Research

I am currently a member of the research group Uncertainty Quantification and Inverse Problems at the Lappeenranta-Lahti University of Technology.

I am a former member of the research group Inverse Problems and have received my doctoral degree from the Universität Duisburg-Essen. My supervisor was Prof. Christian Clason.

I have been working on nonparametric Bayesian inverse problems with non-Gaussian noise or prior distribution. This includes the rigorous statistical interpretation of variational regularisation with l¹-discrepancy term in the context of Bayesian inference, as well as generalising the notion of modes in infinite-dimensional spaces with regard to probability distributions that exhibit discontinuities such as distributions with compact support.

My research interests are (Bayesian) inverse problems with infinite-dimensional non-Gaussian noise or discontinuous prior distribution, as well as Gaussian approximations of the posterior distribution in nonlinear Bayesian inverse problems.

Academic career

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

 

Publications

• Dissertation:
  Nonparametric Bayesian Inverse Problems with Laplacian Noise,
  Fakultät für Mathematik, Universität Duisburg-Essen, 2019.
• 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.
• Master's thesis (in German):
  Weak spectral synthesis on polynomial hypergroups,
  Department of Mathematics, Technische Universität München, 2012.

Recent Talks

• 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,
  University of Graz, Graz, Austria, 28 September 2017.
• Bayesian inverse problems with Laplacian noise,
  Applied Inverse Problems 2017, Zhejiang University, Hangzhou, China, 29 May-2 June 2017.