Harlim, John; Jiang, Shixiao W.; Kim, Hwanwoo; Sanz-Alonso, Daniel Graph-based prior and forward models for inverse problems on manifolds with boundaries. (English) Zbl 07474162 Inverse Probl. 38, No. 3, Article ID 035006, 31 p. (2022). MSC: 65Mxx 65Nxx 65Cxx PDFBibTeX XMLCite \textit{J. Harlim} et al., Inverse Probl. 38, No. 3, Article ID 035006, 31 p. (2022; Zbl 07474162) Full Text: DOI arXiv
Silva, Gabriel L. S.; Castello, Daniel A.; Kaipio, Jari P. Damage identification under uncertain mass density distributions. (English) Zbl 1506.74340 Comput. Methods Appl. Mech. Eng. 376, Article ID 113672, 25 p. (2021). MSC: 74R05 PDFBibTeX XMLCite \textit{G. L. S. Silva} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113672, 25 p. (2021; Zbl 1506.74340) Full Text: DOI
Kaipio, J. P.; Huttunen, T.; Luostari, T.; Lähivaara, T.; Monk, P. B. A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials. (English) Zbl 1444.35164 Inverse Probl. 35, No. 8, Article ID 084001, 19 p. (2019). Reviewer: Giovanni S. Alberti (Genova) MSC: 35R30 35J15 35P05 PDFBibTeX XMLCite \textit{J. P. Kaipio} et al., Inverse Probl. 35, No. 8, Article ID 084001, 19 p. (2019; Zbl 1444.35164) Full Text: DOI arXiv
Daon, Yair; Stadler, Georg Mitigating the influence of the boundary on PDE-based covariance operators. (English) Zbl 1401.65043 Inverse Probl. Imaging 12, No. 5, 1083-1102 (2018). MSC: 65F30 65N21 35R30 62F15 62M40 PDFBibTeX XMLCite \textit{Y. Daon} and \textit{G. Stadler}, Inverse Probl. Imaging 12, No. 5, 1083--1102 (2018; Zbl 1401.65043) Full Text: DOI arXiv
Nicholson, Ruanui; Petra, Noémi; Kaipio, Jari P. Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field. (English) Zbl 1404.65241 Inverse Probl. 34, No. 11, Article ID 115005, 26 p. (2018). MSC: 65N21 35J25 35R30 62F15 PDFBibTeX XMLCite \textit{R. Nicholson} et al., Inverse Probl. 34, No. 11, Article ID 115005, 26 p. (2018; Zbl 1404.65241) Full Text: DOI arXiv
Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. Bayes meets Krylov: statistically inspired preconditioners for CGLS. (English) Zbl 1392.65047 SIAM Rev. 60, No. 2, 429-461 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 65F08 65N22 65F22 PDFBibTeX XMLCite \textit{D. Calvetti} et al., SIAM Rev. 60, No. 2, 429--461 (2018; Zbl 1392.65047) Full Text: DOI
Mozumder, Meghdoot; Tarvainen, Tanja; Arridge, Simon; Kaipio, Jari P.; D’Andrea, Cosimo; Kolehmainen, Ville Approximate marginalization of absorption and scattering in fluorescence diffuse optical tomography. (English) Zbl 1332.74034 Inverse Probl. Imaging 10, No. 1, 227-246 (2016). MSC: 74J25 92C55 65R32 PDFBibTeX XMLCite \textit{M. Mozumder} et al., Inverse Probl. Imaging 10, No. 1, 227--246 (2016; Zbl 1332.74034) Full Text: DOI arXiv
Lee, Nam-Yong; Lucier, Bradley J. Preconditioned conjugate gradient method for boundary artifact-free image deblurring. (English) Zbl 1332.65037 Inverse Probl. Imaging 10, No. 1, 195-225 (2016). MSC: 65F08 65K10 68U10 PDFBibTeX XMLCite \textit{N.-Y. Lee} and \textit{B. J. Lucier}, Inverse Probl. Imaging 10, No. 1, 195--225 (2016; Zbl 1332.65037) Full Text: DOI
Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. (English) Zbl 1369.35113 Inverse Probl. Imaging 9, No. 3, 749-766 (2015). MSC: 35R30 35J20 35J25 65N21 78A48 PDFBibTeX XMLCite \textit{D. Calvetti} et al., Inverse Probl. Imaging 9, No. 3, 749--766 (2015; Zbl 1369.35113) Full Text: DOI
Arridge, Simon R.; Kaipio, Jari P.; Kolehmainen, Ville; Tarvainen, Tanja Optical imaging. 2nd edition. (English) Zbl 1331.92070 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1033-1079 (2015). MSC: 92C55 78A70 94A08 PDFBibTeX XMLCite \textit{S. R. Arridge} et al., in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1033--1079 (2015; Zbl 1331.92070) Full Text: DOI
Kuusela, Mikael; Panaretos, Victor M. Statistical unfolding of elementary particle spectra: empirical Bayes estimation and bias-corrected uncertainty quantification. (English) Zbl 1454.62533 Ann. Appl. Stat. 9, No. 3, 1671-1705 (2015). MSC: 62P35 PDFBibTeX XMLCite \textit{M. Kuusela} and \textit{V. M. Panaretos}, Ann. Appl. Stat. 9, No. 3, 1671--1705 (2015; Zbl 1454.62533) Full Text: DOI arXiv Euclid
Polydorides, N. A stochastic simulation method for uncertainty quantification in the linearized inverse conductivity problem. (English) Zbl 1242.78040 Int. J. Numer. Methods Eng. 90, No. 1, 22-39 (2012). MSC: 78M31 78A46 PDFBibTeX XMLCite \textit{N. Polydorides}, Int. J. Numer. Methods Eng. 90, No. 1, 22--39 (2012; Zbl 1242.78040) Full Text: DOI
Kolehmainen, V.; Kaipio, J. P.; Orlande, H. R. B. Reconstruction of thermal conductivity and heat capacity using a tomographic approach. (English) Zbl 1140.80396 Int. J. Heat Mass Transfer 51, No. 7-8, 1866-1876 (2008). MSC: 80A23 80A20 80M50 PDFBibTeX XMLCite \textit{V. Kolehmainen} et al., Int. J. Heat Mass Transfer 51, No. 7--8, 1866--1876 (2008; Zbl 1140.80396) Full Text: DOI
Kaipio, Jari; Somersalo, Erkki Statistical inverse problems: discretization, model reduction and inverse crimes. (English) Zbl 1101.65008 J. Comput. Appl. Math. 198, No. 2, 493-504 (2007). MSC: 65C60 62C10 PDFBibTeX XMLCite \textit{J. Kaipio} and \textit{E. Somersalo}, J. Comput. Appl. Math. 198, No. 2, 493--504 (2007; Zbl 1101.65008) Full Text: DOI
Calvetti, Daniela Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective. (English) Zbl 1101.65043 J. Comput. Appl. Math. 198, No. 2, 378-395 (2007). MSC: 65F22 65F10 65F35 65C60 62C10 PDFBibTeX XMLCite \textit{D. Calvetti}, J. Comput. Appl. Math. 198, No. 2, 378--395 (2007; Zbl 1101.65043) Full Text: DOI