Bayesian statistics
Bayesian inverse problems — Gaussian Process Regression

Uncertainty Quantification
Model parameter estimation — Sensitivity analysis — Informed decisions

Subspace-based dimension reduction
Active subspaces




PhD thesis. Active Subspaces in Bayesian Inverse Problems. Technical University Munich. – link

TP., M., Wallin, J., Wohlmuth, B. (2020). Generalized bounds for active subspaces. Electronic Journal of Statistics, 14(1), 917–943. – journal, arXiv

Bittner, D., TP., M., Mattis, S., Wohlmuth, B., & Chiogna, G. (2020). Identifying relevant hydrological and catchment properties in active subspaces: An inference study of a lumped karst aquifer model. Advances in Water Resources, 135, 103472. – journal


TP., M., Bittner, D., Mattis, S., Chiogna, G., & Wohlmuth, B. (2019). Bayesian calibration and sensitivity analysis for a karst aquifer model using active subspaces. Water Resources Research, 55(8), 7086–7107. – journal, arXiv

TP., M., Mattis, S., Gupta, S., Deusner, C., & Wohlmuth, B. (2019). Efficient parameter estimation for a methane hydrate model with active subspaces. Computational Geosciences, 23(2), 355–372. – journal (full-text view-only), arXiv


Master thesis. Brownian Motion and the Dirichlet Problem. Ludwig-Maximilians-Universität München (LMU). – pdf


Bachelor thesis. N.V. Krylov’s Proof of the de Moivre-Laplace Theorem. University of Applied Sciences Munich (HM). – pdf

Not published

TP., M. (2018). A probabilistic framework for approximating functions in active subspaces. – arXiv

Talks, Conferences, etc.

CAMERA Workshop on Autonomous Discovery in Science and Engineering (website). Autonomous Experiments for Neutron Three-Axis Spectrometers (TAS) with Log-Gaussian Processes. April 2021. – extended abstract, post

SIAM UQ 2020. Solving a Bayesian Inverse Problem for a Karst Aquifer Model with Active Subspaces. Garching. March 2020. (Canceled due to SARS-CoV-2.)

Statistics seminar. Active Subspaces in Bayesian Inverse Problems. Department of Statistics, Lund University, Sweden. May 2019.

M2 Oberseminar. Active subspaces for Bayesian inversion, Application to a methane hydrate model. Garching. March 2018. – post, slides