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


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  • 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 
  • 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 | 
    ​ ​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 | 
    ​ ​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 | 
    ​ ​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 | 
    ​ ​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 | 
    ​ ​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 

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