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Deutsch Intern
  • Group photo of the Team Inverse Problems
Inverse Problems

Research Assistant

Dr. Remo Kretschmann

Research Assistant
Professorship at the Chair of Mathematics IX (Inverse Problems)
Emil-Fischer-Straße 30
97074 Würzburg
Building: 30 (Mathematik West)
Room: 00.016

Research Interests

My research interests are, i.a., statistical and Bayesian inverse problems with high- or infinite-dimensional parameter space and regularisation theory, in particular the rigorous statistical interpretation of variational regularisation methods in the context of nonparametric Bayesian inference.

 

Education 

August 2019 Doctorate in Mathematics, Universität Duisburg-Essen
November 2012 Master of Science in Mathematics, Technische Universität München
November 2009 Bachelor of Science in Mathematics, Technische Universität München

Preprints

  • Remo Kretschmann, Daniel Wachsmuth, Frank Werner:
    Optimal regularized hypothesis testing in statistical inverse problems
    (2022), arXiv: 2212.12897 (pdf).

  • Remo Kretschmann:
    Minimizers of the Onsager-Machlup functional are strong posterior modes
    (2022), arXiv: 2212.04275 (pdf).

Refereed Articles

Theses

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Conferences

  • Bayesian hypothesis testing in statistical inverse problems,
    Imaging with Uncertainty Quantification, Helsingør, Denmark, 27-29 September 2022.

  • Optimal regularized hypothesis testing in statistical inverse problems,
    Symposium on Inverse Problems: From experimental data to models and back, Universität Potsdam, Potsdam, Germany, 19-21 September 2022.

  • Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems,
    13th International Conference on Monte Carlo Methods and Applications, Universität Mannheim, online, 16-20 August 2021.

  • Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems,
    Inverse Days 2020, Finnish Meteorological Institute/University of Helsinki, online, 14-18 December 2020.

  • Generalised modes in Bayesian inverse problems,
    25th Inverse Days, University of Jyväskylä, Jyväskylä, Finland, 16-18 December 2019.

  • Generalized modes in Bayesian inverse problems (poster presentation),
    12th International Conference on Bayesian Nonparametrics, University of Oxford, Oxford, United Kingdom, 24-28 June 2019.

  • Generalized modes in Bayesian inverse problems,
    Chemnitz Symposium on Inverse Problems 2018, Technische Universität Chemnitz, Chemnitz, Germany, 27-28 September 2018.

  • Bayesian inverse problems with non-Gaussian noise (poster presentation),
    38th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, The Alan Turing Institute, London, United Kingdom, 02-06 July 2018.

  • Bayesian inverse problems with Laplacian noise,
    Applied Inverse Problems 2017, Zhejiang University, Hangzhou, China, 29 May-2 June 2017.

Seminars

  • Generalised modes in Bayesian inverse problems,
    University of Helsinki, Helsinki, Finland, 9 December 2019.

  • Bayesian inverse problems with Laplacian noise,
    University of Graz, Graz, Austria, 28 September 2017.

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2021 Course on Bayesian inverse problems
2020 Intensive course on Bayesian inverse problems
2018 Master seminar on Inverse problems
2017–2018 Tutorial on Inverse problems
2017 Tutorial on Analysis I
2016–2017 Tutorials on Regularisation of Inverse problems and Analysis II
2016 Tutorial on Iterative methods for systems of linear equations and eigenvalue problems
2015–2016 Tutorial on Inverse problems
2015 Tutorial on Functional analysis
2014–2015 Tutorial on Inverse problems
2014 Tutorial on Scientific computing for differential equations
2011 Tutorials on Analysis I and Higher mathematics for civil engineers 2