RTG 2088: Research Training Group 2088 Discovering structure in complex data: Statistics meets Optimization and Inverse Problems RSS Feed


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  • 2023 | Journal Article | Research Paper
    ​ ​X-let’s Atom Combinations for Modeling and Denoising of OCT Images by Modified Morphological Component Analysis​
    Razavi, R. ; Plonka, G.   & Rabbani, H.​ (2023) 
    IEEE Transactions on Medical Imaging,.​ DOI: https://doi.org/10.1109/TMI.2023.3320977 
    ​Details  DOI 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 3: Florian​
    Sennewald, A. ​ (2021)
    RTGcast.
    ​Details 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 2: Inge​
    Sennewald, A. ​ (2021)
    RTGcast.
    ​Details 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 1: Marcel​
    Sennewald, A. ​ (2021)
    RTGcast.
    ​Details 
  • 2021 | Journal Article | 
    ​ ​Deterministic Sparse Sublinear FFT with Improved Numerical Stability​
    Plonka, G. & von Wulffen, T.​ (2021) 
    Results in Mathematics, 76(2).​ DOI: https://doi.org/10.1007/s00025-020-01330-0 
    ​Details  DOI  arXiv 
  • 2021 | Journal Article
    ​ ​Frame-constrained total variation regularization for white noise regression​
    del Álamo, M.; Li, H.   & Munk, A. ​ (2021) 
    The Annals of Statistics, 49(3).​ DOI: https://doi.org/10.1214/20-AOS2001 
    ​Details  DOI  arXiv 
  • 2021 | Journal Article
    ​ ​Stability of the Cut Locus and a Central Limit Theorem for Fréchet Means of Riemannian Manifolds​
    Eltzner, B. ; Galaz-García, F.; Huckemann, S. F.   & Tuschmann, W.​ (2021) 
    Proceedings of the American Mathematical Society, 149(09) pp. 3947​-3963​.​ DOI: https://doi.org/10.1090/proc/15429 
    ​Details  DOI  arXiv 
  • 2021 | Journal Article | Research Paper
    ​ ​Multiscale Quantile Segmentation​
    Jula Vanegas, L.; Behr, M.   & Munk, A. ​ (2021) 
    Journal of the American Statistical Association, pp. 1​-14​.​ DOI: https://doi.org/10.1080/01621459.2020.1859380 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces​
    Weidling, F.; Sprung, B. & Hohage, T. ​ (2020) 
    SIAM Journal on Numerical Analysis, 58(1) pp. 21​-47​.​ DOI: https://doi.org/10.1137/18M1178098 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Necessary conditions for linear convergence of iterated expansive, set-valued mappings​
    Luke, D. R. ; Teboulle, M. & Thao, N. H. ​ (2020) 
    Mathematical Programming, 180(1-2) pp. 1​-31​.​ DOI: https://doi.org/10.1007/s10107-018-1343-8 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Empirical Regularized Optimal Transport: Statistical Theory and Applications​
    Klatt, M.; Tameling, C. & Munk, A. ​ (2020) 
    SIAM Journal on Mathematics of Data Science, 2(2) pp. 419​-443​.​ DOI: https://doi.org/10.1137/19M1278788 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Bump detection in the presence of dependency: Does it ease or does it load?​
    Enikeeva, F.; Munk, A. ; Pohlmann, M. & Werner, F.​ (2020) 
    Bernoulli, 26(4) pp. 3280​-3310​.​ DOI: https://doi.org/10.3150/20-BEJ1226 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Convergence Analysis of the Relaxed Douglas-Rachford Algorithm​
    Luke, D. R.   & Martins, A.-L.​ (2020) 
    SIAM Journal on Optimization, 30(1) pp. 542​-584​.​ DOI: https://doi.org/10.1137/18M1229638 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Total variation multiscale estimators for linear inverse problems​
    del Alamo Ruiz, M. & Munk, A. ​ (2020) 
    Information and Inference, 9(4) pp. 961​-986​.​ DOI: https://doi.org/10.1093/imaiai/iaaa001/5766645 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Fixed gate point location problems​
    Botte, M.​ (2020) 
    TOP,.​ DOI: https://doi.org/10.1007/s11750-020-00551-4 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​Generating Valid Linear Inequalities for Nonlinear Programs via Sums of Squares​
    Behrends, S. & Schöbel, A. ​ (2020) 
    Journal of Optimization Theory and Applications, 186(3) pp. 911​-935​.​ DOI: https://doi.org/10.1007/s10957-020-01736-4 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Statistical Molecule Counting in Super-Resolution Fluorescence Microscopy: Towards Quantitative Nanoscopy​
    Staudt, T.; Aspelmeier, T. ; Laitenberger, O.; Geisler, C. ; Egner, A.   & Munk, A. ​ (2020) 
    Statistical Science, 35(1) pp. 92​-111​.​ DOI: https://doi.org/10.1214/19-STS753 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​On a Metropolis–Hastings importance sampling estimator​
    Rudolf, D.   & Sprungk, B.​ (2020) 
    Electronic Journal of Statistics, 14(1) pp. 857​-889​.​ DOI: https://doi.org/10.1214/20-EJS1680 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​The Generalized Operator Based Prony Method​
    Stampfer, K. & Plonka, G. ​ (2020) 
    Constructive Approximation, 52(2) pp. 247​-282​.​ DOI: https://doi.org/10.1007/s00365-020-09501-6 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems​
    Schillings, C.; Sprungk, B. & Wacker, P.​ (2020) 
    Numerische Mathematik, 145(4) pp. 915​-971​.​ DOI: https://doi.org/10.1007/s00211-020-01131-1 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​Metrics and barycenters for point pattern data​
    Müller, R.; Schuhmacher, D.   & Mateu, J.​ (2020) 
    Statistics and Computing, 30(4) pp. 953​-972​.​ DOI: https://doi.org/10.1007/s11222-020-09932-y 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​A Tree-based Dictionary Learning Framework​
    Budinich, R. & Plonka, G. ​ (2019) 
    International Journal of Wavelets, Multiresolution and Information Processing, 18(5) art. 2050041​.​ DOI: https://doi.org/10.1142/S0219691320500411 
    ​Details  DOI  arXiv 
  • 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 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Detecting anisotropy in fingerprint growth​
    Markert, K.; Krehl, K.; Gottschlich, C.   & Huckemann, S. ​ (2019) 
    Journal of the Royal Statistical Society. Series C, Applied Statistics, 68(4) pp. 1007​-1027​.​ DOI: https://doi.org/10.1111/rssc.12343 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​An algorithm for computing Fréchet means on the sphere​
    Eichfelder, G.; Hotz, T.   & Wieditz, J.​ (2019) 
    Optimization Letters, 13(7) pp. 1523​-1533​.​ DOI: https://doi.org/10.1007/s11590-019-01415-y 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Real sparse fast DCT for vectors with short support​
    Bittens, S. & Plonka, G. ​ (2019) 
    Linear Algebra and its Applications, 582 pp. 359​-390​.​ DOI: https://doi.org/10.1016/j.laa.2019.08.006 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Random Function Iterations for Consistent Stochastic Feasibility​
    Hermer, N.; Luke, D. R.   & Sturm, A. ​ (2019) 
    Numerical Functional Analysis and Optimization, 40(4) pp. 386​-420​.​ DOI: https://doi.org/10.1080/01630563.2018.1535507 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Smudge Noise for Quality Estimation of Fingerprints and its Validation​
    Richter, R.; Gottschlich, C. ; Mentch, L.; Thai, D. H. & Huckemann, S. F. ​ (2019) 
    IEEE Transactions on Information Forensics and Security, 14(8) pp. 1963​-1974​.​ DOI: https://doi.org/10.1109/TIFS.2018.2889258 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Reconstruction of stationary and non-stationary signals by the generalized Prony method​
    Plonka, G. ; Stampfer, K. & Keller, I.​ (2019) 
    Analysis and Applications, 17(2) pp. 179​-210​.​ DOI: https://doi.org/10.1142/S0219530518500240 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method​
    Zhang, R. & Plonka, G. ​ (2019) 
    Advances in Computational Mathematics, 45(3) pp. 1657​-1687​.​ DOI: https://doi.org/10.1007/s10444-019-09692-y 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Optimal Transport: Fast Probabilistic Approximation with Exact Solvers​
    Sommerfeld, M.; Schrieber, J.; Zemel, Y. & Munk, A. ​ (2019) 
    Journal of Machine Learning Research, 20(105) pp. 1​-23​.​
    ​Details 
  • 2019 | Journal Article
    ​ ​Sparse power factorization: balancing peakiness and sample complexity​
    Geppert, J.; Krahmer, F.   & Stöger, D.​ (2019) 
    Advances in Computational Mathematics, 45(3) pp. 1711​-1728​.​ DOI: https://doi.org/10.1007/s10444-019-09698-6 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Dominance for multi-objective robust optimization concepts​
    Botte, M. & Schöbel, A. ​ (2019) 
    European Journal of Operational Research, 273(2) pp. 430​-440​.​ DOI: https://doi.org/10.1016/j.ejor.2018.08.020 
    ​Details  DOI 
  • 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 
    ​Details  DOI 
  • 2019 | Journal Article | 
    ​ ​Upper and lower bounds for the Bregman divergence​
    Sprung, B.​ (2019) 
    Journal of Inequalities and Applications, 2019(1) art. 4​.​ DOI: https://doi.org/10.1186/s13660-018-1953-y 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper | 
    ​ ​Multiscale Change-point Segmentation: Beyond Step Functions​
    Li, H. ; Guo, Q. & Munk, A. ​ (2019) 
    Electronic Journal of Statistics, 13(2) pp. 3254​-3296​.​ DOI: https://doi.org/10.1214/19-EJS1608 
    ​Details  DOI  arXiv 
  • 2019 | Journal Article | 
    ​ ​A Note on a Conjecture by Khabibullin​
    Bërdëllima, A.​ (2019) 
    Journal of Mathematical Sciences, 243(6) pp. 825​-834​.​ DOI: https://doi.org/10.1007/s10958-019-04580-8 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper | 
    ​ ​Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications​
    Tameling, C.; Sommerfeld, M. & Munk, A. ​ (2019) 
    The Annals of Applied Probability, 29(5) pp. 2744​-2781​.​ DOI: https://doi.org/10.1214/19-AAP1463 
    ​Details  DOI  arXiv 
  • 2019 | Journal Article | Research Paper | 
    ​ ​Molecular contribution function in RESOLFT nanoscopy​
    Frahm, L.; Keller-Findeisen, J. ; Alt, P.; Schnorrenberg, S. ; del Álamo Ruiz, M.; Aspelmeier, T.   & Munk, A.  et al.​ (2019) 
    Optics Express, 27(15) pp. 21956​.​ DOI: https://doi.org/10.1364/OE.27.021956 
    ​Details  DOI  PMID  PMC 
  • 2018 | Journal Article
    ​ ​Union Averaged Operators with Applications to Proximal Algorithms for Min-Convex Functions​
    Dao, M. N. & Tam, M. K. ​ (2018) 
    Journal of Optimization Theory and Applications, 181(1) pp. 61​-94​.​ DOI: https://doi.org/10.1007/s10957-018-1443-x 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A Lyapunov-type approach to convergence of the Douglas–Rachford algorithm for a nonconvex setting​
    Dao, M. N. & Tam, M. K. ​ (2018) 
    Journal of Global Optimization, 73(1) pp. 83​-112​.​ DOI: https://doi.org/10.1007/s10898-018-0677-3 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Computation of Adaptive Fourier Series by Sparse Approximation of Exponential Sums​
    Plonka, G.   & Pototskaia, V.​ (2018) 
    The Journal of Fourier Analysis and Applications, 25(4) pp. 1580​-1608​.​ DOI: https://doi.org/10.1007/s00041-018-9635-1 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Implicit Error Bounds for Picard Iterations on Hilbert Spaces​
    Luke, D. R. ; Thao, N. H.   & Tam, M. K. ​ (2018) 
    Vietnam Journal of Mathematics, 46(2) pp. 243​-258​.​ DOI: https://doi.org/10.1007/s10013-018-0279-x 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain​
    Beinert, R.   & Plonka, G. ​ (2018) 
    Applied and Computational Harmonic Analysis, 45(3) pp. 505​-525​.​ DOI: https://doi.org/10.1016/j.acha.2016.12.002 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Vector-Valued Multibang Control of Differential Equations​
    Clason, C.; Tameling, C. & Wirth, B.​ (2018) 
    SIAM Journal on Control and Optimization, 56(3) pp. 2295​-2326​.​ DOI: https://doi.org/10.1137/16M1104998 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Higher order convergence rates for Bregman iterated variational regularization of inverse problems​
    Sprung, B. & Hohage, T. ​ (2018) 
    Numerische Mathematik, 141(1) pp. 215​-252​.​ DOI: https://doi.org/10.1007/s00211-018-0987-x 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A feasibility approach for constructing combinatorial designs of circulant type​
    Aragón Artacho, F. J.; Campoy, R.; Kotsireas, I. & Tam, M. K. ​ (2018) 
    Journal of Combinatorial Optimization, 35(4) pp. 1061​-1085​.​ DOI: https://doi.org/10.1007/s10878-018-0250-5 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Confidence Regions for Spatial Excursion Sets From Repeated Random Field Observations, With an Application to Climate​
    Sommerfeld, M.; Sain, S. & Schwartzman, A.​ (2018) 
    Journal of the American Statistical Association, 113(523) pp. 1327​-1340​.​ DOI: https://doi.org/10.1080/01621459.2017.1341838 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Sparse fast DCT for vectors with one-block support​
    Bittens, S. & Plonka, G. ​ (2018) 
    Numerical Algorithms, 82(2) pp. 663​-697​.​ DOI: https://doi.org/10.1007/s11075-018-0620-1 
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Sparse Power Factorization With Refined Peakiness Conditions​
    Stoger, D.; Geppert, J. & Krahmer, F.​ (2018)
    pp. 816​-820. ​IEEE/SP Workshop on Statistical Signal Processing (SSP)​, Freiburg im Breisgau. DOI: https://doi.org/10.1109/SSP.2018.8450850 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​On Khabibullin's conjecture about pair of integral inequalities​
    Berdellima, A.​ (2018) 
    Ufimskij Matematičeskij Žurnal, 10(3) pp. 117​-130​.​ DOI: https://doi.org/10.13108/2018-10-3-117 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs)​
    Ernst, O. G.; Sprungk, B. & Tamellini, L.​ (2018) 
    SIAM Journal on Numerical Analysis, 56(2) pp. 877​-905​.​ DOI: https://doi.org/10.1137/17M1123079 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A deterministic sparse FFT for functions with structured Fourier sparsity​
    Bittens, S.; Zhang, R. & Iwen, M. A.​ (2018) 
    Advances in Computational Mathematics, 45(2) pp. 519​-561​.​ DOI: https://doi.org/10.1007/s10444-018-9626-4 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Set regularities and feasibility problems​
    Kruger, A. Y.; Luke, D. R.   & Thao, N. H. ​ (2018) 
    Mathematical Programming, 168 pp. 279​-311​.​ DOI: https://doi.org/10.1007/s10107-016-1039-x 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Symbolic Computation with Monotone Operators​
    Lauster, F.; Luke, D. R.   & Tam, M. K. ​ (2018) 
    Set-Valued and Variational Analysis, 26(2) pp. 353​-368​.​ DOI: https://doi.org/10.1007/s11228-017-0418-7 
    ​Details  DOI 
  • 2018 | Journal Article | 
    ​ ​Multiscale Blind Source Separation​
    Behr, M. ; Holmes, C. & Munk, A. ​ (2018) 
    The Annals of Statistics, 46(2) pp. 711​-744​.​ DOI: https://doi.org/10.1214/17-AOS1565 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article | 
    ​ ​Variational multiscale nonparametric regression: Smooth functions​
    Grasmair, M.; Li, H.   & Munk, A. ​ (2018) 
    Annales de l´Institut Henri Poincaré. B, Probability and Statistics, 54(2) pp. 1058​-1097​.​ DOI: https://doi.org/10.1214/17-AIHP832 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article | 
    ​ ​Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings​
    Thao, N. H. ; Tam, M. K.   & Luke, R. ​ (2018) 
    Mathematics of Operations Research, 43(4) pp. 1143​-1176​.​ DOI: https://doi.org/10.1287/moor.2017.0898 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article | 
    ​ ​A convergent relaxation of the Douglas–Rachford algorithm​
    Thao, N. H.​ (2018) 
    Computational Optimization and Applications, 70(3) pp. 841​-863​.​ DOI: https://doi.org/10.1007/s10589-018-9989-y 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​About Subtransversality of Collections of Sets​
    Kruger, A. Y.; Luke, D. R.   & Thao, N. H. ​ (2017) 
    Set-Valued and Variational Analysis, 25(4) pp. 701​-729​.​ DOI: https://doi.org/10.1007/s11228-017-0436-5 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Sparse FFT for Functions with Short Frequency Support​
    Bittens, S.​ (2017) 
    Dolomites Research Notes on Approximation, 10(Special Issue) pp. 43​-55​.​
    ​Details 
  • 2017 | Journal Article
    ​ ​Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems​
    Borwein, J. M.; Li, G. & Tam, M. K. ​ (2017) 
    SIAM Journal on Optimization, 27(1) pp. 1​-33​.​ DOI: https://doi.org/10.1137/15M1045223 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​Identifiability for Blind Source Separation of Multiple Finite Alphabet Linear Mixtures​
    Behr, M.   & Munk, A. ​ (2017) 
    IEEE Transactions on Information Theory, 63(9) pp. 5506​-5517​.​ DOI: https://doi.org/10.1109/TIT.2017.2717586 
    ​Details  DOI  arXiv 
  • 2017 | Journal Article
    ​ ​Bump hunting by topological data analysis​
    Sommerfeld, M.; Heo, G.; Kim, P.; Rush, S. T. & Marron, J. S.​ (2017) 
    Stat, 6(1) pp. 462​-471​.​ DOI: https://doi.org/10.1002/sta4.167 
    ​Details  DOI 
  • 2017 | Conference Paper
    ​ ​Refined performance guarantees for Sparse Power Factorization​
    Geppert, J. A.; Krahmer, F.   & Stoger, D.​ (2017)
    pp. 509​-513. ​2017 International Conference on Sampling Theory and Applications (SampTA)​, Tallinn, Estonia. DOI: https://doi.org/10.1109/SAMPTA.2017.8024391 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Ambiguities in one-dimensional phase retrieval from magnitudes of a linear canonical transform​
    Beinert, R. ​ (2017) 
    ZAMM, 97(9) pp. 1078​-1082​.​ DOI: https://doi.org/10.1002/zamm.201600137 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Inference for Empirical Wasserstein Distances on Finite Spaces​
    Sommerfeld, M. & Munk, A. ​ (2017) 
    Journal of the Royal Statistical Society. Series B, Statistical Methodology, 80(1) pp. 219​-238​.​ DOI: https://doi.org/10.1111/rssb.12236 
    ​Details  DOI  arXiv 
  • 2017 | Journal Article
    ​ ​A Signal Separation Technique for Sub-Cellular Imaging Using Dynamic Optical Coherence Tomography​
    Ammari, H.; Romero, F. & Shi, C.​ (2017) 
    Multiscale Modeling & Simulation, 15(3) pp. 1155​-1175​.​ DOI: https://doi.org/10.1137/16M1090387 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Regularity properties of non-negative sparsity sets​
    Tam, M. K. ​ (2017) 
    Journal of Mathematical Analysis and Applications, 447(2) pp. 758​-777​.​ DOI: https://doi.org/10.1016/j.jmaa.2016.10.040 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​Norm bounds and underestimators for unconstrained polynomial integer minimization​
    Behrends, S.; Hübner, R. & Schöbel, A. ​ (2017) 
    Mathematical Methods of Operations Research, 87(1) pp. 73​-107​.​ DOI: https://doi.org/10.1007/s00186-017-0608-y 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Deterministic sparse FFT for M-sparse vectors​
    Plonka, G. ; Wannenwetsch, K. ; Cuyt, A. & Lee, W.-s.​ (2017) 
    Numerical Algorithms, 78(1) pp. 133​-159​.​ DOI: https://doi.org/10.1007/s11075-017-0370-5 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Singular values of the attenuated photoacoustic imaging operator​
    Elbau, P.; Scherzer, O. & Shi, C.​ (2017) 
    Journal of Differential Equations, 263(9) pp. 5330​-5376​.​ DOI: https://doi.org/10.1016/j.jde.2017.06.018 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A region-based easy-path wavelet transform for sparse image representation​
    Budinich, R.​ (2017) 
    International Journal of Wavelets, Multiresolution and Information Processing, 15(05) pp. 1750045​.​ DOI: https://doi.org/10.1142/S021969131750045X 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A sparse fast Fourier algorithm for real non-negative vectors​
    Plonka, G.   & Wannenwetsch, K. ​ (2017) 
    Journal of Computational and Applied Mathematics, 321 pp. 532​-539​.​ DOI: https://doi.org/10.1016/j.cam.2017.03.019 
    ​Details  DOI 
  • 2017 | Journal Article | 
    ​ ​DOTmark - A Benchmark for Discrete Optimal Transport​
    Schrieber, J.; Schuhmacher, D.   & Gottschlich, C. ​ (2017) 
    IEEE Access, 5 pp. 271​-282​.​ DOI: https://doi.org/10.1109/ACCESS.2016.2639065 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Non-negativity constraints in the one-dimensional discrete-time phase retrieval problem​
    Beinert, R. ​ (2016) 
    Information and Inference, pp. iaw018​.​ DOI: https://doi.org/10.1093/imaiai/iaw018 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation​
    Huckemann, S. ; Kim, K.-R.; Munk, A. ; Rehfeldt, F. ; Sommerfeld, M.; Weickert, J. & Wollnik, C.​ (2016) 
    Bernoulli, 22(4) pp. 2113​-2142​.​ DOI: https://doi.org/10.3150/15-BEJ722 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​On a Generalization of the Preconditioned Crank–Nicolson Metropolis Algorithm​
    Rudolf, D.   & Sprungk, B.​ (2016) 
    Foundations of Computational Mathematics, 18(2) pp. 309​-343​.​ DOI: https://doi.org/10.1007/s10208-016-9340-x 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​One-Dimensional Phase Retrieval with Additional Interference Intensity Measurements​
    Beinert, R. ​ (2016) 
    Results in Mathematics, 72(1-2) pp. 1​-24​.​ DOI: https://doi.org/10.1007/s00025-016-0633-9 
    ​Details  DOI 
  • 2016 | Journal Article | Research Paper
    ​ ​Regularity of Collections of Sets and Convergence of Inexact Alternating Projections​
    Kruger, A. Y. & Thao, N. H. ​ (2016) 
    Journal of Convex Analysis, 23(3) pp. 823​-847​.​
    ​Details 
  • 2016 | Journal Article | 
    ​ ​FDR-control in multiscale change-point segmentation​
    Li, H. ; Munk, A.   & Sieling, H. ​ (2016) 
    Electronic Journal of Statistics, 10(1) pp. 918​-959​.​ DOI: https://doi.org/10.1214/16-EJS1131 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Ambiguities in One-Dimensional Discrete Phase Retrieval from Fourier Magnitudes​
    Beinert, R.   & Plonka-Hoch, G. ​ (2015) 
    Journal of Fourier Analysis and Applications, 21(6) pp. 1169​-1198​.​ DOI: https://doi.org/10.1007/s00041-015-9405-2 
    ​Details  DOI 
  • 2015 | Conference Paper
    ​ ​Justifying Tensor-Driven Diffusion from Structure-Adaptive Statistics of Natural Images​
    Peter, P.; Weickert, J.; Munk, A. ; Krivobokova, T.   & Li, H. ​ (2015)
    In:Tai, Xue-Cheng​ (Ed.), ​Energy minimization methods in computer vision and pattern recognition pp. 263​-277. , Hong Kong, China.
    Cham​: Springer. DOI: https://doi.org/10.1007/978-3-319-14612-6_20 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​An Induction Theorem and Nonlinear Regularity Models​
    Khanh, P. Q.; Kruger, A. Y. & Thao, N. H. ​ (2015) 
    SIAM Journal on Optimization, 25(4) pp. 2561​-2588​.​ DOI: https://doi.org/10.1137/140991157 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​A deterministic sparse FFT algorithm for vectors with small support​
    Plonka-Hoch, G.   & Wannenwetsch, K. ​ (2015) 
    Numerical Algorithms, 71(4) pp. 889​-905​.​ DOI: https://doi.org/10.1007/s11075-015-0028-0 
    ​Details  DOI 
  • 2015 | Conference Paper
    ​ ​Nonuniform sparse recovery with random convolutions​
    James, D. & Rauhut, H.​ (2015)
    ​Sampling Theory and Applications (SampTA) pp. 34​-38. ​2015 International Conference on Sampling Theory and Applications (SampTA)​, Washington, DC. DOI: https://doi.org/10.1109/SAMPTA.2015.7148845 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​Computing and analyzing recoverable supports for sparse reconstruction​
    Kruschel, C. & Lorenz, D. A.​ (2015) 
    Advances in Computational Mathematics, 41(6) pp. 1119​-1144​.​ DOI: https://doi.org/10.1007/s10444-015-9403-6 
    ​Details  DOI  WoS 
  • 2015 | Journal Article | 
    ​ ​Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized X-ray CT​
    Jørgensen, J.; Kruschel, C. & Lorenz, D. A.​ (2015) 
    Inverse Problems in Science and Engineering, 23(8) pp. 1283​-1305​.​ DOI: https://doi.org/10.1080/17415977.2014.986724 
    ​Details  DOI 
  • 2014 | Journal Article | Research Paper
    ​ ​Quantitative Characterizations of Regularity Properties of Collections of Sets​
    Kruger, A. Y. & Thao, N. H. ​ (2014) 
    Journal of Optimization Theory and Applications, 164(1) pp. 41​-67​.​ DOI: https://doi.org/10.1007/s10957-014-0556-0 
    ​Details  DOI 

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