External Theses
Overview
Theses by visiting students
The following theses were produced by external students who performed a significant part of their thesis work as visiting students.
List of completed master theses
- Marco Ballesio, "Indirect Inference for Scalar Time-homogeneous Stochastic Differential Equations Based on Moment Expansions", Master Thesis, Politecnico of Torino and Real Collegio Carlo Alberto - KAUST, January 2016
- Alessandro Iania, "Basket option pricing for processes with jumps using sparse grids and Fourier transforms", Master Thesis, Politecnico di Torino / KAUST, December 2015
- Nathan Quadrio, "Multilevel Monte Carlo method for PDEs with fluid dynamic applications", Master Thesis, KAUST, October 2014.
List of completed bachelor theses
- Rayhane Ben Youssef. "Estimating rare event probabilities using multilevel Monte Carlo", Ecole Polytechnique de Tunisie, September 2025
- Salim Ksous, "Optimal Control Problem for Hydrothermal Power Systems using Pontryagin Principle", Ecole Polytechnique de Tunisie, September 2025
- Abderrahmene Ben Romdhane, "Hierarchical Fourier Quadrature for Option Pricing under Rough Heston Models", Ecole Polytechnique de Tunisie, September 2025
- Soumaya Elkantassi, "Fourier Transform Methods for Option Pricing", Ecole Polytechnique de Tunisie, 2015
- Chaouki Ben Said, "Uncertainty quantification in European type contingent claims", Ecole Polytechnique de Tunisie, 2013
- Chiheb Ben Hammouda, "Uncertainty Quantification In Option Pricing", Ecole Polytechnique de Tunisie, 2013
- Nadhir Ben Rached, "Adaptive Monte Carlo Euler Method for Options with Low Regularity Payoffs", Ecole Polytechnique de Tunisie, 2012
Theses by students at the Chair of Mathematics for Uncertainty Quantification, RWTH Aachen
List of completed doctoral theses
- Felix Terhag, "Structure-Exploiting Uncertainty Quantification and Control: Bayesian Inference and Itô SDE Methods from MRI Segmentation to Autonomous Sensing", RWTH Aachen, 2025
- Arved Bartuska, "Hierarchical Methods for Bayesian Optimal Experimental Design", RWTH Aachen, 2025
- Shyam Mohan Subbiah Pillai, "Numerical methods for stochastic optimal control: Applications in rare event estimation and wireless networks", RWTH Aachen, 2025
- Sankarasubramanian Ragunathan, "Higher-order adaptive multilevel Monte Carlo methods for Stochastic Differential Equations", RWTH Aachen, 2024
- Sophia Münker, "Generic importance sampling via stochastic optimal control and dimensionality reduction for stochastic reaction networks", RWTH Aachen, 2024
List of completed master theses
- Mathias Horres, "Weak representation of McKean-Vlasov SDEs using mean-field ODEs", RWTH Aachen, 2025
- Manuel Kleinschmager, "Chance Constrained Optimal Control of Stochastic Differential Equations", RWTH Aachen, 2025
- Noah Oberweis, "Adaptive Random Fourier Features based training for PINNs", RWTH Aachen, 2024
- Maksim Chupin, "Dimensionality Reduction in Filtering for Stochastic Reaction Networks", RWTH Aachen, 2024
- Jonas Nießen, "A Non-Asymptotic Analysis of PINN-Optimization for the Poisson Equation in the Kernel Regime", RWTH Aachen, 2024
- Lisi Liang, "A Comparative Study of Stochastic Gradient Descent and A Random Fourier Features Training Algorithm for Two-layer Neural Networks: Accuracy, Robustness and Spectral Bias", RWTH Aachen, 2024
- Leon Wilcosz, "Hierarchical and Quasi Monte Carlo Techniques for McKean-Vlasov Equations", RWTH Aachen, 2023
- Khaoula Ben Chaabane, "Uncertainty Quantification on Deterministic Forecasts using Itô's Stochastic Differential Equations", RWTH Aachen, 2023
- Yosr Samet, "Numerical Study of Rough Volatility Models with Application to Option Pricing", RWTH Aachen, 2023
- Shyam Mohan Subbiah Pillai, "Importance Sampling Methods for McKean-Vlasov type Stochastic Differential Equations", RWTH Aachen, 2022
- Sophia Münker, "Optimal Control of Importance Sampling Parameters in Monte Carlo Estimators for Stochastic Reaction Networks", RWTH Aachen, 2021