Inverse Problems

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Top Articles

#	Title	Journal	Year	Citations
1	Optical tomography in medical imaging	Inverse Problems	1999	2,176
2	Sparsity and incoherence in compressive sampling	Inverse Problems	2007	1,706
3	Synthetic aperture radar interferometry	Inverse Problems	1998	1,547
4	A unified treatment of some iterative algorithms in signal processing and image reconstruction	Inverse Problems	2004	962
5	Iterative oblique projection onto convex sets and the split feasibility problem	Inverse Problems	2002	792
6	Analysis of bounded variation penalty methods for ill-posed problems	Inverse Problems	1994	684
7	A contrast source inversion method	Inverse Problems	1997	682
8	An inverse Robin problem for Laplace's equation: theoretical results and numerical methods	Inverse Problems	1999	629
9	A simple method for solving inverse scattering problems in the resonance region	Inverse Problems	1996	616
10	Electrical impedance tomography	Inverse Problems	2002	562
11	Separable nonlinear least squares: the variable projection method and its applications	Inverse Problems	2003	562
12	Analysis versus synthesis in signal priors	Inverse Problems	2007	549
13	The multiple-sets split feasibility problem and its applications for inverse problems	Inverse Problems	2005	539
14	Tensor completion and low-n-rank tensor recovery via convex optimization	Inverse Problems	2011	503
15	Convergence rates for Tikhonov regularisation of non-linear ill-posed problems	Inverse Problems	1989	475
16	Optical tomography: forward and inverse problems	Inverse Problems	2009	468
17	Characterization of the shape of a scattering obstacle using the spectral data of the far field operator	Inverse Problems	1998	461
18	Edge-preserving and scale-dependent properties of total variation regularization	Inverse Problems	2003	451
19	Restricted isometry properties and nonconvex compressive sensing	Inverse Problems	2008	417
20	Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction?	Inverse Problems	2009	417
21	Solving ill-posed inverse problems using iterative deep neural networks	Inverse Problems	2017	411
22	Relaxed averaged alternating reflections for diffraction imaging	Inverse Problems	2005	402
23	Numerical tools for analysis and solution of Fredholm integral equations of the first kind	Inverse Problems	1992	401
24	Evolutionary optimization as applied to inverse scattering problems	Inverse Problems	2009	361
25	Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces	Inverse Problems	2010	359
26	A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems	Inverse Problems	1997	348
27	A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem	Inverse Problems	2006	348
28	The relaxed CQ algorithm solving the split feasibility problem	Inverse Problems	2004	338
29	Level set methods for inverse scattering	Inverse Problems	2006	337
30	Learning about physical parameters: the importance of model discrepancy	Inverse Problems	2014	335
31	Inverse problems in elasticity	Inverse Problems	2005	315
32	Inverse scattering transform for the Camassa–Holm equation	Inverse Problems	2006	308
33	On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions	Inverse Problems	1986	292
34	Inverse scattering series and seismic exploration	Inverse Problems	2003	292
35	Inverse problems and Carleman estimates	Inverse Problems	1992	283
36	Extended contrast source inversion	Inverse Problems	1999	282
37	Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography	Inverse Problems	2000	282
38	Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation	Inverse Problems	2009	280
39	The linear sampling method in inverse electromagnetic scattering theory	Inverse Problems	2003	277
40	Electrical impedance tomography and Calderón's problem	Inverse Problems	2009	276
41	Joint inversion: a structural approach	Inverse Problems	1997	275
42	Continuous probabilistic solutions to the biomagnetic inverse problem	Inverse Problems	1990	271
43	A simple method using Morozov's discrepancy principle for solving inverse scattering problems	Inverse Problems	1997	270
44	A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators	Inverse Problems	2007	269
45	Acoustic time-reversal mirrors	Inverse Problems	2001	268
46	Solution of inverse problems in elasticity imaging using the adjoint method	Inverse Problems	2003	267
47	Persistent angular structure: new insights from diffusion magnetic resonance imaging data	Inverse Problems	2003	266
48	Monte Carlo analysis of inverse problems	Inverse Problems	2002	261
49	Free space experimental scattering database continuation: experimental set-up and measurement precision	Inverse Problems	2005	257
50	Solving the split feasibility problem without prior knowledge of matrix norms	Inverse Problems	2012	257

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