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## Remo Kretschmann## Researcher in MathematicsEmail: Enable JavaScript to see email address. ORCID: 0000-0002-4856-955X ## About meI am part of the research group Uncertainty Quantification at the Institute of Mathematics of the University of Potsdam. Moreover, I am associated with project A04 of the collaborative research centre SFB 1294 Data Assimilation. I have obtained my doctoral degree from the Universität Duisburg-Essen. My supervisor has been Prof. Christian Clason. Before, I have studied mathematics at the Technische Universität München. | ||||||||||||||||||||||||||

## Research interests- Statistical and Bayesian inverse problems with high- or infinite-dimensional parameter space, in particular the statistical properties of variational regularisation methods in the context of nonparametric Bayesian inference
- Inverse problems with non-Gaussian noise, impulsive noise models, imaging
- Uncertainty quantification, Gaussian approximation of the posterior distribution for high- or infinite-dimensional inverse problems
- Hypothesis testing for statistical inverse problems via regularisation or Bayesian inference
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## Experience
## Education
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## Preprints-
Remo Kretschmann, Frank Werner:
**Maximum a posteriori testing in statistical inverse problems**(pdf).
## Publications-
Remo Kretschmann, Daniel Wachsmuth, Frank Werner:
**Optimal regularized hypothesis testing in statistical inverse problems**(pdf) Inverse Problems 40 (2024), 015013. -
Remo Kretschmann:
**Are minimizers of the Onsager–Machlup functional strong posterior modes?**(pdf) SIAM/ASA Journal on Uncertainty Quantification 11.4 (2023), 1105–1138. -
Tapio Helin, Remo Kretschmann:
**Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems**(pdf), Numerische Mathematik 150 (2022), 521–549. -
Christian Clason, Tapio Helin, Remo Kretschmann, Petteri Piiroinen:
**Generalized modes in Bayesian inverse problems**(pdf), SIAM/ASA Journal on Uncertainty Quantification 7.2 (2019), 652–684.
## Theses-
Dissertation:
**Nonparametric Bayesian Inverse Problems with Laplacian Noise**(pdf), Fakultät für Mathematik, Universität Duisburg-Essen, 2019. -
Master’s thesis (in German):
**Weak spectral synthesis on polynomial hypergroups**(pdf), Department of Mathematics, Technische Universität München, 2012.
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## Software-
A **direct sampler**for probability distributions with density p(x) = exp(-a*x^2 - abs(b*x - c)), written in Octave (zip archive, 2.0 kB).
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## Recent talks## Conferences-
**Bayesian hypothesis testing in statistical inverse problems**, 11th Applied Inverse Problems Conference, Göttingen, Germany, 4-8 September 2023. -
**Bayesian hypothesis testing in statistical inverse problems**, 2nd HKSIAM Biennial Conference, Hong Kong, China, 28 August-1 September 2023. -
**Optimal regularized hypothesis testing in statistical inverse problems**, Computational Science and Engineering, Amsterdam, Netherlands, 27 February-3 March 2023. -
**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-
**Optimal and Bayesian hypothesis testing in statistical inverse problems**, Numerical analysis of stochastic and deterministic partial differential equations, Freie Universität Berlin, Germany, 28 November 2022. -
**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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## Teaching
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