Frank Werner

 
Staff Status
unigoe
 

1-15 of 15
 
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  • 2023 Preprint
    ​ ​Adaptive minimax optimality in statistical inverse problems via SOLIT - Sharp Optimal Lepskii-Inspired Tuning​
    Li, H.  & Werner, F. ​ (2023). DOI: https://doi.org/10.48550/arxiv.2304.10356 
    Details  DOI  arXiv 
  • 2023 Journal Article
    ​ ​Adaptive minimax optimality in statistical inverse problems via SOLIT—Sharp Optimal Lepskiĭ-Inspired Tuning​
    Li, H.   & Werner, F. ​ (2023) 
    Inverse Problems40(2) art. 025005​.​ DOI: https://doi.org/10.1088/1361-6420/ad12e0 
    Details  DOI 
  • 2021 Journal Article | Research Paper
    ​ ​isoSTED microscopy with water-immersion lenses and background reduction​
    Siegmund, R.; Werner, F. ; Jakobs, S. ; Geisler, C.   & Egner, A. ​ (2021) 
    Biophysical Journal120(16) pp. 3303​-3314​.​ DOI: https://doi.org/10.1016/j.bpj.2021.05.031 
    Details  DOI 
  • 2020 Journal Article | Research Paper | 
    ​ ​Variational Multiscale Nonparametric Regression: Algorithms and Implementation​
    del Alamo, M.; Li, H. ; Munk, A.   & Werner, F. ​ (2020) 
    Algorithms13(11) pp. 296​.​ DOI: https://doi.org/10.3390/a13110296 
    Details  DOI 
  • 2020 Journal Article | 
    ​ ​Multidimensional multiscale scanning in exponential families: Limit theory and statistical consequences​
    König, C.; Munk, A.   & Werner, F. ​ (2020) 
    The Annals of Statistics48(2).​ DOI: https://doi.org/10.1214/18-AOS1806 
    Details  DOI 
  • 2020 Book Chapter
    ​ ​Photonic Imaging with Statistical Guarantees: From Multiscale Testing to Multiscale Estimation​
    Munk, A. ; Proksch, K. ; Li, H.  & Werner, F. ​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, D. Russell​ (Eds.), Nanoscale Photonic Imaging pp. 283​-312. (Vol. 134). ​Cham: ​Springer International Publishing. DOI: https://doi.org/10.1007/978-3-030-34413-9_11 
    Details  DOI 
  • 2020 Journal Article | 
    ​ ​Empirical risk minimization as parameter choice rule for general linear regularization methods​
    Li, H.   & Werner, F. ​ (2020) 
    Annales de l´Institut Henri Poincaré. B, Probability and Statistics56(1) pp. 405​-427​.​ DOI: https://doi.org/10.1214/19-AIHP966 
    Details  DOI 
  • 2019 Journal Article
    ​ ​Convergence analysis of (statistical) inverse problems under conditional stability estimates​
    Werner, F.   & Hofmann, B.​ (2019) 
    Inverse Problems36(1) pp. 015004​.​ DOI: https://doi.org/10.1088/1361-6420/ab4cd7 
    Details  DOI 
  • 2018 Journal Article | 
    ​ ​Multiscale scanning in inverse problems​
    Proksch, K. ; Werner, F.   & Munk, A. ​ (2018) 
    The Annals of Statistics46(6B) pp. 3569​-3602​.​ DOI: https://doi.org/10.1214/17-AOS1669 
    Details  DOI  Preprint 
  • 2018 Journal Article
    ​ ​Bump detection in heterogeneous Gaussian regression​
    Enikeeva, F.; Munk, A.   & Werner, F. ​ (2018) 
    Bernoulli24(2) pp. 1266​-1306​.​ DOI: https://doi.org/10.3150/16-BEJ899 
    Details  DOI  Preprint 
  • 2016 Journal Article
    ​ ​Inverse Problems with Poisson Data: statistical regularization theory, applications and algorithms​
    Hohage, T.   & Werner, F. ​ (2016) 
    Inverse Problems32.​ DOI: https://doi.org/10.1088/0266-5611/32/9/093001 
    Details  DOI 
  • 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 Analysis54(1) pp. 341​-360​.​ DOI: https://doi.org/10.1137/15M1022252 
    Details  DOI 
  • 2015 Journal Article | Letter Note | 
    ​ ​Discussion of "Hypotheses testing by convex optimization"​
    Munk, A.   & Werner, F. ​ (2015) 
    Electronic Journal of Statistics9(2) pp. 1720​-1722​.​ DOI: https://doi.org/10.1214/14-EJS980 
    Details  DOI  WoS 
  • 2014 Journal Article
    ​ ​Convergence Rates for Inverse Problems with Impulsive Noise​
    Hohage, T.   & Werner, F. ​ (2014) 
    SIAM Journal on Numerical Analysis52(3) pp. 1203​-1221​.​ DOI: https://doi.org/10.1137/130932661 
    Details  DOI 
  • 2013 Journal Article | 
    ​ ​Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data​
    Hohage, T.   & Werner, F. ​ (2013) 
    Numerische Mathematik123(4) pp. 745​-779​.​ DOI: https://doi.org/10.1007/s00211-012-0499-z 
    Details  DOI 

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