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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/ipi
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 890 Publications (since 2007)
References Indexed: 553 Publications with 19,473 References.
all top 5

Authors

16 Siltanen, Samuli
13 Osher, Stanley Joel
13 Tai, Xuecheng
11 Bal, Guillaume
11 Cakoni, Fioralba
10 Lassas, Matti J.
10 Uhlmann, Gunther Alberto
9 Haddar, Houssem
9 Kaipio, Jari P.
9 Scherzer, Otmar
9 Wang, Jenn-Nan
9 Yamamoto, Masahiro
9 Zeng, Tie Yong
8 Bourgeois, Laurent
8 Hyvönen, Nuutti
8 Ikehata, Masaru
8 Kaltenbacher, Barbara
8 Li, Peijun
8 Ng, Michael Kwok-Po
8 Stefanov, Plamen D.
7 Avdonin, Sergeĭ Anatol’evich
7 Chan, Raymond Hon-Fu
7 Chan, Tony Fan-Cheong
7 Chen, Yunmei
7 Hu, Guanghui
7 Isakov, Victor M.
7 Klibanov, Michael V.
7 Kolehmainen, Ville
7 Liu, Hongyu
7 Nakamura, Gen
7 Salo, Mikko
7 Sini, Mourad
6 Dardé, Jérémi
6 Lehtinen, Markku S.
6 Monard, François
6 Mueller, Jennifer L.
6 Ramlau, Ronny
6 Serov, Valery S.
6 Somersalo, Erkki
6 Vese, Luminita A.
6 Zhang, Xiaoqun
6 Zhu, Wei
6 Zou, Jun
5 Cai, Jian-Feng
5 Calvetti, Daniela
5 Chen, Ke
5 Gaburro, Romina
5 Grasmair, Markus
5 Guo, Weihong
5 Guo, Zhichang
5 Kian, Yavar
5 Knudsen, Kim M.
5 Krishnan, Venkateswaran P.
5 Lasanen, Sari
5 Leitão, Antonio
5 Lin, Yi-Hsuan
5 Monk, Peter B.
5 Nolan, Clifford J.
5 Pang, Zhifeng
5 Piiroinen, Petteri
5 Quinto, Eric Todd
5 Roininen, Lassi
5 Rundell, William
5 Sincich, Eva
5 Tamasan, Alexandru
5 Tyni, Teemu
5 Yang, Jiaqing
4 Arridge, Simon R.
4 Assylbekov, Yernat M.
4 Beretta, Elena
4 Boman, Jan
4 Burger, Martin
4 Chapko, Roman
4 Duan, Yuping
4 Garnier, Josselin
4 Guo, Yukun
4 Hamilton, Sarah Jane
4 Hauptmann, Andreas S.
4 Holman, Sean F.
4 Huttunen, Janne M. J.
4 Jiang, Daijun
4 Kirsch, Andreas
4 Kress, Rainer
4 Kuchment, Peter A.
4 Lai, Ru-Yu
4 Lechleiter, Armin
4 Li, Jingzhi
4 Li, Song
4 Liu, Jun
4 Lou, Yifei
4 Lu, Shuai
4 Lui, Lok Ming
4 Neubauer, Andreas
4 Nguyen, Dinh Liem
4 Nguyen, Loc Hoang
4 Nikolova, Mila
4 Päivärinta, Lassi
4 Piana, Michele
4 Qian, Jianliang
4 Qin, Jing
...and 1,360 more Authors
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Fields

458 Partial differential equations (35-XX)
408 Numerical analysis (65-XX)
184 Information and communication theory, circuits (94-XX)
146 Computer science (68-XX)
138 Optics, electromagnetic theory (78-XX)
93 Biology and other natural sciences (92-XX)
89 Calculus of variations and optimal control; optimization (49-XX)
70 Statistics (62-XX)
61 Integral transforms, operational calculus (44-XX)
56 Operator theory (47-XX)
52 Operations research, mathematical programming (90-XX)
48 Mechanics of deformable solids (74-XX)
39 Differential geometry (53-XX)
35 Integral equations (45-XX)
31 Geophysics (86-XX)
26 Ordinary differential equations (34-XX)
25 Probability theory and stochastic processes (60-XX)
24 Quantum theory (81-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
23 Fluid mechanics (76-XX)
21 Potential theory (31-XX)
21 Global analysis, analysis on manifolds (58-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
19 Functional analysis (46-XX)
16 Systems theory; control (93-XX)
12 Functions of a complex variable (30-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 General and overarching topics; collections (00-XX)
8 Real functions (26-XX)
7 Astronomy and astrophysics (85-XX)
6 Combinatorics (05-XX)
6 Special functions (33-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Convex and discrete geometry (52-XX)
4 Difference and functional equations (39-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Mathematics education (97-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of particles and systems (70-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 Geometry (51-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

692 Publications have been cited 5,507 times in 3,639 Documents Cited by Year
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
77
2007
Discretization-invariant Bayesian inversion and Besov space priors. Zbl 1191.62046
Lassas, Matti; Saksman, Eero; Siltanen, Samuli
58
2009
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
Isakov, Victor
57
2007
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
57
2008
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
Wu, Chunlin; Zhang, Juyong; Tai, Xue-Cheng
54
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
53
2014
Regularized D-bar method for the inverse conductivity problem. Zbl 1184.35314
Knudsen, Kim; Lassas, Matti; Mueller, Jennifer L.; Siltanen, Samuli
53
2009
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
51
2013
Equilibrium measures and capacities in spectral theory. Zbl 1149.31004
Simon, Barry
51
2007
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
49
2010
Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021
Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun
47
2015
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
46
2008
On the existence of transmission eigenvalues. Zbl 1186.35122
Kirsch, Andreas
45
2009
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Zbl 1194.35502
Ivanyshyn, Olha
45
2007
A family of inversion formulas in thermoacoustic tomography. Zbl 1183.92054
Nguyen, Linh Viet
44
2009
Photo-acoustic inversion in convex domains. Zbl 1244.35080
Natterer, Frank
44
2012
Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane
43
2013
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization. Zbl 1165.47009
Kindermann, Stefan; Neubauer, Andreas
41
2008
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
41
2012
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
40
2007
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
40
2013
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
39
2007
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Zbl 1250.58012
Bellassoued, Mourad; Dos Santos Ferreira, David
38
2011
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
38
2010
Non-local regularization of inverse problems. Zbl 1223.68116
Peyré, Gabriel; Bougleux, Sébastien; Cohen, Laurent
38
2011
Two-phase approach for deblurring images corrupted by impulse plus Gaussian noise. Zbl 1154.94306
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
37
2008
Localized potentials in electrical impedance tomography. Zbl 1154.35464
Gebauer, Bastian
37
2008
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
36
2019
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
35
2007
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
34
2013
A direct sampling method for inverse scattering using far-field data. Zbl 1273.35319
Li, Jingzhi; Zou, Jun
33
2013
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
32
2017
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
31
2013
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
Cakoni, Fioralba; Haddar, Houssem
31
2007
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
29
2007
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
Li, Peijun; Yuan, Ganghua
28
2017
A Rellich type theorem for discrete Schrödinger operators. Zbl 1322.47033
Isozaki, Hiroshi; Morioka, Hisashi
28
2014
The factorization method applied to cracks with impedance boundary conditions. Zbl 1302.35430
Boukari, Yosra; Haddar, Houssem
27
2013
Non-Gaussian statistical inverse problems. Part I: Posterior distributions. Zbl 1263.62041
Lasanen, Sari
27
2012
A quasi-reversibility approach to solve the inverse obstacle problem. Zbl 1200.35318
Bourgeois, Laurent; Dardé, Jérémi
26
2010
Restoration of manifold-valued images by half-quadratic minimization. Zbl 1348.65097
Bergmann, Ronny; Chan, Raymond; Hielscher, Ralf; Persch, Johannes; Steidl, Gabriele
25
2016
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
25
2017
Coordinate descent optimization for \(l^{1}\) minimization with application to compressed sensing; a greedy algorithm. Zbl 1188.90196
Li, Yingying; Osher, Stanley
25
2009
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
25
2007
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
25
2013
Inverse problems for Einstein manifolds. Zbl 1229.58025
Guillarmou, Colin; Sá Barreto, Antônio
24
2009
A decomposition method for an interior inverse scattering problem. Zbl 1273.78012
Zeng, Fang; Suarez, Pablo; Sun, Jiguang
24
2013
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
23
2016
Determining nonsmooth first order terms from partial boundary measurements. Zbl 1122.35152
Knudsen, Kim; Salo, Mikko
23
2007
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
Daon, Yair; Stadler, Georg
23
2018
Stability of Calderón’s inverse conductivity problem in the plane for discontinuous conductivities. Zbl 1202.35346
Clop, Albert; Faraco, Daniel; Ruiz, Alberto
23
2010
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
23
2010
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
23
2012
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
22
2019
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
22
2015
Stability estimates in stationary inverse transport. Zbl 1168.35446
Bal, Guillaume; Jollivet, Alexandre
22
2008
Iterative time-reversal control for inverse problems. Zbl 1141.35468
Bingham, Kenrick; Kurylev, Yaroslav; Lassas, Matti; Siltanen, Samuli
22
2008
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
21
2019
Inverse problems with partial data in a slab. Zbl 1200.35331
Li, Xiaosheng; Uhlmann, Gunther
21
2010
Simultaneous determination of the diffusion and absorption coefficient from boundary data. Zbl 1261.35153
Harrach, Bastian
21
2012
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems. Zbl 1515.35338
Dardé, Jérémi
20
2016
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.
20
2007
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
20
2010
A TV Bregman iterative model of Retinex theory. Zbl 1261.68153
Ma, Wenye; Osher, Stanley
20
2012
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
19
2014
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
19
2019
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
19
2010
Detecting small low emission radiating sources. Zbl 1266.82083
Allmaras, Moritz; Darrow, David; Hristova, Yulia; Kanschat, Guido; Kuchment, Peter
19
2013
A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid. Zbl 1266.49076
Caubet, Fabien; Dambrine, Marc; Kateb, Djalil; Timimoun, Chahnaz Zakia
19
2013
Anisotropic total variation regularized \(L^1\) approximation and denoising/deblurring of 2D bar codes. Zbl 1226.49034
Choksi, Rustum; van Gennip, Yves; Oberman, Adam
19
2011
Inverse acoustic obstacle scattering problems using multifrequency measurements. Zbl 1261.35154
Sini, Mourad; Nguyen Trung Thành
19
2012
Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors. Zbl 1368.65085
Sullivan, T. J.
18
2017
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements. Zbl 1304.35762
Beretta, Elena; Francini, Elisa; Vessella, Sergio
18
2014
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 1515.35061
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
18
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.
18
2009
The weighted Doppler transform. Zbl 1198.44001
Holman, Sean; Stefanov, Plamen
18
2010
Non-Gaussian statistical inverse problems. II: Posterior convergence for approximated unknowns. Zbl 1263.62042
Lasanen, Sari
18
2012
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
18
2012
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
17
2016
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
17
2019
Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems. Zbl 1417.78003
Weidling, Frederic; Hohage, Thorsten
17
2017
A study of the one dimensional total generalised variation regularisation problem. Zbl 1336.49044
Papafitsoros, Konstantinos; Bredies, Kristian
17
2015
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
17
2009
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
17
2008
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
17
2010
Momentum ray transforms. Zbl 1426.44002
Krishnan, Venkateswaran P.; Manna, Ramesh; Sahoo, Suman Kumar; Sharafutdinov, Vladimir A.
17
2019
Scattering problems for perturbations of the multidimensional biharmonic operator. Zbl 06936142
Tyni, Teemu; Serov, Valery
17
2018
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
17
2013
Inverse obstacle scattering with limited-aperture data. Zbl 1241.65094
Ikehata, Masaru; Niemi, Esa; Siltanen, Samuli
17
2012
Reconstructing a function on the sphere from its means along vertical slices. Zbl 1348.65183
Hielscher, Ralf; Quellmalz, Michael
16
2016
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.
16
2019
The “exterior approach” to solve the inverse obstacle problem for the Stokes system. Zbl 1284.35009
Bourgeois, Laurent; Dardé, Jérémi
16
2014
Heat source identification based on \(\ell_1\) constrained minimization. Zbl 1283.49041
Li, Yingying; Osher, Stanley; Tsai, Richard
16
2014
Stability of the determination of a coefficient for wave equations in an infinite waveguide. Zbl 1432.35256
Kian, Yavar
16
2014
An inverse fluid–solid interaction problem. Zbl 1183.65138
Monk, Peter; Selgas, Virginia
16
2009
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
Krishnan, Venkateswaran P.; Stefanov, Plamen
16
2009
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
16
2011
Inverse transport with isotropic sources and angularly averaged measurements. Zbl 1171.65104
Bal, Guillaume; Langmore, Ian; Monard, François
16
2008
The factorization method for an inverse fluid-solid interaction scattering problem. Zbl 1261.35096
Kirsch, Andreas; Ruiz, Albert
16
2012
Efficient tensor tomography in Fan-beam coordinates. Zbl 1348.35324
Monard, François
15
2016
On inverse problems for uncoupled space-time fractional operators involving time-dependent coefficients. Zbl 1514.35466
Li, Li
3
2023
Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data. Zbl 1512.35676
Railo, Jesse; Zimmermann, Philipp
3
2023
Monotonicity in inverse scattering for Maxwell’s equations. Zbl 1512.35650
Albicker, Annalena; Griesmaier, Roland
2
2023
Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion. Zbl 1514.35483
Fan, Wei; Hu, Xindi; Zhu, Shengfeng
1
2023
Corrigendum to: “Duality between range and no-response tests and its application for inverse problems”. Zbl 1510.31003
Lin, Yi-Hsuan; Nakamura, Gen; Potthast, Roland; Wang, Haibing
1
2023
Explainable bilevel optimization: an application to the Helsinki Deblur Challenge. Zbl 1515.94013
Bonettini, Silvia; Franchini, Giorgia; Pezzi, Danilo; Prato, Marco
1
2023
Convex regularization in statistical inverse learning problems. Zbl 07725198
Bubba, Tatiana A.; Burger, Martin; Helin, Tapio; Ratti, Luca
1
2023
A Hadamard fractional total variation-Gaussian (HFTG) prior for Bayesian inverse problems. Zbl 07725200
Wang, Li-Li; Ding, Ming-Hui; Zheng, Guang-Hui
1
2023
Pestov identities and X-ray tomography on manifolds of low regularity. Zbl 07725202
Ilmavirta, Joonas; Kykkänen, Antti
1
2023
Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data. Zbl 1520.35175
Liu, Yanfang; Wu, Zhizhang; Sun, Jiguang; Zhang, Zhiwen
1
2023
Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions. Zbl 1512.35626
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro
1
2023
Data-consistent neural networks for solving nonlinear inverse problems. Zbl 1516.65042
Boink, Yoeri E.; Haltmeier, Markus; Holman, Sean; Schwab, Johannes
1
2023
Approximation of the elastic Dirichlet-to-Neumann map. Zbl 1512.35680
Vodev, Georgi
1
2023
Multi-target detection with rotations. Zbl 1511.94009
Bendory, Tamir; Lan, Ti-Yen; Marshall, Nicholas F.; Rukshin, Iris; Singer, Amit
1
2023
Existence and uniqueness in anisotropic conductivity reconstruction with Faraday’s law. Zbl 1512.35666
Kim, Yong-Jung; Lee, Min-Gi
1
2023
Random tree Besov priors – towards fractal imaging. Zbl 07675905
Kekkonen, Hanne; Lassas, Matti; Saksman, Eero; Siltanen, Samuli
1
2023
The interior inverse scattering problem for a two-layered cavity using the Bayesian method. Zbl 1494.78012
Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu
5
2022
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations. Zbl 1484.35411
Lai, Ru-Yu; Ohm, Laurel
5
2022
On new surface-localized transmission eigenmodes. Zbl 1487.35266
Deng, Youjun; Jiang, Yan; Liu, Hongyu; Zhang, Kai
5
2022
A direct imaging method for the exterior and interior inverse scattering problems. Zbl 1498.78025
Zhang, Deyue; Wu, Yue; Wang, Yinglin; Guo, Yukun
4
2022
An inverse problem for a fractional diffusion equation with fractional power type nonlinearities. Zbl 1487.35450
Li, Li
4
2022
A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification. Zbl 1492.94017
Afraites, Lekbir; Hadri, Aissam; Laghrib, Amine; Nachaoui, Mourad
3
2022
A mathematical perspective on radar interferometry. Zbl 1481.78007
Gilman, Mikhail; Tsynkov, Semyon
3
2022
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data. Zbl 07675880
Klibanov, Michael V.; Thuy T. Le; Loc H. Nguyen; Sullivan, Anders; Lam Nguyen
3
2022
PCA reduced Gaussian mixture models with applications in superresolution. Zbl 1493.62308
Hertrich, Johannes; Nguyen, Dang-Phuong-Lan; Aujol, Jean-Francois; Bernard, Dominique; Berthoumieu, Yannick; Saadaldin, Abdellatif; Steidl, Gabriele
3
2022
Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination. Zbl 1497.35520
Kumar, Pardeep; Mohan, Manil T.
3
2022
Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates. Zbl 1481.35381
Huang, Xinchi; Kawamoto, Atsushi
2
2022
Partial inversion of the 2D attenuated \(X\)-ray transform with data on an arc. Zbl 1493.44003
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru
2
2022
Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation. Zbl 1481.35399
García-Ferrero, María Ángeles; Rüland, Angkana; Zatoń, Wiktoria
2
2022
Small defects reconstruction in waveguides from multifrequency one-side scattering data. Zbl 1484.35404
Bonnetier, Éric; Niclas, Angèle; Seppecher, Laurent; Vial, Grégory
2
2022
Direct sampling methods for isotropic and anisotropic scatterers with point source measurements. Zbl 1497.35515
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Bayesian neural network priors for edge-preserving inversion. Zbl 07584864
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Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary. Zbl 1503.53080
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2
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Source identification problems for abstract semilinear nonlocal differential equations. Zbl 1504.34146
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2
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The domain derivative for semilinear elliptic inverse obstacle problems. Zbl 1494.35185
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A new approach to the inverse discrete transmission eigenvalue problem. Zbl 1495.35207
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A new anisotropic fourth-order diffusion equation model based on image features for image denoising. Zbl 1495.35097
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Inverse boundary value problems for polyharmonic operators with non-smooth coefficients. Zbl 1495.35208
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A variational method for Abel inversion tomography with mixed Poisson-Laplace-Gaussian noise. Zbl 1492.94021
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Quasiconformal model with CNN features for large deformation image registration. Zbl 1492.65051
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A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem. Zbl 1487.65145
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Overcomplete representation in a hierarchical Bayesian framework. Zbl 1493.62134
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Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries. Zbl 1512.35655
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A uniqueness theorem for inverse problems in quasilinear anisotropic media. Zbl 1512.35664
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Linearized inverse Schrödinger potential problem with partial data and its deep neural network inversion. Zbl 1514.35132
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Variational source conditions for inverse Robin and flux problems by partial measurements. Zbl 1484.35406
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Recovering a bounded elastic body by electromagnetic far-field measurements. Zbl 1497.74044
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Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation. Zbl 1497.35517
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Nonconvex regularization for blurred images with Cauchy noise. Zbl 1487.94016
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Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems. Zbl 1471.35327
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On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
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Duality between range and no-response tests and its application for inverse problems. Zbl 1472.31010
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Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies. Zbl 1467.35345
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A new variational approach based on level-set function for convex hull problem with outliers. Zbl 1517.65015
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Bilinear constraint based ADMM for mixed Poisson-Gaussian noise removal. Zbl 1471.65060
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4
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Some application examples of minimization based formulations of inverse problems and their regularization. Zbl 1473.65068
Huynh, Kha Van; Kaltenbacher, Barbara
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Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training. Zbl 1511.68289
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3D electrical impedance tomography reconstructions from simulated electrode data using direct inversion \(\mathbf{t}^{\mathbf{exp}}\) and Calderón methods. Zbl 1481.65211
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Phase retrieval from Fourier measurements with masks. Zbl 1472.94009
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A regularization operator for source identification for elliptic PDEs. Zbl 1471.35329
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik
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Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification. Zbl 1473.35159
Cogar, Samuel
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Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems. Zbl 1520.47029
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Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods. Zbl 1482.65173
Li, Wenbin; Qian, Jianliang
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Tensor train rank minimization with nonlocal self-similarity for tensor completion. Zbl 1467.94004
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Limited-angle CT reconstruction with generalized shrinkage operators as regularizers. Zbl 1481.65092
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Two-dimensional inverse scattering for quasi-linear biharmonic operator. Zbl 1473.35293
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A Bayesian level set method for an inverse medium scattering problem in acoustics. Zbl 1481.65212
Huang, Jiangfeng; Deng, Zhiliang; Xu, Liwei
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A linear sampling method for inverse acoustic scattering by a locally rough interface. Zbl 1472.35457
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A sampling type method in an electromagnetic waveguide. Zbl 1481.35360
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Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications. Zbl 1476.90248
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Leaf peeling method for the wave equation on metric tree graphs. Zbl 1467.35342
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Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption. Zbl 1467.35350
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Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex. Zbl 1471.34057
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The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225
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Nonlocal latent low rank sparse representation for single image super resolution via self-similarity learning. Zbl 07454688
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Image retinex based on the nonconvex TV-type regularization. Zbl 1480.92024
Wang, Yuan; Pang, Zhi-Feng; Duan, Yuping; Chen, Ke
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An adaptive total variational despeckling model based on gray level indicator frame. Zbl 07454692
Zhang, Yu; Li, Songsong; Guo, Zhichang; Wu, Boying
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Global convergence and geometric characterization of slow to fast weight evolution in neural network training for classifying linearly non-separable data. Zbl 1469.90113
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Stochastic greedy algorithms for multiple measurement vectors. Zbl 1516.94014
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A new initialization method based on normed statistical spaces in deep networks. Zbl 1511.68239
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Inbetweening auto-animation via Fokker-Planck dynamics and thresholding. Zbl 1507.68331
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Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion. Zbl 1473.35649
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A note on transmission eigenvalues in electromagnetic scattering theory. Zbl 1479.35849
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Where Bayes tweaks Gauss: conditionally Gaussian priors for stable multi-dipole estimation. Zbl 1473.62097
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Boundary determination of electromagnetic and Lamé parameters with corrupted data. Zbl 1472.35449
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An efficient multi-grid method for TV minimization problems. Zbl 07394001
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Edge detection with mixed noise based on maximum a posteriori approach. Zbl 07394002
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Inverse obstacle scattering for acoustic waves in the time domain. Zbl 1478.78040
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Cauchy problem of non-homogenous stochastic heat equation and application to inverse random source problem. Zbl 1471.35344
Chen, Shuli; Wang, Zewen; Chen, Guolin
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Bragg scattering tomography. Zbl 1480.44005
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An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition. Zbl 1436.34013
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Poisson image denoising based on fractional-order total variation. Zbl 1455.94013
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei
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2020
Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017
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Diffusion generated methods for denoising target-valued images. Zbl 1437.65126
Osting, Braxton; Wang, Dong
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Interactions of semilinear progressing waves in two or more space dimensions. Zbl 1464.35003
Barreto, Antônio Sá
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Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data. Zbl 1447.35389
Smirnov, Alexey; Klibanov, Michael; Nguyen, Loc
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2020
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics. Zbl 1447.65062
Hu, Guanghui; Kian, Yavar
5
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Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation. Zbl 1458.35478
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Cited by 4,283 Authors

50 Uhlmann, Gunther Alberto
39 Lassas, Matti J.
37 Salo, Mikko
36 Klibanov, Michael V.
33 Li, Peijun
32 Hu, Guanghui
30 Tai, Xuecheng
28 Kian, Yavar
28 Nguyen, Loc Hoang
26 Huang, Ting-Zhu
26 Zhang, Bo
25 Haddar, Houssem
25 Haltmeier, Markus
25 Harrach, Bastian
25 Liu, Hongyu
25 Oksanen, Lauri
24 Ng, Michael Kwok-Po
23 Yamamoto, Masahiro
22 Zhao, Xile
21 Avdonin, Sergeĭ Anatol’evich
21 Bellassoued, Mourad
21 Liu, Xiaodong
20 Cakoni, Fioralba
20 de Hoop, Maarten V.
20 Nguyen, Dinh Liem
20 Siltanen, Samuli
20 Stefanov, Plamen D.
20 Sun, Jiguang
20 Zeng, Tie Yong
19 Hyvönen, Nuutti
19 Scherzer, Otmar
19 Yan, Guozheng
18 Johansson, B. Tomas
18 Lesnic, Daniel
18 Lin, Yi-Hsuan
18 Lu, Shuai
18 Moon, Sunghwan
18 Park, Won-Kwang
18 Romanov, Vladimir Gavrilovich
18 Schönlieb, Carola-Bibiane
17 Dong, Bin
17 Ikehata, Masaru
17 Kaltenbacher, Barbara
17 Li, Jingzhi
16 Chapko, Roman
16 Guo, Yukun
16 Kaipio, Jari P.
16 Monard, François
16 Osher, Stanley Joel
16 Ramlau, Ronny
16 Shen, Zuowei
16 Stuart, Andrew M.
15 Bao, Gang
15 Ilmavirta, Joonas
15 Isakov, Victor M.
15 Krishnan, Venkateswaran P.
15 Quinto, Eric Todd
15 Sini, Mourad
15 Wu, Chunlin
15 Yang, Chuanfu
15 Yang, Jiaqing
15 Zhang, Haiwen
15 Zou, Jun
14 Bourgeois, Laurent
14 Chen, Ke
14 Duan, Yuping
14 Hofmann, Bernd
14 Lui, Lok Ming
14 Yang, Yang
14 Zhao, Yue
13 Bal, Guillaume
13 Boumenir, Amin A.
13 Ghattas, Omar N.
13 Han, Bo
13 Laghrib, Amine
13 Lai, Ru-Yu
13 Mathé, Peter
13 Nakamura, Gen
13 Tamasan, Alexandru
13 Wang, Jenn-Nan
12 Calvetti, Daniela
12 Dardé, Jérémi
12 De los Reyes, Juan Carlos
12 Ji, Xia
12 Karageorghis, Andreas
12 Kindermann, Stefan
12 Li, Jianliang
12 Rundell, William
12 Simon, Barry
12 Zhu, Wei
11 Ammari, Habib
11 Chang, Huibin
11 Daudé, Thierry
11 Jin, Bangti
11 Kolehmainen, Ville
11 Kurylëv, Yaroslav Vadimovich
11 Li, Qin
11 Miranville, Alain M.
11 Mueller, Jennifer L.
11 Osting, Braxton
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Cited in 397 Journals

411 Inverse Problems
268 Inverse Problems and Imaging
186 SIAM Journal on Imaging Sciences
107 Journal of Scientific Computing
91 Journal of Inverse and Ill-Posed Problems
80 Journal of Mathematical Imaging and Vision
77 SIAM Journal on Mathematical Analysis
73 Journal of Computational Physics
72 Journal of Computational and Applied Mathematics
69 Journal of Mathematical Analysis and Applications
66 Inverse Problems in Science and Engineering
64 Applicable Analysis
58 SIAM Journal on Applied Mathematics
56 Computers & Mathematics with Applications
52 Journal of Differential Equations
51 SIAM Journal on Scientific Computing
38 Applied Mathematics and Computation
31 Applied Numerical Mathematics
29 Applied Mathematical Modelling
28 Mathematical Methods in the Applied Sciences
27 SIAM/ASA Journal on Uncertainty Quantification
26 SIAM Journal on Numerical Analysis
26 Advances in Computational Mathematics
24 Mathematical Problems in Engineering
23 Computer Methods in Applied Mechanics and Engineering
23 Mathematics of Computation
22 Applied and Computational Harmonic Analysis
22 Computational and Applied Mathematics
21 Numerische Mathematik
19 Journal of Functional Analysis
18 Communications in Mathematical Physics
18 Applied Mathematics Letters
18 Communications in Partial Differential Equations
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Numerical Functional Analysis and Optimization
17 Numerical Algorithms
17 Research in the Mathematical Sciences
16 The Journal of Geometric Analysis
15 Journal of Optimization Theory and Applications
15 Journal of Mathematical Sciences (New York)
15 Discrete and Continuous Dynamical Systems. Series B
15 Multiscale Modeling & Simulation
15 Communications in Computational Physics
14 Journal of Mathematical Physics
14 Proceedings of the American Mathematical Society
14 ETNA. Electronic Transactions on Numerical Analysis
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 International Journal of Computer Mathematics
13 Computational Optimization and Applications
13 Journal of Spectral Theory
12 Wave Motion
12 Advances in Mathematics
12 Applied Mathematics and Optimization
12 The Journal of Fourier Analysis and Applications
12 Boundary Value Problems
12 Discrete and Continuous Dynamical Systems. Series S
11 Archive for Rational Mechanics and Analysis
11 Mathematische Annalen
11 Journal of Integral Equations and Applications
11 Linear Algebra and its Applications
11 International Journal of Computer Vision
11 East Asian Journal on Applied Mathematics
10 Journal of Approximation Theory
10 Transactions of the American Mathematical Society
10 European Journal of Applied Mathematics
10 Calculus of Variations and Partial Differential Equations
10 Engineering Analysis with Boundary Elements
10 Computational Methods in Applied Mathematics
10 Communications on Pure and Applied Analysis
10 Analysis and Mathematical Physics
10 Electronic Research Archive
9 BIT
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Analysis and Applications (Singapore)
9 Mathematical Control and Related Fields
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8 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
8 Communications in Nonlinear Science and Numerical Simulation
8 Annales Henri Poincaré
8 Analysis & PDE
8 Advances in Applied Mathematics and Mechanics
8 AIMS Mathematics
7 Journal d’Analyse Mathématique
7 Calcolo
7 Numerical Methods for Partial Differential Equations
7 SIAM Review
7 Abstract and Applied Analysis
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Mediterranean Journal of Mathematics
7 Electronic Journal of Statistics
7 Statistics and Computing
7 Mathematics in Engineering
6 Journal of the Franklin Institute
6 Acta Mathematicae Applicatae Sinica. English Series
6 Revista Matemática Iberoamericana
6 Journal of the American Mathematical Society
6 Applications of Mathematics
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121 Differential geometry (53-XX)
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