If you are interested in doing a Semester or a Master project @ CSQI, please don’t hesitate to contact us.
Here is a list (incomplete) of topics for the Spring semester 2025:
- Smooth bounded invertible neural networks for approximation of Fokker-Planck equations
- Dynamical low-rank methods for data assimilation in hemodynamic applications
- Dynamical Low-Rank Tensor Approximations for Random time-dependent PDEs
- Bayesian static parameter estimation for partially observed diffusions via multilevel Monte Carlo
- Schrödinger bridge techniques for sampling complex distributions
- Review of polynomial approximation results for random/parametric elliptic PDEs
- Gradient-enhanced Bayesian Optimization with application to PDE-constrained optimization
- Numerical Schemes for Probability Flow ODEs (supervised by Hossein Gorji, EMPA)
- Langevin Dynamics for Optimal Transport (supervised by Hossein Gorji, EMPA)