Prof. Dr. Thorsten Hohage

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  • 2023 | Journal Article
    ​ ​Lorentz microscopy of optical fields​
    Gaida, J. H.; Lourenço-Martins, H.; Yalunin, S. V.; Feist, A.; Sivis, M.; Hohage, T.   & García de Abajo, F. J. et al.​ (2023) 
    Nature Communications, 14(1).​ DOI: https://doi.org/10.1038/s41467-023-42054-3 
    ​Details  DOI 
  • 2022 | Preprint
    ​ ​Phase retrieval and phaseless inverse scattering with background information​
    Hohage, T. ; Novikov, R.& Sivkin, V.​ (2022)
    ​Details 
  • 2022 | Journal Article
    ​ ​Error estimates for variational regularization of inverse problems with general noise models for data and operator​
    Hohage, T.   & Werner, F.​ (2022) 
    Electronic Transactions on Numerical Analysis, 57 pp. 127​-152​.​ DOI: https://doi.org/10.1553/etna_vol57s127 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Convergence rates for oversmoothing Banach space regularization​
    Miller, P. & Hohage, T. ​ (2022) 
    Electronic Transactions on Numerical Analysis, 57 pp. 101​-126​.​ DOI: https://doi.org/10.1553/etna_vol57s101 
    ​Details  DOI 
  • 2022 | Other Publication Type | 
    ​ ​Data policy for CRC 1456​
    Lehrenfeld, C. ; Hohage, T. ; Uecker, M. ; Henne, T. ; Holme, H. C. M.  & Rügge, C. ​ (2022)
    ​Göttingen: ​GRO.data. DOI: https://doi.org/10.25625/42GS0I 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​A Mollifier Approach to the Deconvolution of Probability Densities​
    Hohage, T. ; Maréchal, P.; Simar, L. & Vanhems, A.​ (2022) 
    Econometric Theory, pp. 1​-40​.​ DOI: https://doi.org/10.1017/S0266466622000457 
    ​Details  DOI 
  • 2021 | Journal Article | Research Paper
    ​ ​On the Well-posedness of the Damped Time-harmonic Galbrun Equation and the Equations of Stellar Oscillations​
    Halla, M.   & Hohage, T. ​ (2021) 
    SIAM Journal on Mathematical Analysis, 53(4) pp. 4068​-4095​.​ DOI: https://doi.org/10.1137/20M1348558 
    ​Details  DOI 
  • 2021 | Research Data
    ​ ​Replication Data for: Learned infinite elements​
    Hohage, T. ; Lehrenfeld, C.  & Preuß, J.​ (2021)
    ​Göttingen Research Online / Data. DOI: https://doi.org/10.25625/XPLPRR 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Weighted data spaces for correlation-based array imaging in experimental aeroacoustics​
    Raumer, H.-G. ; Spehr, C.; Hohage, T.   & Ernst, D.​ (2021) 
    Journal of Sound and Vibration, 494 pp. 115878​.​ DOI: https://doi.org/10.1016/j.jsv.2020.115878 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Learned infinite elements​
    Hohage, T. ; Lehrenfeld, C.   & Preuß, J.​ (2020) 
    SIAM Journal on Scientific Computing, 43(5) pp. A3552​-A3579​.​ DOI: https://doi.org/10.1137/20M1381757 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Sweeping preconditioners for stratified media in the presence of reflections​
    Preuß, J.; Hohage, T.   & Lehrenfeld, C. ​ (2020) 
    Partial Differential Equations and Applications, 1(4).​ DOI: https://doi.org/10.1007/s42985-020-00019-x 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Formulation and Efficient Computation of ${\ell}_{\textsf{1}}$ - and Smoothness Penalized Estimates for Microstructure-Informed Tractography​
    Schomburg, H.   & Hohage, T. ​ (2019) 
    IEEE Transactions on Medical Imaging, 38(8) pp. 1899​-1909​.​ DOI: https://doi.org/10.1109/TMI.2019.2902787 
    ​Details  DOI  PMID  PMC 
  • 2018 | Journal Article | Research Paper
    ​ ​Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2018) 
    SIAM Journal on Applied Mathematics, 78(5) pp. 2865​-2890​.​ DOI: https://doi.org/10.1137/18M1182218 
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Quantum Coherent Transverse and Longitudinal Control for Attosecond Shaping of Free Electron Beams​
    Feist, A. ; Priebe, K. E. ; Rathje, C.; Rittmann, T.; Yalunin, S. V. ; Hohage, T.   & Schäfer, S.  et al.​ (2018)
    ​CLEO: QELS_Fundamental Science, part of CLEO: 2018 : 13-18 May 2018, San Jose, California, United States. ​CLEO: QELS_Fundamental Science 2018​, San Jose, California United States.
    Washington, D.C.​: OSA - The Optical Society. DOI: https://doi.org/10.1364/CLEO_QELS.2018.FM4F.1 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​An eigenvalue approach for the automatic scaling of unknowns in model-based reconstructions: Application to real-time phase-contrast flow MRI​
    Tan, Z.; Hohage, T. ; Kalentev, O.; Joseph, A. A.; Wang, X.; Voit, D. & Merboldt, K. D. et al.​ (2017) 
    NMR in Biomedicine, 30(12) art. e3835​.​ DOI: https://doi.org/10.1002/nbm.3835 
    ​Details  DOI  PMID  PMC 
  • 2017 | Journal Article
    ​ ​Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging​
    Maretzke, S.   & Hohage, T. ​ (2017) 
    SIAM Journal on Applied Mathematics, 77(2) pp. 384​-408​.​ DOI: https://doi.org/10.1137/16M1086170 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Attosecond electron pulse trains and quantum state reconstruction in ultrafast transmission electron microscopy​
    Priebe, K. E. ; Rathje, C.; Yalunin, S. V. ; Hohage, T. ; Feist, A. ; Schäfer, S.   & Ropers, C. ​ (2017) 
    Nature Photonics, 11(12) pp. 793​-797​.​ DOI: https://doi.org/10.1038/s41566-017-0045-8 
    ​Details  DOI  arXiv 
  • 2017 | Journal Article
    ​ ​Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods​
    Hohage, T.   & Weidling, F. ​ (2017) 
    SIAM Journal on Numerical Analysis, 55(2) pp. 598​-620​.​ DOI: https://doi.org/10.1137/16M1067445 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems​
    Weidling, F.   & Hohage, T. ​ (2017) 
    Inverse Problems and Imaging, 11(1) pp. 203​-220​.​ DOI: https://doi.org/10.3934/ipi.2017010 
    ​Details  DOI 
  • 2017 | Journal Article | 
    ​ ​Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows​
    Gizon, L. ; Barucq, H.; Duruflé, M.; Hanson, C.; Leguèbe, M.; Birch, A. C.   & Chabassier, J. et al.​ (2017) 
    Astronomy & Astrophysics, 600 pp. 1​-23​.​ DOI: https://doi.org/10.1051/0004-6361/201629470 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Semi-local tractography strategies using neighborhood information​
    Schomburg, H.   & Hohage, T. ​ (2017) 
    Medical Image Analysis, 38 pp. 165​-183​.​ DOI: https://doi.org/10.1016/j.media.2017.03.003 
    ​Details  DOI  PMID  PMC 
  • 2016 | Journal Article
    ​ ​Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise​
    König, C.; Werner, F.   & Hohage, T. ​ (2016) 
    SIAM Journal on Numerical Analysis, 54(1) pp. 341​-360​.​ DOI: https://doi.org/10.1137/15M1022252 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper | 
    ​ ​Validity of the empty-beam correction in near-field imaging​
    Homann, C.; Hohage, T. ; Hagemann, J.; Robisch, A.-L. & Salditt, T. ​ (2015) 
    Physical Review. A, 91(1) art. 013821​.​ DOI: https://doi.org/10.1103/PhysRevA.91.013821 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Convergence of infinite element methods for scalar waveguide problems​
    Hohage, T.   & Nannen, L.​ (2015) 
    BIT Numerical Mathematics, 55(1) pp. 215​-254​.​ DOI: https://doi.org/10.1007/s10543-014-0525-x 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Validity of the empty-beam correction in near-field imaging​
    Homann, C.; Hohage, T. ; Hagemann, J. ; Robisch, A.-L.   & Salditt, T. ​ (2015) 
    Physical Review A, 91(2) art. 029905​.​ DOI: https://doi.org/10.1103/PhysRevA.91.029905 
    ​Details  DOI  WoS 
  • 2014 | Journal Article | Research Paper | 
    ​ ​Reconstruction of wave front and object for inline holography from a set of detection planes​
    Hagemann, J. ; Robisch, A.-L. ; Luke, D. R. ; Homann, C.; Hohage, T. ; Cloetens, P. & Suhonen, H. et al.​ (2014) 
    Optics Express, 22(10) pp. 11552​-11569​.​ DOI: https://doi.org/10.1364/OE.22.011552 
    ​Details  DOI  PMID  PMC  WoS 
  • 2014 | Journal Article
    ​ ​Iterative estimation of solutions to noisy nonlinear operator equations in nonparametric instrumental regression​
    Dunker, F.; Florens, J.-P.; Hohage, T. ; Johannes, J. & Mammen, E.​ (2014) 
    Journal of Econometrics, 178 pp. 444​-455​.​ DOI: https://doi.org/10.1016/j.jeconom.2013.06.001 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Convergence Rates for Inverse Problems with Impulsive Noise​
    Hohage, T.   & Werner, F. ​ (2014) 
    SIAM Journal on Numerical Analysis, 52(3) pp. 1203​-1221​.​ DOI: https://doi.org/10.1137/130932661 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2014 | Journal Article | 
    ​ ​Generalization of the noise model for time-distance helioseismology​
    Fournier, D. ; Gizon, L. ; Hohage, T.   & Birch, A. C. ​ (2014) 
    Astronomy & Astrophysics, 567 art. 137​.​ DOI: https://doi.org/10.1051/0004-6361/201423580 
    ​Details  DOI 
  • 2014 | Journal Article | 
    ​ ​Asymptotic laws for change point estimation in inverse regression​
    Frick, S.; Hohage, T.   & Munk, A. ​ (2014) 
    Statistica Sinica, 24(2) pp. 555​-575​.​ DOI: https://doi.org/10.5705/ss.2012.007 
    ​Details  DOI  WoS 
  • 2013 | Journal Article | 
    ​ ​Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data​
    Hohage, T.   & Werner, F. ​ (2013) 
    Numerische Mathematik, 123(4) pp. 745​-779​.​ DOI: https://doi.org/10.1007/s00211-012-0499-z 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Coherent femtosecond low-energy single-electron pulses for time-resolved diffraction and imaging: A numerical study​
    Paarmann, A.; Gulde, M.; Mueller, M. ; Schäfer, S. ; Schweda, S. ; Maiti, M.   & Xu, C. et al.​ (2012) 
    Journal of Applied Physics, 112(11).​ DOI: https://doi.org/10.1063/1.4768204 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2009 | Journal Article | 
    ​ ​The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications​
    Gilliam, D. S.; Hohage, T. ; Ji, X. & Ruymgaart, F.​ (2009) 
    International Journal of Mathematics and Mathematical Sciences, 2009 art. 239025​.​ DOI: https://doi.org/10.1155/2009/239025 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content​
    Uecker, M. ; Hohage, T. ; Block, K. T. & Frahm, J. ​ (2008) 
    Magnetic Resonance in Medicine, 60(3) pp. 674​-682​.​ DOI: https://doi.org/10.1002/mrm.21691 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise​
    Hohage, T.   & Pricop, M. ​ (2008) 
    Inverse Problems and Imaging, 2(2) pp. 271​-290​.​ DOI: https://doi.org/10.3934/ipi.2008.2.271 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain​
    Schmidt, F.; Hohage, T. ; Klose, R.; Schädle, A. & Zschiedrich, L.​ (2008) 
    Journal of Computational and Applied Mathematics, 218(1) pp. 61​-69​.​ DOI: https://doi.org/10.1016/j.cam.2007.04.046 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Convergence rates of general regularization methods for statistical inverse problems and applications​
    Bissantz, N.; Hohage, T. ; Munk, A.   & Ruymgaart, F.​ (2007) 
    SIAM Journal on Numerical Analysis, 45(6) pp. 2610​-2636​.​ DOI: https://doi.org/10.1137/060651884 
    ​Details  DOI  WoS 
  • 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 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​A Lepskij's stopping rule for Newton-type methods with random noise​
    Bauer, F.   & Hohage, T. ​ (2005) 
    Proceedings in Applied Mathematics and Mechanics, 5(1) pp. 15​-18​.​ DOI: https://doi.org/10.1002/pamm.200510005 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​On radiation conditions for rough surface scattering problems​
    Arens, T. & Hohage, T. ​ (2005) 
    IMA Journal of Applied Mathematics, 70(6) pp. 839​-847​.​ DOI: https://doi.org/10.1093/imamat/hxh065 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform​
    Hohage, T.   & Sayas, F.​ (2005) 
    Numerische Mathematik, 102(1) pp. 67​-92​.​ DOI: https://doi.org/10.1007/s00211-005-0645-y 
    ​Details  DOI 
  • 2005 | Journal Article | Research Paper | 
    ​ ​An iterative method for inverse medium scattering problems based on factorization of the far field operator​
    Hohage, T. ​ (2005) 
    Journal of Physics. Conference Series, 12(1) pp. 33​.​ DOI: https://doi.org/10.1088/1742-6596/12/1/004 
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​On resonances in open systems​
    Hein, S. ; Hohage, T.   & Koch, W. ​ (2004) 
    Journal of Fluid Mechanics, 506 pp. 255​-284​.​ DOI: https://doi.org/10.1017/S0022112004008584 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2003) 
    SIAM Journal on Mathematical Analysis, 35(1) pp. 183​-210​.​ DOI: https://doi.org/10.1137/S0036141002406473 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2003) 
    SIAM Journal on Mathematical Analysis, 35(3) pp. 547​-560​.​ DOI: https://doi.org/10.1137/S0036141002406485 
    ​Details  DOI 
  • 2000 | Journal Article
    ​ ​Regularization of Exponentially ill-posed Problems​
    Hohage, T. ​ (2000) 
    Numerical Functional Analysis and Optimization, 21(3-4) pp. 439​-464​.​ DOI: https://doi.org/10.1080/01630560008816965 
    ​Details  DOI 
  • 1999 | Thesis | Doctoral Thesis
    ​ ​Iterative Methods in Inverse Obstacle Scattering: Regularization Theory of Linear and Nonlinear Exponentially ill-posed Problems​
    Hohage, T. ​ (1999)
    University of Linz.
    ​Details 
  • 1998 | Journal Article
    ​ ​Convergence Rates of a Regularized Newton Method in Sound-Hard Inverse Scattering​
    Hohage, T. ​ (1998) 
    SIAM Journal on Numerical Analysis, 36(1) pp. 125​-142​.​ DOI: https://doi.org/10.1137/S0036142997327750 
    ​Details  DOI 

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