030 (2012). MSC: 34D06 34H10 92B20 PDFBibTeX XMLCite \textit{Z.-G. Wu} et al., Nonlinear Dyn. 69, No. 4, 2021--2030 (2012; Zbl 1263.34075) Full Text: DOI
Song, Qiankun; Cao, Jinde Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays. (English) Zbl 1268.34149 Adv. Difference Equ. 2011, Paper No. 16, 17 p. (2011). MSC: 34K35 34D06 92B20 34K23 34K25 34K60 PDFBibTeX XMLCite \textit{Q. Song} and \textit{J. Cao}, Adv. Difference Equ. 2011, Paper No. 16, 17 p. (2011; Zbl 1268.34149) Full Text: DOI
Mello, Luís Augusto Motta; De Sturler, Eric; Paulino, Glaucio H.; Silva, Emílio Carlos Nelli Recycling Krylov subspaces for efficient large-scale electrical impedance tomography. (English) Zbl 1225.92026 Comput. Methods Appl. Mech. Eng. 199, No. 49-52, 3101-3110 (2010). MSC: 92C55 92-08 78A70 PDFBibTeX XMLCite \textit{L. A. M. Mello} et al., Comput. Methods Appl. Mech. Eng. 199, No. 49--52, 3101--3110 (2010; Zbl 1225.92026) Full Text: DOI
Maass, Peter; Pidcock, Michael; Sebu, Cristiana A regularized solution for the inverse conductivity problem using mollifiers. (English) Zbl 1189.65316 Inverse Probl. Sci. Eng. 18, No. 1, 145-161 (2010). Reviewer: Robert Plato (Siegen) MSC: 65R32 45Q05 45B05 92C55 78A70 PDFBibTeX XMLCite \textit{P. Maass} et al., Inverse Probl. Sci. Eng. 18, No. 1, 145--161 (2010; Zbl 1189.65316) Full Text: DOI Link
Schleif, Frank-Michael; Lindemann, Mathias; Diaz, Mario; Maaß, Peter; Decker, Jens; Elssner, Thomas; Kuhn, Michael; Thiele, Herbert Support vector classification of proteomic profile spectra based on feature extraction with the bi-orthogonal discrete wavelet transform. (English) Zbl 1512.92042 Comput. Vis. Sci. 12, No. 4, 189-199 (2009). MSC: 92C55 42C40 62H30 65T60 PDFBibTeX XMLCite \textit{F.-M. Schleif} et al., Comput. Vis. Sci. 12, No. 4, 189--199 (2008; Zbl 1512.92042) Full Text: DOI
Schuster, T. Error estimates for defect correction methods in Doppler tomography. (English) Zbl 1099.65131 J. Inverse Ill-Posed Probl. 14, No. 1, 83-106 (2006). MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{T. Schuster}, J. Inverse Ill-Posed Probl. 14, No. 1, 83--106 (2006; Zbl 1099.65131) Full Text: DOI
Rieder, Andreas; Schuster, Thomas The approximate inverse in action II: convergence and stability. (English) Zbl 1022.65066 Math. Comput. 72, No. 243, 1399-1415 (2003). Reviewer: R.S.Dahiya (Ames) MSC: 65J10 65J20 65R10 44A12 47A50 47A52 92C55 65R30 PDFBibTeX XMLCite \textit{A. Rieder} and \textit{T. Schuster}, Math. Comput. 72, No. 243, 1399--1415 (2003; Zbl 1022.65066) Full Text: DOI
Das, P. C.; Sastry, Ch. S. Region-of-interest tomography using a composite Fourier-wavelet algorithm. (English) Zbl 1016.92020 Numer. Funct. Anal. Optimization 23, No. 7-8, 757-777 (2002). MSC: 92C55 65T60 42C40 PDFBibTeX XMLCite \textit{P. C. Das} and \textit{Ch. S. Sastry}, Numer. Funct. Anal. Optim. 23, No. 7--8, 757--777 (2002; Zbl 1016.92020) Full Text: DOI
Wang, Jinping; Du, Jinyuan The numerical method of inversion for the interior Radon transform. (English) Zbl 0966.65104 Wuhan Univ. J. Nat. Sci. 5, No. 2, 143-146 (2000). Reviewer: R.S.Dahiya (Ames) MSC: 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{J. Wang} and \textit{J. Du}, Wuhan Univ. J. Nat. Sci. 5, No. 2, 143--146 (2000; Zbl 0966.65104) Full Text: DOI
Madych, W. R. Tomography, approximate reconstruction, and continuous wavelet transforms. (English) Zbl 0945.42021 Appl. Comput. Harmon. Anal. 7, No. 1, 54-100 (1999). Reviewer: W.Schempp (Siegen) MSC: 42C40 92C55 94A12 44A12 PDFBibTeX XMLCite \textit{W. R. Madych}, Appl. Comput. Harmon. Anal. 7, No. 1, 54--100 (1999; Zbl 0945.42021) Full Text: DOI
Zhao, Shiying Wavelet filtering of filtered backprojection in computed tomography. (English) Zbl 1002.92538 Appl. Comput. Harmon. Anal. 6, No. 3, 346-373 (1999). MSC: 92C55 65T60 PDFBibTeX XMLCite \textit{S. Zhao}, Appl. Comput. Harmon. Anal. 6, No. 3, 346--373 (1999; Zbl 1002.92538) Full Text: DOI
Tervo, J.; Kolmonen, P. Data fitting model for the kernel of integral operator from radiation therapy. (English) Zbl 1069.92513 Math. Comput. Modelling 28, No. 3, 59-77 (1998). MSC: 92C50 45G10 45B05 PDFBibTeX XMLCite \textit{J. Tervo} and \textit{P. Kolmonen}, Math. Comput. Modelling 28, No. 3, 59--77 (1998; Zbl 1069.92513) Full Text: DOI