- On efficient methods and error bounds for rare event estimation. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
- Variance reduction with multilevel estimators. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
- Exploring and exploiting hierarchies in Bayesian inverse problems. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
Overview | People | Publications | Teaching | Supervised Theses | Jobs
Supervised Theses
We are always looking for 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
- Consensus-based rare event estimation. , 2022 more… BibTeX
- Physics-informed Neural Networks in Bayesian Inversion. Master thesis, 2022 more… BibTeX
- Physics-informed neural networks and finite differences augmented with neural networks for solving differential equations. Master thesis, 2022 more… BibTeX
- Bayesian Reconstruction and Optimal Experimental Design for Multispectral Optoacoustic Tomography. Master thesis, 2022 more… BibTeX
- Galerkin Neural Networks. Master thesis, 2022 more… BibTeX
- Analysis of the Karhunen-Loève truncation error for rare event estimation. Master thesis, 2021 more… BibTeX
- Gaussian process surrogates for Bayesian parameter identification in computational oncology. Master thesis, 2018 more… BibTeX
- Particle Methods for Deep Learning, Supervisor. Master thesis, 2018 more… BibTeX
- Parameterized solution of Karhunen-Loeve Eigenproblems with Reduced Basis Methods in Uncertainty Quantification. Master thesis, 2017 more… BibTeX
- Chladni Plate - Eigenvalue Problem of the Biharmonic Operator. Bachelor thesis, 2022 more… BibTeX
- Network-based inference for the prediction of the COVID-19 spread. Bachelor thesis, 2022 more… BibTeX
- Multigrid Methods for the Approximate Solution of Partial Differential Equations. Bachelor thesis, 2021 more… BibTeX
- Hierarchical Neural Networks for Rare Event Estimation. Bachelor thesis, 2020 more… BibTeX
- Stein Variational Gradient Descent for Rare Event Estimation. Bachelor thesis, 2020 more… BibTeX
- Adaptive Metropolis for Bayesian Inference in Crystallography. Bachelor thesis, 2019 more… BibTeX
- Approximation of Dynamical Systems with Neural Networks. Bachelor thesis, 2019 more… BibTeX
- Efficient Implementation of the Ising Model and Image Denoising. Bachelor thesis, 2019 more… BibTeX
- Iterative Solvers for Discretized PDEs. Bachelor thesis, 2019 more… BibTeX
- Visual SLAM using artificial visual markers. Bachelor thesis, 2019 more… BibTeX
- Neural Networks as a Method for Solving ODEs. Bachelor thesis, 2018 more… BibTeX
- On multilevel algorithms for the estimation of failure probabilities and rare event simulation. Bachelor thesis, 2018 more… BibTeX
- Sequential Monte Carlo for time-dependent Bayesian Inverse Problems. Bachelor thesis, 2018 more… BibTeX