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Inverse Problems

Short Title: Inverse Probl.
Publisher: IOP Publishing, Bristol
ISSN: 0266-5611
Online: http://iopscience.iop.org/0266-5611
Comments: Indexed cover-to-cover
Documents Indexed: 4,563 Publications (since 1985)
References Indexed: 917 Publications with 35,522 References.
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Latest Issues

38, No. 10 (2022)
38, No. 9 (2022)
38, No. 8 (2022)
38, No. 7 (2022)
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32, No. 12 (2016)
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31, No. 6 (2015)
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31, No. 2 (2015)
31, No. 1 (2015)
30, No. 12 (2014)
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30, No. 10 (2014)
30, No. 9 (2014)
30, No. 8 (2014)
30, No. 7 (2014)
...and 191 more Volumes
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Authors

75 Yamamoto, Masahiro
42 Klibanov, Michael V.
41 Ikehata, Masaru
36 Bertero, Mario
35 Somersalo, Erkki
33 Ramlau, Ronny
31 Borcea, Liliana
31 Burger, Martin
31 Colton, David Lem
31 Kaltenbacher, Barbara
31 Scherzer, Otmar
30 Cakoni, Fioralba
29 Cheney, Margaret
28 Bal, Guillaume
28 Hofmann, Bernd
27 Haddar, Houssem
27 Kaipio, Jari P.
27 Nakamura, Gen
27 Papanicolaou, George C.
26 Aktosun, Tuncay
26 Kirsch, Andreas
26 Kress, Rainer
26 Ramm, Alexander G.
25 Arridge, Simon R.
24 Jin, Bangti
24 Louis, Alfred Karl
24 Monk, Peter B.
24 Siltanen, Samuli
23 Li, Peijun
23 Uhlmann, Gunther Alberto
23 Zou, Jun
22 Piana, Michele
22 Rundell, William
21 Hu, Guanghui
20 Calvetti, Daniela
20 Hohage, Thorsten
20 Isakov, Victor M.
20 Lesselier, Dominique
20 Novikov, Roman G.
20 Seo, Jin Keun
19 Fokas, Athanassios S.
19 Haltmeier, Markus
19 Jin, Qinian
19 Lassas, Matti J.
19 Liu, Hongyu
19 Schuster, Thomas
18 Boccacci, Patrizia
18 Cheng, Jin
18 de Hoop, Maarten V.
18 Garnier, Josselin
18 Liu, Xiaodong
18 Potthast, Roland W. E.
18 Zhang, Bo
17 Bao, Gang
17 Boiti, Marco
17 Haber, Eldad
17 Hyvönen, Nuutti
17 Kunyansky, Leonid A.
17 Lionheart, William Robert Breckon
17 Pempinelli, Flora
17 Pike, E. R.
16 El Badia, Abdellatif
15 Defrise, Michel
15 Katsevich, Alexander I.
15 McLaughlin, Joyce Rogers
15 Sabatier, Pierre C.
15 Schönlieb, Carola-Bibiane
15 Tsogka, Chrysoula
14 Đinh Nho Hào
14 Dorn, Oliver
14 Grünbaum, Francisco Alberto
14 Han, Bo
14 Imanuvilov, Oleg Yu.
14 Kang, Hyeonbae
14 Leitão, Antonio
14 Maass, Peter
14 Schotland, John C.
14 Shen, Chao-Liang
14 Sun, Jiguang
14 Symes, William W.
14 Yagle, Andrew E.
13 Akduman, Ibrahim
13 Engl, Heinz W.
13 Harrach, Bastian
13 Kolehmainen, Ville
13 Lechleiter, Armin
13 Pereverzev, Sergei V.
13 Stefanov, Plamen D.
13 Stuart, Andrew M.
13 van den Berg, Peter M.
12 Abubakar, Aria
12 Bellassoued, Mourad
12 Borden, Brett
12 Fannjiang, Albert C.
12 Hasanoǧlu, Alemdar
12 Herman, Gabor T.
12 Hettlich, Frank
12 Mathé, Peter
12 Palamodov, Victor Pavlovitch
12 Rieder, Andreas
...and 4,679 more Authors
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Fields

2,456 Partial differential equations (35-XX)
1,824 Numerical analysis (65-XX)
854 Optics, electromagnetic theory (78-XX)
588 Biology and other natural sciences (92-XX)
371 Information and communication theory, circuits (94-XX)
351 Operator theory (47-XX)
329 Integral transforms, operational calculus (44-XX)
301 Statistics (62-XX)
269 Geophysics (86-XX)
268 Fluid mechanics (76-XX)
263 Mechanics of deformable solids (74-XX)
261 Ordinary differential equations (34-XX)
232 Integral equations (45-XX)
199 Dynamical systems and ergodic theory (37-XX)
189 Calculus of variations and optimal control; optimization (49-XX)
164 Operations research, mathematical programming (90-XX)
152 Computer science (68-XX)
137 Quantum theory (81-XX)
91 Probability theory and stochastic processes (60-XX)
83 Harmonic analysis on Euclidean spaces (42-XX)
81 Systems theory; control (93-XX)
69 Global analysis, analysis on manifolds (58-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
49 Statistical mechanics, structure of matter (82-XX)
48 Differential geometry (53-XX)
43 Classical thermodynamics, heat transfer (80-XX)
41 Astronomy and astrophysics (85-XX)
38 Potential theory (31-XX)
33 Mechanics of particles and systems (70-XX)
30 Functional analysis (46-XX)
28 Functions of a complex variable (30-XX)
25 Difference and functional equations (39-XX)
23 Special functions (33-XX)
21 General and overarching topics; collections (00-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Approximations and expansions (41-XX)
12 Real functions (26-XX)
11 Relativity and gravitational theory (83-XX)
10 Abstract harmonic analysis (43-XX)
8 Combinatorics (05-XX)
6 Algebraic topology (55-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Sequences, series, summability (40-XX)
4 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Geometry (51-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

Citations contained in zbMATH Open

3,688 Publications have been cited 43,239 times in 16,480 Documents Cited by Year
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
642
2004
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
520
2002
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
369
2005
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
284
2006
Optical tomography in medical imaging. Zbl 0926.35155
Arridge, S. R.
256
1999
The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047
Yang, Qingzhi
245
2004
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
239
2010
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
215
2006
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
192
1994
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
187
1989
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
179
1996
A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
178
2005
The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185
Moudafi, A.
166
2010
Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
158
2012
Inverse problems and Carleman estimates. Zbl 0755.35151
Klibanov, Michael V.
144
1992
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322
Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro
140
2009
Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339
Uhlmann, G.
138
2009
Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090
Lundmark, Hans; Szmigielski, Jacek
137
2003
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046
Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O.
131
2007
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
130
1997
Electrical impedance tomography. Zbl 1031.35147
Borcea, Liliana
127
2002
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
126
2009
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
125
1998
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
125
1999
Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040
Mathé, Peter; Pereverzev, Sergei V.
124
2003
Carleman estimates for parabolic equations and applications. Zbl 1194.35512
Yamamoto, Masahiro
117
2009
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
112
2015
Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110
Imanuvilov, Oleg Yu; Yamamoto, Masahiro
104
1998
Inverse problems in elasticity. Zbl 1070.35118
Bonnet, Marc; Constantinescu, Andrei
102
2005
Several solution methods for the split feasibility problem. Zbl 1080.65035
Zhao, Jinling; Yang, Qingzhi
102
2005
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
100
2004
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
99
1987
Sparsity and incoherence in compressive sampling. Zbl 1120.94005
Candès, Emmanuel; Romberg, Justin
96
2007
Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110
Mandache, Niculae
94
2001
Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036
Gandy, Silvia; Recht, Benjamin; Yamada, Isao
93
2011
Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004
Chartrand, Rick; Staneva, Valentina
92
2008
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
89
1998
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
85
2003
Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction. Zbl 0916.35132
Cedio-Fengya, D. J.; Moskow, S.; Vogelius, M. S.
85
1998
Inverse source problem for a fractional diffusion equation. Zbl 1211.35280
Zhang, Ying; Xu, Xiang
84
2011
Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
83
2001
The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065
Dang, Yazheng; Gao, Yan
82
2011
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
82
2009
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
81
2001
Analysis versus synthesis in signal priors. Zbl 1138.93055
Elad, Michael; Milanfar, Peyman; Rubinstein, Ron
80
2007
Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060
Moudafi, Abdellatif
79
2007
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
79
1993
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
79
2011
Solutions of inverse nodal problems. Zbl 0667.34020
Hald, Ole H.; McLaughlin, Joyce R.
79
1989
A survey on sampling and probe methods for inverse problems. Zbl 1094.35144
Potthast, Roland
76
2006
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
75
2003
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
75
2012
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
74
1997
Level set methods for inverse scattering. Zbl 1191.35272
Dorn, Oliver; Lesselier, Dominique
72
2006
On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions. Zbl 0617.35119
Boiti, M.; Leon, J. J.-P.; Manna, M.; Pempinelli, F.
72
1986
Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091
Baudouin, Lucie; Puel, Jean-Pierre
72
2002
Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154
Yamamoto, Masahiro
72
1995
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
72
2013
An inverse problem in corrosion detection. Zbl 0882.35133
Inglese, Gabriele
70
1997
Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166
Yamamoto, Masahiro; Zou, Jun
70
2001
A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation. Zbl 0683.65106
Wang, Shingmin; Lin, Yanping
69
1989
Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation. Zbl 1281.65125
Li, Gongsheng; Zhang, Dali; Jia, Xianzheng; Yamamoto, Masahiro
68
2013
Optical tomography: forward and inverse problems. Zbl 1188.35197
Arridge, Simon R.; Schotland, John C.
67
2009
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
67
2005
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
67
2001
One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052
Cheng, J.; Yamamoto, M.
67
2000
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
67
2000
Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084
Andrieux, S.; Baranger, T. N.; Ben Abda, A.
66
2006
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Zbl 0895.35109
Hohage, Thorsten
66
1997
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
66
1997
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
65
2007
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
65
2005
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
65
1996
Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133
Cannon, J. R.; Lin, Yanping; Xu, Shuzhan
64
1994
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
64
1999
Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009
Yurko, V.
63
2005
Nonparametric statistical inverse problems. Zbl 1137.62323
Cavalier, L.
63
2008
A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011
Bonettini, S.; Zanella, R.; Zanni, L.
63
2009
An inverse source problem in potential analysis. Zbl 0963.35194
El Badia, A.; Ha-Duong, T.
63
2000
Linear spectral problems, nonlinear equations and the \({\bar \partial}\)- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
63
1989
Generalized KM theorems and their applications. Zbl 1117.65081
Yang, Qingzhi; Zhao, Jinling
62
2006
Explicit inversion formulae for the spherical mean Radon transform. Zbl 1127.44003
Kunyansky, Leonid A.
62
2007
An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Zbl 1153.46308
Schöpfer, F.; Schuster, T.; Louis, A. K.
62
2008
Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087
Calogero, Francesco; Eckhaus, Wiktor
61
1987
Inverse scattering problems with multi-frequencies. Zbl 1332.78019
Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi
61
2015
Stable architectures for deep neural networks. Zbl 1426.68236
Haber, Eldad; Ruthotto, Lars
60
2018
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
60
2008
Identification of planar cracks by complete overdetermined data: Inversion formulae. Zbl 0858.35131
Andrieux, Stéphane; Ben Abda, Amel
59
1996
Identification of Robin coefficients by the means of boundary measurements. Zbl 0943.35100
Chaabane, Slim; Jaoua, Mohamed
59
1999
An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem. Zbl 0962.35193
Siltanen, Samuli; Mueller, Jennifer; Isaacson, David
59
2000
Multisoliton solutions of the Degasperis-Procesi equation and their peakon limit. Zbl 1086.35095
Matsuno, Yoshimasa
58
2005
Numerical identification of parameters in parabolic systems. Zbl 0894.35127
Keung, Yee Lo; Zou, Jun
58
1998
A primal-dual fixed point algorithm for convex separable minimization with applications to image restoration. Zbl 1279.65075
Chen, Peijun; Huang, Jianguo; Zhang, Xiaoqun
58
2013
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Zbl 1180.35563
Hristova, Yulia; Kuchment, Peter; Nguyen, Linh
58
2008
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
57
1994
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
57
2010
On a global estimate in a linear inverse hyperbolic problem. Zbl 0862.35141
Puel, Jean-Pierre; Yamamoto, Masahiro
57
1996
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
57
2013
On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058
Tautenhahn, U.
56
2002
Solution of inverse problems in elasticity imaging using the adjoint method. Zbl 1171.35490
Oberai, Assad A.; Gokhale, Nachiket H.; Feijóo, Gonzalo R.
55
2003
\(\Gamma\)-convergence of Onsager-Machlup functionals. I: With applications to maximum a posteriori estimation in Bayesian inverse problems. Zbl 07455594
Ayanbayev, Birzhan; Klebanov, Ilja; Lie, Han Cheng; Sullivan, T. J.
1
2022
\(\Gamma\)-convergence of Onsager-Machlup functionals. II: Infinite product measures on Banach spaces. Zbl 07455595
Ayanbayev, Birzhan; Klebanov, Ilja; Lie, Han Cheng; Sullivan, T. J.
1
2022
An asymptotical regularization with convex constraints for inverse problems. Zbl 07489717
Zhong, Min; Wang, Wei; Tong, Shanshan
1
2022
Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium. Zbl 1486.35477
Yang, Jiaqing; Li, Jianliang; Zhang, Bo
1
2022
Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography. Zbl 07525933
Webber, James W.; Quinto, Eric Todd
1
2022
Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems. Zbl 1487.49045
Cen, Jinxia; Khan, Akhtar A.; Motreanu, Dumitru; Zeng, Shengda
1
2022
Minimizing \(L_1\) over \(L_2\) norms on the gradient. Zbl 1487.94031
Wang, Chao; Tao, Min; Chuah, Chen-Nee; Nagy, James; Lou, Yifei
1
2022
On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355
Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei
5
2021
Recovery of coefficients for a weighted \(p\)-Laplacian perturbed by a linear second order term. Zbl 1460.35386
Cârstea, Cătălin I.; Kar, Manas
4
2021
Monotonicity principle in tomography of nonlinear conducting materials. Zbl 1462.78012
Corbo Esposito, Antonio; Faella, Luisa; Piscitelli, Gianpaolo; Prakash, Ravi; Tamburrino, Antonello
4
2021
Recovering a quasilinear conductivity from boundary measurements. Zbl 1457.65172
Shankar, Ravi
3
2021
Adaptive regularisation for ensemble Kalman inversion. Zbl 1456.65095
Iglesias, Marco; Yang, Yuchen
3
2021
A projected Bouligand-Landweber iteration for non-smooth ill-posed problems. Zbl 07323231
Fu, Zhenwu; Chen, Yong; Han, Bo
3
2021
Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192
Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun
3
2021
Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review. Zbl 1461.62129
Alexanderian, Alen
3
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Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
3
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Shape reconstruction in linear elasticity: standard and linearized monotonicity method. Zbl 1461.74022
Eberle, Sarah; Harrach, Bastian
3
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A deterministic-statistical approach to reconstruct moving sources using sparse partial data. Zbl 1466.35369
Liu, Yanfang; Guo, Yukun; Sun, Jiguang
3
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On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286
Diao, Huaian; Liu, Hongyu; Sun, Baiyi
3
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A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids. Zbl 1480.35329
Kumar, Pardeep; Kinra, Kush; Mohan, Manil T.
2
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The maximum entropy on the mean method for image deblurring. Zbl 07310613
Rioux, Gabriel; Choksi, Rustum; Hoheisel, Tim; Maréchal, Pierre; Scarvelis, Christopher
2
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On a three-dimensional Compton scattering tomography system with fixed source. Zbl 1461.94004
Cebeiro, J.; Tarpau, C.; Morvidone, M. A.; Rubio, D.; Nguyen, M. K.
2
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Laboratory application of sampling approaches to inverse scattering. Zbl 1466.62451
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2
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Reconstruction of multipolar point sources with multi-frequency sparse far field data. Zbl 1466.35367
Ji, Xia
2
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Optimal-order convergence of Nesterov acceleration for linear ill-posed problems. Zbl 07357681
Kindermann, Stefan
2
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3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction. Zbl 1466.35372
Rigaud, Gaël
2
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Structure analysis of direct sampling method in 3D electromagnetic inverse problem: near- and far-field configuration. Zbl 07362505
Kang, Sangwoo; Lambert, Marc
2
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Unique recovery of unknown spatial load in damped Euler-Bernoulli beam equation from final time measured output. Zbl 1467.74036
Hasanov, Alemdar; Romanov, Vladimir; Baysal, Onur
2
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Stabilizing invertible neural networks using mixture models. Zbl 07375643
Hagemann, Paul; Neumayer, Sebastian
2
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Oversmoothing Tikhonov regularization in Banach spaces. Zbl 1483.65086
Chen, De-Han; Hofmann, Bernd; Yousept, Irwin
2
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An inverse problem for generalized Kelvin-Voigt equation with \(p\)-Laplacian and damping term. Zbl 1480.35321
Antontsev, S. N.; Khompysh, K.
1
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Adaptive multilevel iteration methods for solving ill-posed integral equations via a coupled system. Zbl 1483.65088
Zhang, Rong; Luo, Xingjun; Hu, Wenyu; Zhou, Duanmei
1
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Uniqueness in determining fractional orders of derivatives and initial values. Zbl 1478.35227
Yamamoto, M.
1
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Error analysis for filtered back projection reconstructions in Besov spaces. Zbl 1458.94013
Beckmann, M.; Maass, P.; Nickel, J.
1
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Stability estimates for the relativistic Schrödinger equation from partial boundary data. Zbl 1483.35344
Senapati, Soumen
1
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X-ray transform on Sobolev spaces. Zbl 1465.44004
Sharafutdinov, Vladimir A.
1
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A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940
Kravchenko, Vladislav V.; Torba, Sergii M.
1
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Unique determination for an inverse problem from the vortex dynamics. Zbl 1462.34041
Lai, Ru-Yu; Zhou, Hanming
1
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The interior inverse electromagnetic scattering for an inhomogeneous cavity. Zbl 1457.78012
Zeng, Fang; Meng, Shixu
1
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A distributed resistance inverse method for flow obstacle identification from internal velocity measurements. Zbl 1458.35468
Aguayo, Jorge; Bertoglio, Cristóbal; Osses, Axel
1
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Non-stationary multi-layered Gaussian priors for Bayesian inversion. Zbl 1457.60097
Emzir, Muhammad; Lasanen, Sari; Purisha, Zenith; Roininen, Lassi; Särkkä, Simo
1
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Ultrasound modulated bioluminescence tomography with a single optical measurement. Zbl 1458.35420
Chung, Francis; Yang, Tianyu; Yang, Yang
1
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Deep synthesis network for regularizing inverse problems. Zbl 07310609
Obmann, Daniel; Schwab, Johannes; Haltmeier, Markus
1
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An inverse potential problem for subdiffusion: stability and reconstruction. Zbl 1458.35477
Jin, Bangti; Zhou, Zhi
1
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Tikhonov regularization for polynomial approximation problems in Gauss quadrature points. Zbl 1461.65010
An, Congpei; Wu, Hao-Ning
1
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An inverse random source problem for the one-dimensional Helmholtz equation with attenuation. Zbl 1458.35481
Li, Peijun; Wang, Xu
1
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Inverse initial boundary value problem for a non-linear hyperbolic partial differential equation. Zbl 1457.58016
Nakamura, Gen; Vashisth, Manmohan; Watanabe, Michiyuki
1
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Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography. Zbl 1460.78011
Gupta, Madhu; Kumar Mishra, Rohit; Roy, Souvik
1
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Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. Zbl 1475.35432
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang
1
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A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations. Zbl 07323241
Filippozzi, R.; Rabelo, J. C.; Boiger, R.; Leitão, A.
1
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Data-free likelihood-informed dimension reduction of Bayesian inverse problems. Zbl 1464.62239
Cui, Tiangang; Zahm, Olivier
1
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Regularisation, optimisation, subregularity. Zbl 07335387
Valkonen, T.
1
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Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation. Zbl 1462.35469
Sun, L. L.; Li, Y. S.; Zhang, Y.
1
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Phaseless inverse scattering with background information. Zbl 1473.35140
Novikov, R. G.; Sivkin, V. N.
1
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Reconstruction of sources from time domain scattered waves at sparse sensors. Zbl 1467.35351
Ji, Xia
1
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A new interpretation of (Tikhonov) regularization. Zbl 07357684
Gerth, Daniel
1
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Convergence of proximal gradient algorithm in the presence of adjoint mismatch. Zbl 1466.94004
Chouzenoux, Emilie; Pesquet, Jean-Christophe; Riddell, Cyril; Savanier, Marion; Trousset, Yves
1
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Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems. Zbl 07362502
Druskin, V.; Moskow, S.; Zaslavsky, M.
1
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Sequentially optimized projections in x-ray imaging. Zbl 1467.62185
Burger, M.; Hauptmann, A.; Helin, T.; Hyvönen, N.; Puska, J-P
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A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems. Zbl 07362507
Gao, Guangyu; Han, Bo; Tong, Shanshan
1
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Convergence analyses based on frequency decomposition for the randomized row iterative method. Zbl 1481.65053
Wu, Nian-Ci; Xiang, Hua
1
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Feature augmentation for the inversion of the Fourier transform with limited data. Zbl 07393225
Perracchione, Emma; Massone, Anna Maria; Piana, Michele
1
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Numerical conductivity reconstruction from partial interior current density information in three dimensions. Zbl 1472.35461
Yazdanian, Hassan; Knudsen, Kim
1
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An accelerated homotopy perturbation iteration for nonlinear ill-posed problems in Banach spaces with uniformly convex penalty. Zbl 1481.65086
Xia, Yuxin; Han, Bo; Fu, Zhenwu
1
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Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source. Zbl 1472.35452
Jin, Bangti; Zhou, Zhi
1
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Identifying source term in the subdiffusion equation with \(L^2\)-TV regularization. Zbl 07393232
Fan, Bin; Xu, Chuanju
1
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Projection methods for high numerical aperture phase retrieval. Zbl 1480.65142
Hieu Thao, Nguyen; Soloviev, Oleg; Luke, Russell; Verhaegen, Michel
1
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Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems. Zbl 1433.35462
Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda
23
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NETT: solving inverse problems with deep neural networks. Zbl 1456.65038
Li, Housen; Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus
17
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Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262
Blåsten, Emilia; Liu, Hongyu
15
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The sliding Frank-Wolfe algorithm and its application to super-resolution microscopy. Zbl 1434.65082
Denoyelle, Quentin; Duval, Vincent; Peyré, Gabriel; Soubies, Emmanuel
13
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Convexification and experimental data for a 3D inverse scattering problem with the moving point source. Zbl 1446.35265
Khoa, Vo Anh; Bidney, Grant W.; Klibanov, Michael V.; Nguyen, Loc H.; Nguyen, Lam H.; Sullivan, Anders J.; Astratov, Vasily N.
11
2020
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
9
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Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334
Liu, Hongyu; Tsou, Chun-Hsiang
9
2020
Uniqueness in inverse cavity scattering problems with phaseless near-field data. Zbl 1460.35246
Zhang, Deyue; Wang, Yinglin; Guo, Yukun; Li, Jingzhi
8
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An inverse acoustic-elastic interaction problem with phased or phaseless far-field data. Zbl 1437.35702
Dong, Heping; Lai, Jun; Li, Peijun
8
2020
Convergence analysis of (statistical) inverse problems under conditional stability estimates. Zbl 1485.65059
Werner, Frank; Hofmann, Bernd
7
2020
Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365
Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander
7
2020
On a regularization approach to the inverse transmission eigenvalue problem. Zbl 1454.34036
Buterin, S. A.; Choque-Rivero, A. E.; Kuznetsova, M. A.
7
2020
Stability for inverse source problems by Carleman estimates. Zbl 1459.35393
Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M.
7
2020
Compton scattering tomography in translational geometries. Zbl 1466.44002
Webber, James; Miller, Eric L.
6
2020
Fast acoustic source imaging using multi-frequency sparse data. Zbl 1448.35566
Alzaalig, Ala; Hu, Guanghui; Liu, Xiaodong; Sun, Jiguang
6
2020
Half-inverse Sturm-Liouville problem on a time scale. Zbl 1433.93084
Ozkan, A. Sinan; Adalar, İbrahim
6
2020
Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media. Zbl 1436.35328
Wei, Zhaoying; Wei, Guangsheng
6
2020
Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems. Zbl 1487.65060
Chen, De-Han; Jiang, Daijun; Zou, Jun
6
2020
The Calderón problem for the fractional magnetic operator. Zbl 1443.35194
Li, Li
6
2020
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. Zbl 1443.62213
Koval, Karina; Alexanderian, Alen; Stadler, Georg
6
2020
Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem. Zbl 1445.35330
Giordano, Matteo; Nickl, Richard
6
2020
On the inverse spectral stability for the transmission eigenvalue problem with finite data. Zbl 1470.34054
Xu, Xiao-Chuan; Yang, Chuan-Fu
6
2020
\(\ell_1-\alpha\ell_2\) minimization methods for signal and image reconstruction with impulsive noise removal. Zbl 1468.94021
Li, Peng; Chen, Wengu; Ge, Huanmin; Ng, Michael K.
6
2020
A denoising model adapted for impulse and Gaussian noises using a constrained-PDE. Zbl 07161822
Afraites, L.; Hadri, A.; Laghrib, A.
5
2020
The bound-state soliton solutions of the complex modified KdV equation. Zbl 1447.35290
Zhang, Yongshuai; Tao, Xiangxing; Xu, Shuwei
5
2020
Continuous limits for constrained ensemble Kalman filter. Zbl 1458.65063
Herty, Michael; Visconti, Giuseppe
5
2020
Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves. Zbl 1471.65122
Chen, Bo; Guo, Yukun; Ma, Fuming; Sun, Yao
5
2020
A revisit on Landweber iteration. Zbl 1460.65062
Real, Rommel; Jin, Qinian
5
2020
Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072
Buccini, A.; Pasha, M.; Reichel, L.
5
2020
Monotonicity in inverse obstacle scattering on unbounded domains. Zbl 1458.35469
Albicker, Annalena; Griesmaier, Roland
5
2020
Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography. Zbl 1485.65064
Beigl, Alexander; Scherzer, Otmar; Sogn, Jarle; Zulehner, Walter
4
2020
A new temporal control approach for SCAO systems. Zbl 1440.93131
Pöttinger, Markus; Ramlau, Ronny; Auzinger, Günter
4
2020
Persistent homology detects curvature. Zbl 07161824
Bubenik, Peter; Hull, Michael; Patel, Dhruv; Whittle, Benjamin
4
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139 Yamamoto, Masahiro
83 Uhlmann, Gunther Alberto
80 Nguyen Huy Tuan
78 Fu, Chuli
78 Klibanov, Michael V.
76 Lesnic, Daniel
74 Ammari, Habib M.
72 Yang, Chuanfu
63 Yurko, Vjacheslav Anatoljevich
61 Liu, Hongyu
61 Scherzer, Otmar
60 Ma, Wen-Xiu
59 Dehghan Takht Fooladi, Mehdi
59 Hofmann, Bernd
59 Yao, Jen-Chih
58 Lassas, Matti J.
56 Yao, Yonghong
54 Xiong, Xiangtuan
53 Liu, Jijun
53 Yin, Zhaoyang
52 Kaltenbacher, Barbara
52 Ramm, Alexander G.
52 Wei, Ting
50 Ceng, Lu-Chuan
49 Li, Peijun
47 Hu, Guanghui
46 Zou, Jun
45 de Hoop, Maarten V.
45 Han, Bo
45 Jin, Bangti
45 Liou, Yeongcheng
45 Shehu, Yekini
44 Fan, Engui
44 Nakamura, Gen
43 Banks, Harvey Thomas
43 Geng, Xianguo
42 Bellassoued, Mourad
42 Kumam, Poom
41 Hasanoǧlu, Alemdar
40 Cakoni, Fioralba
40 Kian, Yavar
40 Stuart, Andrew M.
39 Bondarenko, Natalia P.
39 Garnier, Josselin
39 Salo, Mikko
38 Haddar, Houssem
38 Marin, Liviu
37 Bao, Gang
37 Fokas, Athanassios S.
37 Kress, Rainer
37 Reichel, Lothar
37 Yang, Fan
36 Bal, Guillaume
36 Lu, Shuai
36 Pereverzev, Sergei V.
36 Ramlau, Ronny
36 Sakhnovich, Alexander L.
35 Chang, Shih-Sen
35 Mathé, Peter
35 Oksanen, Lauri
34 Liu, Chein-Shan
34 Yan, Guozheng
33 Burger, Martin
33 Choulli, Mourad
33 Hyvönen, Nuutti
33 Kang, Hyeonbae
33 Kunisch, Karl
33 Mewomo, Oluwatosin Temitope
33 Park, Won-Kwang
33 Van der Mee, Cornelis Victor Maria
33 Vessella, Sergio
32 Cheng, Jin
32 George, Santhosh
32 Haltmeier, Markus
32 Hon, Yiu-Chung
32 Huang, Ting-Zhu
32 Novikov, Roman G.
32 Wei, Guangsheng
32 Wen, Chingfeng
31 Cholamjiak, Prasit
31 Li, Jingzhi
31 Sini, Mourad
31 Stefanov, Plamen D.
30 Ma, Fuming
30 Novotny, Antonio André
30 Wang, Jenn-Nan
29 Censor, Yair
29 He, Jingsong
29 Jin, Qinian
29 Korotyaev, Evgeny L.
29 Li, Xiaoxiao
29 Romanov, Vladimir Gavrilovich
29 Sun, Jiguang
29 Trong, Dang Duc
29 Xu, Hong-Kun
28 Belishev, Mikhail Igorevitch
28 Borcea, Liliana
28 Buterin, Sergey Alexandrovich
28 Cho, Yeol Je
28 Harrach, Bastian
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732 Inverse Problems
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467 Journal of Mathematical Physics
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56 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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35 Mathematical Programming. Series A. Series B
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