Theses

We are always looking for talented and motivated students who want to write a thesis or carry out a term project in Uncertainty Quantification, Scientific Computing or Numerical Analysis. As prerequisite you should have completed a course (e.g. MA5348, MA9804, MA9803) or seminar (Bachelor, Master) offered by the group (see teaching page). Please contact Prof. Ullmann by email for an appointment to discuss possible topics.

PhD Theses

2021

  • Schaden, Daniel: Variance reduction with multilevel estimators. Dissertation, 2021 more…
  • Wagner, Fabian: On efficient methods and error bounds for rare event estimation. Dissertation, 2021 more…

2019

  • Latz, Jonas: Exploring and exploiting hierarchies in Bayesian inverse problems. Dissertation, 2019 more…

Master's Theses

2022

  • Daniel Fischer: Galerkin Neural Networks. Master thesis, 2022 more…
  • Konstantin Althaus: Consensus-based rare event estimation. , 2022 more…
  • Laura Beckmann: Physics-informed Neural Networks in Bayesian Inversion. Master thesis, 2022 more…
  • Manuel Gehmeyr: Bayesian Reconstruction and Optimal Experimental Design for Multispectral Optoacoustic Tomography. Master thesis, 2022 more…
  • Tanja Wurdack: Physics-informed neural networks and finite differences augmented with neural networks for solving differential equations. Master thesis, 2022 more…

2021

  • Tobias Blindganser: Analysis of the Karhunen-Loève truncation error for rare event estimation. Master thesis, 2021 more…

2018

  • Fabian Wagner: Particle Methods for Deep Learning, Supervisor. Master thesis, 2018 more…
  • Sabrina Balzer: Gaussian process surrogates for Bayesian parameter identification in computational oncology. Master thesis, 2018 more…

2017

  • Marvin Eisenberger: Parameterized solution of Karhunen-Loeve Eigenproblems with Reduced Basis Methods in Uncertainty Quantification. Master thesis, 2017 more…

Bachelor's Theses

2022

  • Beatrix Rahnsch: Network-based inference for the prediction of the COVID-19 spread. Bachelor thesis, 2022 more…
  • Lino Marschall: Chladni Plate - Eigenvalue Problem of the Biharmonic Operator. Bachelor thesis, 2022 more…

2021

  • David Niederkofler: Multigrid Methods for the Approximate Solution of Partial Differential Equations. Bachelor thesis, 2021 more…

2020

  • Tobias Neubauer: Hierarchical Neural Networks for Rare Event Estimation. Bachelor thesis, 2020 more…
  • Vivien Wuwer: Stein Variational Gradient Descent for Rare Event Estimation. Bachelor thesis, 2020 more…

2019

  • Christian Dietz: Iterative Solvers for Discretized PDEs. Bachelor thesis, 2019 more…
  • Joshua Ekaputra: Approximation of Dynamical Systems with Neural Networks. Bachelor thesis, 2019 more…
  • Medeea Horvat: Visual SLAM using artificial visual markers. Bachelor thesis, 2019 more…
  • Samuel Amar: Adaptive Metropolis for Bayesian Inference in Crystallography. Bachelor thesis, 2019 more…
  • Sarah Kreuzer: Efficient Implementation of the Ising Model and Image Denoising. Bachelor thesis, 2019 more…

2018

  • Annabel Huber: Neural Networks as a Method for Solving ODEs. Bachelor thesis, 2018 more…
  • Konstantin Riedl: On multilevel algorithms for the estimation of failure probabilities and rare event simulation. Bachelor thesis, 2018 more…
  • Matthieu Bulté: Sequential Monte Carlo for time-dependent Bayesian Inverse Problems. Bachelor thesis, 2018 more…