Inverse Problems

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  • 2024 | Journal Article
    ​ ​Quantitative passive imaging by iterative holography: the example of helioseismic holography​
    Müller, B.; Hohage, T.; Fournier, D. & Gizon, L.​ (2024) 
    Inverse Problems, 40(4) art. 045016​.​ DOI: https://doi.org/10.1088/1361-6420/ad2b9a 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​Adaptive minimax optimality in statistical inverse problems via SOLIT—Sharp Optimal Lepskiĭ-Inspired Tuning​
    Li, H.   & Werner, F. ​ (2023) 
    Inverse Problems, 40(2) art. 025005​.​ DOI: https://doi.org/10.1088/1361-6420/ad12e0 
    ​Details  DOI 
  • 2022 | Journal Article | Research Paper | 
    ​ ​Parameter identification for elliptic boundary value problems: an abstract framework and applications​
    Hoffmann, H.; Wald, A.   & Nguyen, T. T. N.​ (2022) 
    Inverse Problems, 38(7).​ DOI: https://doi.org/10.1088/1361-6420/ac6d02 
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  • 2022 | Journal Article | Research Paper | 
    ​ ​Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators​
    Karimi, M. ​ (2022) 
    Inverse Problems, 38(5).​ DOI: https://doi.org/10.1088/1361-6420/ac5ac8 
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  • 2021 | Journal Article
    ​ ​Variational regularization theory based on image space approximation rates​
    Miller, P.​ (2021) 
    Inverse Problems, 37(6) pp. 065003​.​ DOI: https://doi.org/10.1088/1361-6420/abf5bb 
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  • 2021 | Journal Article | Research Paper | 
    ​ ​Projection methods for high numerical aperture phase retrieval​
    Hieu Thao, N.; Soloviev, O.; Luke, R.   & Verhaegen, M.​ (2021) 
    Inverse Problems, 37(12) pp. 125005​.​ DOI: https://doi.org/10.1088/1361-6420/ac3322 
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  • 2020 | Journal Article
    ​ ​Density matrix reconstructions in ultrafast transmission electron microscopy: uniqueness, stability, and convergence rates​
    Shi, C.; Ropers, C.   & Hohage, T. ​ (2020) 
    Inverse Problems, 36(2) art. 025005​.​ DOI: https://doi.org/10.1088/1361-6420/ab539a 
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  • 2020 | Journal Article | Research Paper
    ​ ​Global uniqueness in a passive inverse problem of helioseismology​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2020) 
    Inverse Problems, 36(5) art. 055004​.​ DOI: https://doi.org/10.1088/1361-6420/ab77d9 
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  • 2020 | Journal Article | Research Paper
    ​ ​Uniqueness of an inverse source problem in experimental aeroacoustics​
    Hohage, T. ; Raumer, H.-G.   & Spehr, C.​ (2020) 
    Inverse Problems, 36(7) art. 075012​.​ DOI: https://doi.org/10.1088/1361-6420/ab8484 
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  • 2020 | Journal Article
    ​ ​On the local Lipschitz stability of Bayesian inverse problems​
    Sprungk, B.​ (2020) 
    Inverse Problems, 36(5) pp. 055015​.​ DOI: https://doi.org/10.1088/1361-6420/ab6f43 
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  • 2020 | Journal Article
    ​ ​Determining two coefficients in diffuse optical tomography with incomplete and noisy Cauchy data​
    Tam Quyen, T. N.​ (2020) 
    Inverse Problems, 36(9) pp. 095011​.​ DOI: https://doi.org/10.1088/1361-6420/aba5f0 
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  • 2020 | Journal Article | Research Paper
    ​ ​Inverse Problems with inexact forward operator: Iterative regularization and application in dynamic imaging​
    Blanke, S.; Hahn, B. & Wald, A. ​ (2020) 
    Inverse Problems,.​ DOI: https://doi.org/10.1088/1361-6420/abb5e1 
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  • 2020 | Journal Article | Research Paper | 
    ​ ​NETT: solving inverse problems with deep neural networks​
    Li, H. ; Schwab, J.; Antholzer, S. & Haltmeier, M.​ (2020) 
    Inverse Problems, 36(6) pp. 065005​.​ DOI: https://doi.org/10.1088/1361-6420/ab6d57 
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  • 2019 | Journal Article | Research Paper
    ​ ​Elastic energy regularization for inverse obstacle scattering problems​
    Eckhardt, J.; Hiptmair, R.; Hohage, T. ; Schumacher, H. & Wardetzky, M. ​ (2019) 
    Inverse Problems, 35(10) art. 104009​.​ DOI: https://doi.org/10.1088/1361-6420/ab3034 
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  • 2019 | Journal Article | Research Paper
    ​ ​Inverse wave propagation problems without phase information​
    Hohage, T.   & Novikov, R. G.​ (2019) 
    Inverse Problems, 35(7) art. 070301​.​ DOI: https://doi.org/10.1088/1361-6420/ab1aaf 
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  • 2019 | Journal Article
    ​ ​Finite element approximation of source term identification with TV-regularization​
    Hinze, M. & Quyen, T. N. T.​ (2019) 
    Inverse Problems, 35(12) pp. 124004​.​ DOI: https://doi.org/10.1088/1361-6420/ab3478 
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  • 2019 | Journal Article
    ​ ​A reaction coefficient identification problem for fractional diffusion​
    Otárola, E. & Quyen, T. N. T.​ (2019) 
    Inverse Problems, 35(4) pp. 045010​.​ DOI: https://doi.org/10.1088/1361-6420/ab0127 
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  • 2019 | Journal Article
    ​ ​Convergence analysis of (statistical) inverse problems under conditional stability estimates​
    Werner, F.   & Hofmann, B.​ (2019) 
    Inverse Problems, 36(1) pp. 015004​.​ DOI: https://doi.org/10.1088/1361-6420/ab4cd7 
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  • 2019 | Journal Article | Research Paper
    ​ ​Optimal convergence rates for sparsity promoting wavelet-regularization in Besov spaces​
    Hohage, T.   & Miller, P.​ (2019) 
    Inverse Problems, 35(6) art. 065005​.​ DOI: https://doi.org/10.1088/1361-6420/ab0b15 
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  • 2019 | Journal Article | Research Paper
    ​ ​An iterative approach to monochromatic phaseless inverse scattering​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2019) 
    Inverse Problems, 35(2) art. 024001​.​ DOI: https://doi.org/10.1088/1361-6420/aaf097 
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  • 2018 | Journal Article | Research Paper
    ​ ​Automatic alignment for three-dimensional tomographic reconstruction​
    van Leeuwen, T.; Maretzke, S. & Batenburg, K J.​ (2018) 
    Inverse Problems, 34(2) art. 024004​.​ DOI: https://doi.org/10.1088/1361-6420/aaa0f8 
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  • 2018 | Journal Article | Research Paper
    ​ ​Cryogenic electron tomography reconstructions from phaseless data​
    Zickert, G. & Maretzke, S.​ (2018) 
    Inverse Problems, 34(12) art. 124001​.​ DOI: https://doi.org/10.1088/1361-6420/aade22 
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  • 2018 | Journal Article | Research Paper
    ​ ​Locality estimates for Fresnel-wave-propagation and stability of x-ray phase contrast imaging with finite detectors​
    Maretzke, S.​ (2018) 
    Inverse Problems, 34(12) art. 124004​.​ DOI: https://doi.org/10.1088/1361-6420/aae78f 
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  • 2018 | Journal Article
    ​ ​Nonlocal impedance conditions in direct and inverse obstacle scattering​
    Kress, R. ​ (2018) 
    Inverse Problems, 35(2) pp. 024002​.​ DOI: https://doi.org/10.1088/1361-6420/aaf14e 
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  • 2018 | Journal Article | Research Paper
    ​ ​A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification​
    Wald, A. ​ (2018) 
    Inverse Problems, 34(8) art. 085008​.​ DOI: https://doi.org/10.1088/1361-6420/aac8f3 
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  • 2017 | Journal Article
    ​ ​Seismic data interpolation and denoising by learning a tensor tight frame​
    Liu, L. ; Plonka, G.   & Ma, J.​ (2017) 
    Inverse Problems, 33(10) pp. 105011​.​ DOI: https://doi.org/10.1088/1361-6420/aa7773 
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  • 2016 | Journal Article
    ​ ​Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows​
    Fournier, D. ; Gizon, L. ; Holzke, M. & Hohage, T. ​ (2016) 
    Inverse Problems, 32(10) pp. 1​-27​.​ DOI: https://doi.org/10.1088/0266-5611/32/10/105002 
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  • 2016 | Journal Article
    ​ ​Inverse Problems with Poisson Data: statistical regularization theory, applications and algorithms​
    Hohage, T.   & Werner, F. ​ (2016) 
    Inverse Problems, 32.​ DOI: https://doi.org/10.1088/0266-5611/32/9/093001 
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  • 2015 | Journal Article
    ​ ​Verification of a variational source condition for acoustic inverse medium scattering problems​
    Hohage, T.   & Weidling, F. ​ (2015) 
    Inverse Problems, 31(7) art. 075006​.​ DOI: https://doi.org/10.1088/0266-5611/31/7/075006 
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  • 2015 | Journal Article
    ​ ​A uniqueness result for propagation-based phase contrast imaging from a single measurement​
    Maretzke, S. ​ (2015) 
    Inverse Problems, 31(6) art. 065003​.​ DOI: https://doi.org/10.1088/0266-5611/31/6/065003 
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  • 2015 | Journal Article | Research Paper
    ​ ​Parallel magnetic resonance imaging as approximation in a reproducing kernel Hilbert space​
    Athalye, V.; Lustig, M. & Uecker, M. ​ (2015) 
    Inverse Problems, 31(4) art. 045008​.​ DOI: https://doi.org/10.1088/0266-5611/31/4/045008 
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  • 2014 | Journal Article
    ​ ​Phase retrieval for Fresnel measurements using a shearlet sparsity constraint​
    Loock, S. & Plonka-Hoch, G. ​ (2014) 
    Inverse Problems, 30(5) art. 055005​.​ DOI: https://doi.org/10.1088/0266-5611/30/5/055005 
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  • 2014 | Journal Article
    ​ ​Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging​
    Cakoni, F.; Hu, Y. & Kress, R. ​ (2014) 
    Inverse Problems, 30(10) art. 105009​.​ DOI: https://doi.org/10.1088/0266-5611/30/10/105009 
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  • 2014 | Journal Article
    ​ ​On parameter identification in stochastic differential equations by penalized maximum likelihood​
    Dunker, F. & Hohage, T. ​ (2014) 
    Inverse Problems, 30(9) pp. 1​-20​.​ DOI: https://doi.org/10.1088/0266-5611/30/9/095001 
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  • 2013 | Journal Article
    ​ ​A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators​
    Peter, T. & Plonka-Hoch, G. ​ (2013) 
    Inverse Problems, 29(2) art. 025001​.​ DOI: https://doi.org/10.1088/0266-5611/29/2/025001 
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  • 2013 | Journal Article
    ​ ​A Newton method for a simultaneous reconstruction of an interface and a buried obstacle from far-field data​
    Zhang, H.   & Zhang, B.​ (2013) 
    Inverse Problems, 29(4) art. 045009​.​ DOI: https://doi.org/10.1088/0266-5611/29/4/045009 
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  • 2013 | Journal Article
    ​ ​Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition​
    Cakoni, F. & Kress, R. ​ (2013) 
    Inverse Problems, 29(1) art. 015005​.​ DOI: https://doi.org/10.1088/0266-5611/29/1/015005 
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  • 2013 | Journal Article
    ​ ​Reconstruction of extended sources for the Helmholtz equation​
    Kreß, R.   & Rundell, W.​ (2013) 
    Inverse Problems, 29(3) art. 035005​.​ DOI: https://doi.org/10.1088/0266-5611/29/3/035005 
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  • 2012 | Journal Article
    ​ ​Convergence rates in expectation for Tikhonov-type regularization of Inverse Problems with Poisson data​
    Werner, F. & Hohage, T. ​ (2012) 
    Inverse Problems, 28(10).​ DOI: https://doi.org/10.1088/0266-5611/28/10/104004 
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  • 2012 | Journal Article
    ​ ​The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy​
    Stück, R.; Burger, M. & Hohage, T. ​ (2012) 
    Inverse Problems, 28.​ DOI: https://doi.org/10.1088/0266-5611/28/1/015012 
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  • 2012 | Journal Article | Research Paper
    ​ ​Shape-constrained regularization by statistical multiresolution for inverse problems: asymptotic analysis​
    Frick, K.; Marnitz, P. & Munk, A. ​ (2012) 
    Inverse Problems, 28(6) art. 065006​.​ DOI: https://doi.org/10.1088/0266-5611/28/6/065006 
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  • 2012 | Journal Article
    ​ ​Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities​
    Frick, K. & Grasmair, M.​ (2012) 
    Inverse Problems, 28(10) art. 104005​.​ DOI: https://doi.org/10.1088/0266-5611/28/10/104005 
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  • 2010 | Journal Article
    ​ ​Integral equations for shape and impedance reconstruction in corrosion detection​
    Cakoni, F.; Kress, R.   & Schuft, C.​ (2010) 
    Inverse Problems, 26(9) art. 095012​.​ DOI: https://doi.org/10.1088/0266-5611/26/9/095012 
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  • 2010 | Journal Article
    ​ ​Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems​
    Hohage, T.   & Langer, S.​ (2010) 
    Inverse Problems, 26(7) pp. 1​-15​.​ DOI: https://doi.org/10.1088/0266-5611/26/7/074011 
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  • 2010 | Journal Article
    ​ ​Conformal mapping and impedance tomography​
    Haddar, H. & Kress, R. ​ (2010) 
    Inverse Problems, 26(7) art. 074002​.​ DOI: https://doi.org/10.1088/0266-5611/26/7/074002 
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  • 2010 | Journal Article
    ​ ​Three-dimensional acoustic scattering by complex obstacles: the accuracy issue​
    Ben Hassen, M. F.; Ivanyshyn, O. & Sini, M.​ (2010) 
    Inverse Problems, 26(10) art. 105008​.​ DOI: https://doi.org/10.1088/0266-5611/26/10/105008 
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  • 2009 | Journal Article | 
    ​ ​Iterative and range test methods for an inverse source problem for acoustic waves​
    Alves, C.; Kress, R.   & Serranho, P.​ (2009) 
    Inverse Problems, 25(5) art. 055005​.​ DOI: https://doi.org/10.1088/0266-5611/25/5/055005 
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  • 2008 | Journal Article
    ​ ​Inverse electromagnetic scattering in a two-layered medium with an application to mine detection​
    Delbary, F.; Erhard, K.; Kress, R. ; Potthast, R. & Schulz, J.​ (2008) 
    Inverse Problems, 24(1) art. 015002​.​ DOI: https://doi.org/10.1088/0266-5611/24/1/015002 
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  • 2008 | Journal Article
    ​ ​Data-driven efficient score tests for deconvolution hypotheses​
    Langovoy, M. A.​ (2008) 
    Inverse Problems, 24(2) art. 025028​.​ DOI: https://doi.org/10.1088/0266-5611/24/2/025028 
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  • 2007 | Journal Article
    ​ ​Some considerations concerning regularization and parameter choice algorithms​
    Bauer, F.​ (2007) 
    Inverse Problems, 23(2) pp. 837​-858​.​ DOI: https://doi.org/10.1088/0266-5611/23/2/021 
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  • 2007 | Journal Article
    ​ ​Nonlinear integral equations for the inverse electrical impedance problem​
    Eckel, H. & Kress, R. ​ (2007) 
    Inverse Problems, 23(2) pp. 475​-491​.​ DOI: https://doi.org/10.1088/0266-5611/23/2/002 
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  • 2007 | Journal Article
    ​ ​Optimal regularization with two interdependent regularization parameters​
    Bauer, F. & Ivanyshyn, O.​ (2007) 
    Inverse Problems, 23(1) pp. 331​-342​.​ DOI: https://doi.org/10.1088/0266-5611/23/1/018 
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  • 2007 | Journal Article
    ​ ​Detecting corrosion using thermal measurements​
    Hohage, T. ; Rapun, M.-L. & Sayas, F.-J.​ (2007) 
    Inverse Problems, 23(1) pp. 53​-72​.​ DOI: https://doi.org/10.1088/0266-5611/23/1/003 
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  • 2006 | Journal Article
    ​ ​Iterative reconstruction of dielectric rough surface profiles at fixed frequency​
    Akduman, I.; Kress, R.   & Yapar, A.​ (2006) 
    Inverse Problems, 22(3) pp. 939​-954​.​ DOI: https://doi.org/10.1088/0266-5611/22/3/013 
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  • 2006 | Journal Article
    ​ ​A hybrid method for inverse scattering for shape and impedance​
    Serranho, P.​ (2006) 
    Inverse Problems, 22(2) pp. 663​-680​.​ DOI: https://doi.org/10.1088/0266-5611/22/2/017 
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  • 2006 | Journal Article
    ​ ​The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations​
    Ben Hassen, M. F.; Erhard, K. & Potthast, R.​ (2006) 
    Inverse Problems, 22(1) pp. 331​-353​.​ DOI: https://doi.org/10.1088/0266-5611/22/1/018 
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  • 2006 | Review
    ​ ​A survey on sampling and probe methods for inverse problems​
    Potthast, R.​ (2006)
    Inverse Problems, 22​(2) pp. R1​-R47​.​
    Iop Publishing Ltd. DOI: https://doi.org/10.1088/0266-5611/22/2/R01 
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  • 2006 | Review
    ​ ​Using fundamental solutions in inverse scattering​
    Colton, D.& Kress, R. ​ (2006)
    Inverse Problems, 22​(3) pp. R49​-R66​.​
    Iop Publishing Ltd. DOI: https://doi.org/10.1088/0266-5611/22/3/R01 
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  • 2005 | Journal Article
    ​ ​A hybrid method for two-dimensional crack reconstruction​
    Kress, R.   & Serranho, P.​ (2005) 
    Inverse Problems, 21(2) pp. 773​-784​.​ DOI: https://doi.org/10.1088/0266-5611/21/2/020 
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  • 2005 | Journal Article
    ​ ​A Lepskij-type stopping rule for regularized Newton methods​
    Bauer, F.   & Hohage, T. ​ (2005) 
    Inverse Problems, 21(6) pp. 1975​-1991​.​ DOI: https://doi.org/10.1088/0266-5611/21/6/011 
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  • 2005 | Journal Article
    ​ ​Recovery of pointwise sources or small inclusions in 2D domains and rational approximation​
    Baratchart, L.; Ben Abda, A.; Ben Hassen, F. & Leblond, J.​ (2005) 
    Inverse Problems, 21(1) pp. 51​-74​.​ DOI: https://doi.org/10.1088/0266-5611/21/1/005 
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  • 2005 | Journal Article
    ​ ​Conformal mappings and inverse houndary value problems​
    Haddar, H. & Kress, R. ​ (2005) 
    Inverse Problems, 21(3) pp. 935​-953​.​ DOI: https://doi.org/10.1088/0266-5611/21/3/009 
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  • 2005 | Journal Article
    ​ ​On uniqueness and non-uniqueness for current reconstruction from magnetic fields​
    Hauer, K. H.; Kuhn, L. & Potthast, R.​ (2005) 
    Inverse Problems, 21(3) pp. 955​-967​.​ DOI: https://doi.org/10.1088/0266-5611/21/3/010 
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  • 2005 | Journal Article
    ​ ​Nonlinear integral equations and the iterative solution for an inverse boundary value problem​
    Kress, R.   & Rundell, W.​ (2005) 
    Inverse Problems, 21(4) pp. 1207​-1223​.​ DOI: https://doi.org/10.1088/0266-5611/21/4/002 
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  • 2004 | Journal Article
    ​ ​Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise​
    Bissantz, N.; Hohage, T.   & Munk, A. ​ (2004) 
    Inverse Problems, 20(6) pp. 1773​-1789​.​ DOI: https://doi.org/10.1088/0266-5611/20/6/005 
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  • 2004 | Journal Article
    ​ ​Identification of anisotropic anomalous region in inverse problems​
    Kwon, K.​ (2004) 
    Inverse Problems, 20(4) art. PII S0266-5611(04)71918-8​.​ DOI: https://doi.org/10.1088/0266-5611/20/4/008 
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  • 2004 | Journal Article
    ​ ​Relaxed averaged alternating reflections for diffraction imaging​
    Luke, R. ​ (2004) 
    Inverse Problems, 21(1) pp. 37​-50​.​ DOI: https://doi.org/10.1088/0266-5611/21/1/004 
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  • 2003 | Journal Article
    ​ ​A 'range test' for determining scatterers with unknown physical properties​
    Potthast, R.; Sylvester, J. & Kusiak, S.​ (2003) 
    Inverse Problems, 19(3) art. PII S0266-5611(03)55512-5​.​ DOI: https://doi.org/10.1088/0266-5611/19/3/304 
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  • 2003 | Journal Article
    ​ ​Newton's method for inverse obstacle scattering meets the method of least squares​
    Kress, R. ​ (2003) 
    Inverse Problems, 19(6) art. PII S0266-5611(03)6201-7​.​ DOI: https://doi.org/10.1088/0266-5611/19/6/056 
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  • 2003 | Journal Article
    ​ ​The point source method for reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering​
    Erhard, K. & Potthast, R.​ (2003) 
    Inverse Problems, 19(5) art. PII S0266-5611(03)63032-7​.​ DOI: https://doi.org/10.1088/0266-5611/19/5/308 
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  • 2002 | Journal Article
    ​ ​Electrostatic imaging via conformal mapping​
    Akduman, I. & Kress, R. ​ (2002) 
    Inverse Problems, 18(6) art. PII S0266-5611(02)37141-7​.​ DOI: https://doi.org/10.1088/0266-5611/18/6/315 
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  • 2002 | Journal Article
    ​ ​Reconstruction of a current distribution from its magnetic field​
    Kress, R. ; Kuhn, L. & Potthast, R.​ (2002) 
    Inverse Problems, 18(4) art. PII S0266-5611(02)31095-5​.​ DOI: https://doi.org/10.1088/0266-5611/18/4/312 
    ​Details  DOI  WoS 
  • 2001 | Conference Paper
    ​ ​Inverse scattering for shape and impedance​
    Kress, R.   & Rundell, W.​ (2001)
    Inverse Problems, 17(4) pp. 1075​-1085. ​Conference RCP264: Inverse Problems and Nonlinearity​, MONTPELLIER, FRANCE.
    Bristol​: Iop Publishing. DOI: https://doi.org/10.1088/0266-5611/17/4/334 
    ​Details  DOI  WoS 
  • 2001 | Journal Article
    ​ ​On the numerical solution of a three-dimensional inverse medium scattering problem​
    Hohage, T. ​ (2001) 
    Inverse Problems, 17 pp. 1743​-1763​.​
    ​Details 
  • 2000 | Journal Article
    ​ ​Inverse scattering for a locally perturbed half-plane​
    Kress, R.   & Tran, T.​ (2000) 
    Inverse Problems, 16(5) pp. 1541​-1559​.​ DOI: https://doi.org/10.1088/0266-5611/16/5/323 
    ​Details  DOI  WoS 
  • 1998 | Journal Article
    ​ ​A Newton-type method for a transmission problem in inverse scattering​
    Hohage, T.   & Schormann, C.​ (1998) 
    Inverse Problems, 14 pp. 1207​-1227​.​
    ​Details 
  • 1997 | Journal Article
    ​ ​Logarithmic Convergence Rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem​
    Hohage, T. ​ (1997) 
    Inverse Problems, 13 pp. 1279​-1299​.​
    ​Details 

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