## Inverse Problems and Imaging

 Short Title: Inverse Probl. Imaging Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1930-8337; 1930-8345/e Online: https://www.aimsciences.org/journal/1930-8337http://aimsciences.org/journal/1930-8337 Comments: Indexed cover-to-cover
 Documents Indexed: 805 Publications (since 2007) References Indexed: 468 Publications with 16,170 References.
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### Latest Issues

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### Authors

 14 Siltanen, Samuli 13 Osher, Stanley Joel 12 Tai, Xuecheng 11 Bal, Guillaume 10 Cakoni, Fioralba 9 Kaipio, Jari P. 9 Scherzer, Otmar 8 Chan, Raymond Hon-Fu 8 Chen, Yunmei 8 Haddar, Houssem 8 Hyvönen, Nuutti 8 Kaltenbacher, Barbara 8 Lassas, Matti J. 8 Stefanov, Plamen D. 8 Uhlmann, Gunther Alberto 8 Yamamoto, Masahiro 7 Bourgeois, Laurent 7 Chan, Tony Fan-Cheong 7 Hu, Guanghui 7 Ikehata, Masaru 7 Isakov, Victor M. 7 Kolehmainen, Ville 7 Li, Peijun 7 Sini, Mourad 6 Avdonin, Sergeĭ Anatol’evich 6 Dardé, Jérémi 6 Klibanov, Michael V. 6 Lehtinen, Markku S. 6 Liu, Hongyu 6 Monard, François 6 Ramlau, Ronny 6 Serov, Valery S. 6 Vese, Luminita A. 6 Wang, Jenn-Nan 6 Zeng, Tie Yong 5 Cai, Jian-Feng 5 Calvetti, Daniela 5 Chen, Ke 5 Grasmair, Markus 5 Guo, Weihong 5 Knudsen, Kim M. 5 Krishnan, Venkateswaran P. 5 Lasanen, Sari 5 Leitão, Antonio 5 Mueller, Jennifer L. 5 Nakamura, Gen 5 Ng, Michael Kwok-Po 5 Piiroinen, Petteri 5 Quinto, Eric Todd 5 Roininen, Lassi 5 Rundell, William 5 Salo, Mikko 5 Somersalo, Erkki 5 Yang, Jiaqing 5 Zhang, Xiaoqun 5 Zhu, Wei 5 Zou, Jun 4 Arridge, Simon R. 4 Assylbekov, Yernat M. 4 Beretta, Elena 4 Boman, Jan 4 Chapko, Roman 4 Duan, Yuping 4 Garnier, Josselin 4 Guo, Yukun 4 Hamilton, Sarah Jane 4 Huttunen, Janne M. J. 4 Jiang, Daijun 4 Kian, Yavar 4 Kirsch, Andreas 4 Kress, Rainer 4 Kuchment, Peter A. 4 Lai, Ru-Yu 4 Lechleiter, Armin 4 Li, Jingzhi 4 Li, Song 4 Lin, Yi-Hsuan 4 Lou, Yifei 4 Lui, Lok Ming 4 Monk, Peter B. 4 Neubauer, Andreas 4 Nguyen, Dinh Liem 4 Nguyen, Loc Hoang 4 Nikolova, Mila 4 Päivärinta, Lassi 4 Pang, Zhifeng 4 Piana, Michele 4 Qin, Jing 4 Shen, Zuowei 4 Sincich, Eva 4 Sixou, Bruno 4 Tamasan, Alexandru 4 Tyni, Teemu 4 Yang, Yang 4 Zhang, Bo 4 Zhang, Deyue 3 Albani, Vinicius V. L. 3 Alessandrini, Giovanni 3 Alsaker, Melody 3 Bardsley, Johnathan M. ...and 1,192 more Authors
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### Fields

 417 Partial differential equations (35-XX) 370 Numerical analysis (65-XX) 155 Information and communication theory, circuits (94-XX) 129 Optics, electromagnetic theory (78-XX) 126 Computer science (68-XX) 88 Biology and other natural sciences (92-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 62 Statistics (62-XX) 56 Integral transforms, operational calculus (44-XX) 54 Operator theory (47-XX) 47 Mechanics of deformable solids (74-XX) 44 Operations research, mathematical programming (90-XX) 36 Differential geometry (53-XX) 32 Integral equations (45-XX) 29 Geophysics (86-XX) 24 Probability theory and stochastic processes (60-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 23 Quantum theory (81-XX) 22 Ordinary differential equations (34-XX) 22 Fluid mechanics (76-XX) 20 Potential theory (31-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Functional analysis (46-XX) 16 Systems theory; control (93-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 10 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 6 Real functions (26-XX) 6 Astronomy and astrophysics (85-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Difference and functional equations (39-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Mathematics education (97-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

599 Publications have been cited 4,476 times in 3,009 Documents Cited by Year
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
2007
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
2008
Regularized D-bar method for the inverse conductivity problem. Zbl 1184.35314
Knudsen, Kim; Lassas, Matti; Mueller, Jennifer L.; Siltanen, Samuli
2009
Discretization-invariant Bayesian inversion and Besov space priors. Zbl 1191.62046
Lassas, Matti; Saksman, Eero; Siltanen, Samuli
2009
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
Isakov, Victor
2007
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
Wu, Chunlin; Zhang, Juyong; Tai, Xue-Cheng
2011
Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography. Zbl 1302.65245
Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
2014
Equilibrium measures and capacities in spectral theory. Zbl 1149.31004
Simon, Barry
2007
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
2010
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
2009
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
2013
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
2008
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Zbl 1194.35502
Ivanyshyn, Olha
2007
Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021
Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun
2015
A family of inversion formulas in thermoacoustic tomography. Zbl 1183.92054
Nguyen, Linh Viet
2009
Photo-acoustic inversion in convex domains. Zbl 1244.35080
Natterer, Frank
2012
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
2007
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
2007
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
2010
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Zbl 1250.58012
Bellassoued, Mourad; Dos Santos Ferreira, David
2011
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
2013
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
2012
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization. Zbl 1165.47009
Kindermann, Stefan; Neubauer, Andreas
2008
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
2007
Two-phase approach for deblurring images corrupted by impulse plus Gaussian noise. Zbl 1154.94306
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
2008
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
2013
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
2017
Localized potentials in electrical impedance tomography. Zbl 1154.35464
Gebauer, Bastian
2008
Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
2013
A direct sampling method for inverse scattering using far-field data. Zbl 1273.35319
Li, Jingzhi; Zou, Jun
2013
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
2007
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
2019
A quasi-reversibility approach to solve the inverse obstacle problem. Zbl 1200.35318
Bourgeois, Laurent; Dardé, Jérémi
2010
Coordinate descent optimization for $$l^{1}$$ minimization with application to compressed sensing; a greedy algorithm. Zbl 1188.90196
Li, Yingying; Osher, Stanley
2009
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
2010
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
2013
A Rellich type theorem for discrete Schrödinger operators. Zbl 1322.47033
Isozaki, Hiroshi; Morioka, Hisashi
2014
Augmented Lagrangian method for an Euler’s elastica based segmentation model that promotes convex contours. Zbl 1416.94013
Bae, Egil; Tai, Xue-Cheng; Zhu, Wei
2017
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
Non-local regularization of inverse problems. Zbl 1223.68116
Peyré, Gabriel; Bougleux, Sébastien; Cohen, Laurent
2011
The factorization method applied to cracks with impedance boundary conditions. Zbl 1302.35430
2013
Inverse problems for Einstein manifolds. Zbl 1229.58025
Guillarmou, Colin; Sá Barreto, Antônio
2009
Non-Gaussian statistical inverse problems. Part I: Posterior distributions. Zbl 1263.62041
Lasanen, Sari
2012
Determining nonsmooth first order terms from partial boundary measurements. Zbl 1122.35152
Knudsen, Kim; Salo, Mikko
2007
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
Li, Peijun; Yuan, Ganghua
2017
Inverse problems with partial data in a slab. Zbl 1200.35331
Li, Xiaosheng; Uhlmann, Gunther
2010
A decomposition method for an interior inverse scattering problem. Zbl 1273.78012
Zeng, Fang; Suarez, Pablo; Sun, Jiguang
2013
Stability estimates in stationary inverse transport. Zbl 1168.35446
Bal, Guillaume; Jollivet, Alexandre
2008
Stability of Calderón’s inverse conductivity problem in the plane for discontinuous conductivities. Zbl 1202.35346
Clop, Albert; Faraco, Daniel; Ruiz, Alberto
2010
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
2012
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
2007
Iterative time-reversal control for inverse problems. Zbl 1141.35468
Bingham, Kenrick; Kurylev, Yaroslav; Lassas, Matti; Siltanen, Samuli
2008
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
2018
Simultaneous determination of the diffusion and absorption coefficient from boundary data. Zbl 1261.35153
Harrach, Bastian
2012
Non-Gaussian statistical inverse problems. II: Posterior convergence for approximated unknowns. Zbl 1263.62042
Lasanen, Sari
2012
Approximation errors and truncation of computational domains with application to geophysical tomography. Zbl 1121.65113
Lehikoinen, A.; Finsterle, S.; Voutilainen, A.; Heikkinen, L. M.; Vauhkonen, M.; Kaipio, J. P.
2007
Restoration of manifold-valued images by half-quadratic minimization. Zbl 1348.65097
Bergmann, Ronny; Chan, Raymond; Hielscher, Ralf; Persch, Johannes; Steidl, Gabriele
2016
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
2016
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case. Zbl 1369.65115
Bécache, Eliane; Bourgeois, Laurent; Franceschini, Lucas; Dardé, Jérémi
2015
Full identification of acoustic sources with multiple frequencies and boundary measurements. Zbl 1187.65124
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
2009
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
2010
Anisotropic total variation regularized $$L^1$$ approximation and denoising/deblurring of 2D bar codes. Zbl 1226.49034
Choksi, Rustum; van Gennip, Yves; Oberman, Adam
2011
A study of the one dimensional total generalised variation regularisation problem. Zbl 1336.49044
Papafitsoros, Konstantinos; Bredies, Kristian
2015
A TV Bregman iterative model of Retinex theory. Zbl 1261.68153
Ma, Wenye; Osher, Stanley
2012
Detecting small low emission radiating sources. Zbl 1266.82083
Allmaras, Moritz; Darrow, David; Hristova, Yulia; Kanschat, Guido; Kuchment, Peter
2013
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
Lechleiter, Armin
2009
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
2009
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
2009
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
2019
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements. Zbl 1304.35762
Beretta, Elena; Francini, Elisa; Vessella, Sergio
2014
Inverse transport with isotropic sources and angularly averaged measurements. Zbl 1171.65104
Bal, Guillaume; Langmore, Ian; Monard, François
2008
The “exterior approach” to solve the inverse obstacle problem for the Stokes system. Zbl 1284.35009
Bourgeois, Laurent; Dardé, Jérémi
2014
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
2010
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
2010
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
2015
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
2012
Inverse acoustic obstacle scattering problems using multifrequency measurements. Zbl 1261.35154
2012
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
2013
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
2010
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
2010
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
2019
Stability of the determination of a coefficient for wave equations in an infinite waveguide. Zbl 1432.35256
Kian, Yavar
2014
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map. Zbl 1328.35312
Isakov, Victor; Wang, Jenn-Nan
2014
A nonstandard smoothing in reconstruction of apparent diffusion coefficient profiles from diffusion weighted images. Zbl 1391.94063
Chen, Yunmei; Guo, Weihong; Zeng, Qingguo; Liu, Yijun
2008
Scattering problems for perturbations of the multidimensional biharmonic operator. Zbl 06936142
Tyni, Teemu; Serov, Valery
2018
Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors. Zbl 1368.65085
Sullivan, T. J.
2017
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems. Zbl 06637594
Dardé, Jérémi
2016
A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid. Zbl 1266.49076
Caubet, Fabien; Dambrine, Marc; Kateb, Djalil; Timimoun, Chahnaz Zakia
2013
An inverse fluid–solid interaction problem. Zbl 1183.65138
Monk, Peter; Selgas, Virginia
2009
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
2011
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
2019
Inverse obstacle scattering with limited-aperture data. Zbl 1241.65094
Ikehata, Masaru; Niemi, Esa; Siltanen, Samuli
2012
Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Zbl 1160.65023
Hohage, Thorsten; Pricop, Mihaela
2008
On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. Zbl 1350.49050
Caubet, Fabien; Conca, Carlos; Godoy, Matías
2016
Efficient tensor tomography in Fan-beam coordinates. Zbl 1348.35324
Monard, François
2016
A parallel space-time domain decomposition method for unsteady source inversion problems. Zbl 1332.65057
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
2015
Nonstationary iterated thresholding algorithms for image deblurring. Zbl 1318.94015
Huang, Jie; Donatelli, Marco; Chan, Raymond H.
2013
Inverse diffusion problems with redundant internal information. Zbl 1302.35449
Monard, François; Bal, Guillaume
2012
A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification. Zbl 07562718
2022
Partial inversion of the 2D attenuated $$X$$-ray transform with data on an arc. Zbl 07464248
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru
2022
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations. Zbl 1484.35411
Lai, Ru-Yu; Ohm, Laurel
2022
On new surface-localized transmission eigenmodes. Zbl 1487.35266
Deng, Youjun; Jiang, Yan; Liu, Hongyu; Zhang, Kai
2022
A new approach to the inverse discrete transmission eigenvalue problem. Zbl 07562714
Bondarenko, Natalia P.; Yurko, Vjacheslav A.
2022
Quasiconformal model with CNN features for large deformation image registration. Zbl 07562725
Law, Ho; Choi, Gary P. T.; Lam, Ka Chun; Lui, Lok Ming
2022
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems. Zbl 1471.35327
Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse
2021
A new variational approach based on level-set function for convex hull problem with outliers. Zbl 07365413
Li, Lingfeng; Luo, Shousheng; Tai, Xue-Cheng; Yang, Jiang
2021
Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies. Zbl 1467.35345
Dabrowski, Alexander; Ghandriche, Ahcene; Sini, Mourad
2021
Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training. Zbl 07354120
Wang, Bao; Lin, Alex; Yin, Penghang; Zhu, Wei; Bertozzi, Andrea L.; Osher, Stanley J.
2021
A regularization operator for source identification for elliptic PDEs. Zbl 1471.35329
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik
2021
Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications. Zbl 1476.90248
Yang, Yixuan; Tang, Yuchao; Wen, Meng; Zeng, Tieyong
2021
Two-dimensional inverse scattering for quasi-linear biharmonic operator. Zbl 1473.35293
Harju, Markus; Kultima, Jaakko; Serov, Valery; Tyni, Teemu
2021
3D electrical impedance tomography reconstructions from simulated electrode data using direct inversion $$\mathbf{t}^{\mathbf{exp}}$$ and Calderón methods. Zbl 1481.65211
Hamilton, Sarah J.; Isaacson, David; Kolehmainen, Ville; Muller, Peter A.; Toivainen, Jussi; Bray, Patrick F.
2021
A linear sampling method for inverse acoustic scattering by a locally rough interface. Zbl 1472.35457
Li, Jianliang; Yang, Jiaqing; Zhang, Bo
2021
Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption. Zbl 1467.35350
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai
2021
Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems. Zbl 07365409
Zhang, Ye; Hofmann, Bernd
2021
Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex. Zbl 1471.34057
Yang, Lu; Wei, Guangsheng; Pivovarchik, Vyacheslav
2021
Bilinear constraint based ADMM for mixed Poisson-Gaussian noise removal. Zbl 1471.65060
Zhang, Jie; Duan, Yuping; Lu, Yue; Ng, Michael K.; Chang, Huibin
2021
Some application examples of minimization based formulations of inverse problems and their regularization. Zbl 1473.65068
Huynh, Kha Van; Kaltenbacher, Barbara
2021
The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225
Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan
2021
Global convergence and geometric characterization of slow to fast weight evolution in neural network training for classifying linearly non-separable data. Zbl 1469.90113
Long, Ziang; Yin, Penghang; Xin, Jack
2021
Stochastic greedy algorithms for multiple measurement vectors. Zbl 07354118
Qin, Jing; Li, Shuang; Needell, Deanna; Ma, Anna; Grotheer, Rachel; Huang, Chenxi; Durgin, Natalie
2021
Bragg scattering tomography. Zbl 1480.44005
Webber, James W.; Miller, Eric L.
2021
Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification. Zbl 1473.35159
Cogar, Samuel
2021
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
2021
Phase retrieval from Fourier measurements with masks. Zbl 1472.94009
Li, Huiping; Li, Song
2021
Boundary determination of electromagnetic and Lamé parameters with corrupted data. Zbl 1472.35449
Caro, Pedro; Lai, Ru-Yu; Lin, Yi-Hsuan; Zhou, Ting
2021
Limited-angle CT reconstruction with generalized shrinkage operators as regularizers. Zbl 1481.65092
Deng, Xiaojuan; Zhao, Xing; Li, Mengfei; Li, Hongwei
2021
An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition. Zbl 1436.34013
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna; Xu, Xiao-Chuan
2020
Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017
Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu
2020
Poisson image denoising based on fractional-order total variation. Zbl 1455.94013
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei
2020
Diffusion generated methods for denoising target-valued images. Zbl 1437.65126
Osting, Braxton; Wang, Dong
2020
Regularization of inverse problems via box constrained minimization. Zbl 07208028
Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz
2020
Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency. Zbl 07208030
Xu, Xiaoxu; Zhang, Bo; Zhang, Haiwen
2020
Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation. Zbl 1458.35478
Kian, Yavar; Tetlow, Alexander
2020
Nonlocal regularized CNN for image segmentation. Zbl 1451.68307
Jia, Fan; Tai, Xue-Cheng; Liu, Jun
2020
Interactions of semilinear progressing waves in two or more space dimensions. Zbl 1464.35003
Barreto, Antônio Sá
2020
Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction. Zbl 1448.62108
Lv, Didi; Zhou, Qingping; Choi, Jae Kyu; Li, Jinglai; Zhang, Xiaoqun
2020
The linear sampling method for Kirchhoff-Love infinite plates. Zbl 1435.35415
Bourgeois, Laurent; Recoquillay, Arnaud
2020
$$\chi^2$$ test for total variation regularization parameter selection. Zbl 1448.65028
2020
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics. Zbl 1447.65062
Hu, Guanghui; Kian, Yavar
2020
Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031
Gilman, Mikhail; Tsynkov, Semyon
2020
Joint reconstruction in low dose multi-energy CT. Zbl 1444.92061
Toivanen, Jussi; Meaney, Alexander; Siltanen, Samuli; Kolehmainen, Ville
2020
Reconstruction of the derivative of the conductivity at the boundary. Zbl 1448.35580
Ponce-Vanegas, Felipe
2020
Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements. Zbl 1447.35373
2020
Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data. Zbl 1447.35389
Smirnov, Alexey; Klibanov, Michael; Nguyen, Loc
2020
A content-adaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction. Zbl 1431.94008
Chen, Yun; Huang, Jiasheng; Li, Si; Lu, Yao; Xu, Yuesheng
2020
A partial data inverse problem for the convection-diffusion equation. Zbl 1431.35247
Sahoo, Suman Kumar; Vashisth, Manmohan
2020
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
2020
On range condition of the tensor x-ray transform in $$\mathbb R^n$$. Zbl 1451.44003
Denisiuk, Aleksander
2020
Uniqueness results in the inverse spectral Steklov problem. Zbl 1441.58008
Gendron, Germain
2020
Thermoacoustic tomography with circular integrating detectors and variable wave speed. Zbl 1448.35579
Mathison, Chase
2020
A nonconvex truncated regularization and box-constrained model for CT reconstruction. Zbl 1460.92114
Wang, Weina; Wu, Chunlin; Gao, Yiming
2020
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381
Kaltenbacher, Barbara; Rundell, William
2020
Optimal recovery of a radiating source with multiple frequencies along one line. Zbl 1471.44003
Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu
2020
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation. Zbl 1464.35399
Liu, Chan; Wen, Jin; Zhang, Zhidong
2020
Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell’s equations. Zbl 1479.65019
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie
2020
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
2019
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
2019
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
2019
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
2019
An inverse obstacle problem for the wave equation in a finite time domain. Zbl 1410.35283
Bourgeois, Laurent; Ponomarev, Dmitry; Dardé, Jérémi
2019
Momentum ray transforms. Zbl 1426.44002
Krishnan, Venkateswaran P.; Manna, Ramesh; Sahoo, Suman Kumar; Sharafutdinov, Vladimir A.
2019
Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data. Zbl 1423.35454
Rüland, Angkana; Sincich, Eva
2019
Microlocal analysis of a spindle transform. Zbl 1411.35019
Webber, James W.; Holman, Sean
2019
A convergent numerical method for a multi-frequency inverse source problem in inhomogenous media. Zbl 1423.35453
Nguyen, Loc H.; Li, Qitong; Klibanov, Michael V.
2019
Recovering two coefficients in an elliptic equation via phaseless information. Zbl 1407.35229
2019
A partial inverse problem for the Sturm-Liouville operator on the lasso-graph. Zbl 1410.34066
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
2019
Inverse obstacle scattering for elastic waves in three dimensions. Zbl 1435.74045
Li, Peijun; Yuan, Xiaokai
2019
Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385
Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu
2019
On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
2019
Travel time tomography with formally determined incomplete data in 3D. Zbl 1427.35362
Klibanov, Michael V.
2019
An augmented Lagrangian method for solving a new variational model based on gradients similarity measures and high order regulariation for multimodality registration. Zbl 1410.65360
Theljani, Anis; Chen, Ke
2019
Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Zbl 1418.35380
Korpela, Jussi; Lassas, Matti; Oksanen, Lauri
2019
Determining rough first order perturbations of the polyharmonic operator. Zbl 1423.35433
Assylbekov, Yernat; Iyer, Karthik
2019
Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line. Zbl 1472.34151
Tyni, Teemu; Serov, Valery
2019
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
2019
Inverse random source problem for biharmonic equation in two dimensions. Zbl 1471.45013
Gong, Yuxuan; Xu, Xiang
2019
Dynamic inverse problem for Jacobi matrices. Zbl 1418.35382
Mikhaylov, Alexandr; Mikhaylov, Victor
2019
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2019
Note on Calderón’s inverse problem for measurable conductivities. Zbl 1407.35230
Santacesaria, Matteo
2019
Incorporating structural prior information and sparsity into EIT using parallel level sets. Zbl 1410.65433
Kolehmainen, Ville; Ehrhardt, Matthias J.; Arridge, Simon R.
2019
Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography. Zbl 1410.35269
Chen, I-Kun; Kawagoe, Daisuke
2019
Edge-adaptive $$\ell_2$$ regularization image reconstruction from non-uniform Fourier data. Zbl 1440.94002
Churchill, Victor; Archibald, Rick; Gelb, Anne
2019
Integral equations for biharmonic data completion. Zbl 1447.35377
Chapko, Roman; Johansson, B. Tomas
2019
Magnetic moment estimation and bounded extremal problems. Zbl 1410.35025
Baratchart, Laurent; Chevillard, Sylvain; Hardin, Douglas; Leblond, Juliette; Lima, Eduardo Andrade; Marmorat, Jean-Paul
2019
Nonconvex TGV regularization model for multiplicative noise removal with spatially varying parameters. Zbl 1491.94009
Na, Hanwool; Kang, Myeongmin; Jung, Miyoun; Kang, Myungjoo
2019
A connection between uniqueness of minimizers in Tikhonov-type regularization and Morozov-like discrepancy principles. Zbl 07031523
2019
CT image reconstruction on a low dimensional manifold. Zbl 1426.94012
Cong, Wenxiang; Wang, Ge; Yang, Qingsong; Li, Jia; Hsieh, Jiang; Lai, Rongjie
2019
A stochastic approach to reconstruction of faults in elastic half space. Zbl 1432.35260
Volkov, Darko; Sandiumenge, Joan Calafell
2019
On periodic parameter identification in stochastic differential equations. Zbl 1418.65083
Niu, Pingping; Lu, Shuai; Cheng, Jin
2019
A dual EM algorithm for TV regularized Gaussian mixture model in image segmentation. Zbl 1426.94033
Yan, Shi; Liu, Jun; Huang, Haiyang; Tai, Xue-Cheng
2019
Recovering low-rank matrices from binary measurements. Zbl 1431.15002
Foucart, Simon; Lynch, Richard G.
2019
Inverse elastic surface scattering with far-field data. Zbl 1418.78004
Diao, Huai-An; Li, Peijun; Yuan, Xiaokai
2019
Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008
Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly
2019
Piecewise constant signal and image denoising using a selective averaging method with multiple neighbors. Zbl 1440.94018
Wang, Weina; Wu, Chunlin; Deng, Jiansong
2019
Kullback-Leibler residual and regularization for inverse problems with noisy data and noisy operator. Zbl 07114763
Sixou, Bruno; Mory, Cyril
2019
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### Cited by 3,547 Authors

 46 Uhlmann, Gunther Alberto 32 Lassas, Matti J. 32 Salo, Mikko 30 Hu, Guanghui 26 Klibanov, Michael V. 26 Li, Peijun 23 Huang, Ting-Zhu 23 Kian, Yavar 23 Tai, Xuecheng 22 Haltmeier, Markus 22 Oksanen, Lauri 21 Haddar, Houssem 21 Harrach, Bastian 20 Cakoni, Fioralba 20 Siltanen, Samuli 20 Zhang, Bo 19 Liu, Hongyu 19 Stefanov, Plamen D. 18 Avdonin, Sergeĭ Anatol’evich 18 Nguyen, Loc Hoang 18 Sun, Jiguang 18 Yamamoto, Masahiro 18 Zhao, Xile 17 Bellassoued, Mourad 17 de Hoop, Maarten V. 17 Dong, Bin 17 Park, Won-Kwang 17 Scherzer, Otmar 17 Zeng, Tie Yong 16 Lesnic, Daniel 16 Lin, Yi-Hsuan 16 Lu, Shuai 16 Moon, Sunghwan 16 Nguyen, Dinh Liem 16 Shen, Zuowei 16 Stuart, Andrew M. 16 Yan, Guozheng 15 Chapko, Roman 15 Chen, Ke 15 Johansson, B. Tomas 15 Kaipio, Jari P. 15 Monard, François 15 Romanov, Vladimir Gavrilovich 14 Bao, Gang 14 Guo, Yukun 14 Hofmann, Bernd 14 Hyvönen, Nuutti 14 Ikehata, Masaru 14 Isakov, Victor M. 14 Liu, Xiaodong 14 Lui, Lok Ming 14 Ng, Michael Kwok-Po 14 Osher, Stanley Joel 14 Wu, Chunlin 13 Bal, Guillaume 13 Bourgeois, Laurent 13 Kaltenbacher, Barbara 13 Krishnan, Venkateswaran P. 13 Li, Jingzhi 13 Quinto, Eric Todd 13 Ramlau, Ronny 13 Yang, Yang 13 Zhang, Haiwen 13 Zou, Jun 12 Boumenir, Amin A. 12 Duan, Yuping 12 Karageorghis, Andreas 12 Lai, Ru-Yu 12 Mathé, Peter 12 Schönlieb, Carola-Bibiane 12 Sini, Mourad 12 Yang, Jiaqing 12 Zhao, Yue 11 Ammari, Habib M. 11 Dardé, Jérémi 11 Ghattas, Omar N. 11 Han, Bo 11 Huttunen, Janne M. J. 11 Nakamura, Gen 11 Shen, Lixin 11 Simon, Barry 11 Tamasan, Alexandru 11 Tzou, Leo 11 Wang, Jenn-Nan 11 Wu, Tingting 11 Xu, Liwei 11 Yang, Chuanfu 11 Zhang, Xiaoqun 11 Zhu, Wei 10 Calvetti, Daniela 10 Chang, Huibin 10 Helin, Tapio 10 Ji, Xia 10 Kindermann, Stefan 10 Kolehmainen, Ville 10 Kurylëv, Yaroslav Vadimovich 10 Li, Jianliang 10 Li, Qin 10 Mikhaylov, Victor S. 10 Mueller, Jennifer L. ...and 3,447 more Authors
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### Cited in 364 Journals

 296 Inverse Problems 245 Inverse Problems and Imaging 145 SIAM Journal on Imaging Sciences 89 Journal of Scientific Computing 74 Journal of Mathematical Imaging and Vision 68 Journal of Inverse and Ill-Posed Problems 64 SIAM Journal on Mathematical Analysis 60 Applicable Analysis 60 Journal of Computational and Applied Mathematics 60 Inverse Problems in Science and Engineering 55 Journal of Computational Physics 50 Journal of Mathematical Analysis and Applications 48 Computers & Mathematics with Applications 48 SIAM Journal on Applied Mathematics 46 SIAM Journal on Scientific Computing 44 Journal of Differential Equations 33 Applied Mathematics and Computation 28 Applied Numerical Mathematics 25 Advances in Computational Mathematics 24 Mathematical Problems in Engineering 23 SIAM Journal on Numerical Analysis 23 Applied Mathematical Modelling 22 Mathematical Methods in the Applied Sciences 21 Mathematics of Computation 21 Numerische Mathematik 21 SIAM/ASA Journal on Uncertainty Quantification 20 Applied and Computational Harmonic Analysis 18 Communications in Mathematical Physics 18 Computer Methods in Applied Mechanics and Engineering 17 Numerical Functional Analysis and Optimization 17 Communications in Partial Differential Equations 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Computational and Applied Mathematics 15 Journal of Functional Analysis 15 The Journal of Geometric Analysis 15 Numerical Algorithms 14 Journal of Optimization Theory and Applications 13 Applied Mathematics Letters 13 Multiscale Modeling & Simulation 12 International Journal of Computer Mathematics 12 Computational Optimization and Applications 12 Journal of Mathematical Sciences (New York) 12 The Journal of Fourier Analysis and Applications 12 Discrete and Continuous Dynamical Systems. Series S 12 Research in the Mathematical Sciences 11 Journal of Mathematical Physics 11 Advances in Mathematics 11 Applied Mathematics and Optimization 11 Mathematische Annalen 11 Proceedings of the American Mathematical Society 11 Journal of Integral Equations and Applications 11 Linear Algebra and its Applications 11 International Journal of Computer Vision 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Communications in Computational Physics 10 Wave Motion 10 Transactions of the American Mathematical Society 10 Analysis and Mathematical Physics 10 East Asian Journal on Applied Mathematics 9 BIT 9 Journal of Approximation Theory 9 European Journal of Applied Mathematics 9 Calculus of Variations and Partial Differential Equations 9 ETNA. Electronic Transactions on Numerical Analysis 9 Discrete and Continuous Dynamical Systems. Series B 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Communications on Pure and Applied Analysis 9 Journal of Spectral Theory 9 Mathematical Control and Related Fields 8 Archive for Rational Mechanics and Analysis 8 Engineering Analysis with Boundary Elements 8 Annales Henri Poincaré 8 Advances in Applied Mathematics and Mechanics 7 Journal d’Analyse Mathématique 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Multidimensional Systems and Signal Processing 7 SIAM Journal on Optimization 7 Abstract and Applied Analysis 7 Analysis and Applications (Singapore) 7 Mediterranean Journal of Mathematics 7 Boundary Value Problems 7 Electronic Research Archive 6 Acta Mathematicae Applicatae Sinica. English Series 6 Revista Matemática Iberoamericana 6 Journal of the American Mathematical Society 6 Applications of Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Electronic Journal of Statistics 6 Statistics and Computing 6 AIMS Mathematics 5 Calcolo 5 Information Sciences 5 Siberian Mathematical Journal 5 Constructive Approximation 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Review 5 Doklady Mathematics 5 Optimization Methods & Software 5 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Real World Applications ...and 264 more Journals
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### Cited in 54 Fields

 1,497 Partial differential equations (35-XX) 1,361 Numerical analysis (65-XX) 527 Information and communication theory, circuits (94-XX) 371 Optics, electromagnetic theory (78-XX) 351 Computer science (68-XX) 270 Calculus of variations and optimal control; optimization (49-XX) 254 Biology and other natural sciences (92-XX) 225 Operations research, mathematical programming (90-XX) 219 Operator theory (47-XX) 203 Statistics (62-XX) 164 Mechanics of deformable solids (74-XX) 148 Integral transforms, operational calculus (44-XX) 143 Fluid mechanics (76-XX) 108 Integral equations (45-XX) 105 Harmonic analysis on Euclidean spaces (42-XX) 100 Differential geometry (53-XX) 89 Ordinary differential equations (34-XX) 81 Global analysis, analysis on manifolds (58-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 74 Quantum theory (81-XX) 70 Probability theory and stochastic processes (60-XX) 56 Functional analysis (46-XX) 52 Systems theory; control (93-XX) 47 Potential theory (31-XX) 44 Geophysics (86-XX) 38 Functions of a complex variable (30-XX) 37 Real functions (26-XX) 35 Dynamical systems and ergodic theory (37-XX) 33 Statistical mechanics, structure of matter (82-XX) 25 Classical thermodynamics, heat transfer (80-XX) 24 Special functions (33-XX) 22 Approximations and expansions (41-XX) 21 Combinatorics (05-XX) 21 Difference and functional equations (39-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Astronomy and astrophysics (85-XX) 9 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 8 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of particles and systems (70-XX) 4 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX)