
 

Remo Kretschmann
School of Engineering Science
LappeenrantaLahti University of Technology
PO Box 20, 53851 Lappeenranta, FI
Office: 2408
Email: remo.kretschmann@lut.fi
About me
I am a member of the research group Uncertainty Quantification and Inverse Problems at the LappeenrantaLahti University of Technology.
I am a former member of the research group Inverse Problems at the Universität DuisburgEssen.
I have received my doctoral degree from the Universität DuisburgEssen. My supervisor has been Prof. Christian Clason.
Before, I have studied mathematics at the Technische Universität München.
 

My research interests
are, i.a., statistical and Bayesian inverse problems with high or infinitedimensional 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 DuisburgEssen 
November 2012  Master of Science in Mathematics, Technische Universität München 
November 2009  Bachelor of Science in Mathematics, Technische Universität München 
 

Publications
Preprints
Reviewed

Dissertation:
Nonparametric Bayesian Inverse Problems with Laplacian Noise,
Fakultät für Mathematik, Universität DuisburgEssen, 2019, doi:10.17185/duepublico/70452.

Christian Clason, Tapio Helin, Remo Kretschmann, Petteri Piiroinen:
Generalized modes in Bayesian inverse problems,
SIAM/ASA Journal on Uncertainty Quantification 7.2 (2019), 652–684, doi:10.1137/18M1191804.

Master’s thesis (in German):
Weak spectral synthesis on polynomial hypergroups,
Department of Mathematics, Technische Universität München, 2012.
 

Recent talks
Conferences

Nonasymptotic error estimates for the Laplace approximation in Bayesian inverse problems,
26th Inverse Days, Finnish Meteorological Institute/University of Helsinki, online, 1418 December 2020.

Generalised modes in Bayesian inverse problems,
25th Inverse Days, University of Jyväskylä, Jyväskylä, Finland, 1618 December 2019.

Generalized modes in Bayesian inverse problems (poster presentation),
12th International Conference on Bayesian Nonparametrics, University of Oxford, Oxford, United Kingdom, 2428 June 2019.

Generalized modes in Bayesian inverse problems,
Chemnitz Symposium on Inverse Problems 2018, Technische Universität Chemnitz, Chemnitz, Germany, 2728 September 2018.

Bayesian inverse problems with nonGaussian noise (poster presentation),
38th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, The Alan Turing Institute, London, United Kingdom, 0206 July 2018.

Bayesian inverse problems with Laplacian noise,
Applied Inverse Problems 2017, Zhejiang University, Hangzhou, China, 29 May2 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.
 

Teaching
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 
 