Non-tangential control of the solutions to deterministic and stochastic parabolic Cauchy problems

We study a (stochastic) parabolic Cauchy problem. We first prove that we have a non-tangential control of the solution of the deterministic parabolic Cauchy problem by the tent space norm of the gradient of the solution. This is done by showing boundedness results for several maximal regularity operators and by developing energy solutions in L^2...

Churn prediction in telecommunication

For telecommunication businesses it is important to retain as many customers as possible. For this purpose it could be useful to predict which customers have a high potential to stop their subscription. When a customer leaves the company by stopping the subscription, it is called a customer churn. In this thesis customer churn was predicted for...

Modeling of traffic on fairways: Optimizing the allocation of traffic

There has been a lot of research done into traffic on roads and multiple traffic models have been set up for this type of traffic. A subject that has been largely neglected is the traffic on fairways. The research goal set for my graduation project is to define a model that can simulate the traffic on fairways and use this model to optimize the...

Sparse Representation of Photometric Galaxy Redshift PDFs: A Dictionary Learning Approach

In the past few decades telescopes have given us insight into the structures of the observable universe. Current and future astronomical research investigate problems that concern how these structures have been formed and at which rates cosmic structures grow. The redshift of galaxies plays a fundamental role in this research directions, since...

Minimaliseren van het aantal kruisingen in een multi-level graaf

In deze scriptie bestuderen we het aantal kruisingen in een graaf waarbij de knopen in verschillende horizontale levels verdeeld zijn, ook wel het MLCM (Multi-Level Crossing Minimization) probleem genoemd. Vaak wordt een gerichte graaf afgebeeld als een multi-level graaf. We bekijken een voorbeeld van een gerichte graaf: de stamboom van TU Delft...

Mathematical Modelling and Simulation of Biogrout

Biogrout is a method to reinforce sand and gravel by the production of calcium carbonate. This calcium carbonate is produced using micro-organisms that are either present in the subsoil or injected into it. The micro-organisms are supplied with urea and calcium. Subsequently, they catalyse the hydrolysis of urea, by which carbonate is formed. In...

Modeling geometrical uncertainties for radiotherapy plan optimization without margins

Radiotherapy is one of the methods used to treat cancer. One common approach for radiotherapy is exposing the patient to external beams of high-energy X-ray photons. Using the intensity-modulated radiation therapy (IMRT) technique, the fluence (radiation energy per unit area) of the radiation beams can be modulated to optimally shape the 3D high...