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