Projects
Approach structures in probability theory. University of Antwerp
Time, Causality, and Probability in Quantum Mechanics: Assessing Retrocausal Explanations in Light of Recent Experiments KU Leuven
Ingrained in our scientific mindset is the temporal arrow of causality — the idea that causation is time-asymmetric such that causes precede their effects temporally. In recent years, however, due in large part to the puzzles of quantum mechanics, scientists as renowned as John Wheeler, George Ellis and Yakir Aharonov have toyed with the idea that causality might be a two-headed arrow, and that choices made now might influence what has ...
Extracting chemical concepts from quantum chemistry using maximum probability domains. Ghent University
The theory of maximum probability domains allows electrons to be statistically localized to regions of space, making Lewis structures deducible from quantum chemical calculations. In this project, a detailed examination of this theory is performed, in which it is extended with new concepts, is coupled to quantum chemical concepts and is put to work in a chemical environment.
Approach theory meets likelihood theory. University of Antwerp
Developing the next generation of robust Bayesian networks: theory and efficient inference algorithms for mixed credal networks Ghent University
Credal networks are Bayesian networks with imprecise (interval-valued) local probabilities, thereby allowing for robust inferences. This project develops a new type of credal networks, called mixed credal networks. The advantage of this new type is that they do not suffer from the typical computational problems that occur for other types, which allows us to develop efficient inference algorithms.
Ergodic theory, von Neumann algebras and nonsingular Bernoulli actions KU Leuven
Standard measure preserving Bernoulli actions of discrete groups are among the most well studied group actions in ergodic theory, measurable group theory and von Neumann algebras. By varying the base probability measures, one obtains non measure preserving Bernoulli actions with potentially equally interesting properties. We study these nonsingular actions, their ergodicity properties and Krieger type.
Towards a global theory of orthogonal poynomials and correlation kernels for non-Hermition random matrices KU Leuven
Orthogonal polynomials are classes of polynomials subject to certain orthogonality relations, often in weighted L2 spaces on the line, the plane or along the unit circle. Just as Fourier series may be used to express periodic functions in a simple way, orthogonal polynomials are used to describe the solutions to a variety of problems in mathematics. I am interested in orthogonal polynomials which appear in non-Hermitian random matrix theory, ...
A study of the impact of stopping rules on conventional estimation with probabilistic and approach theoretic techniques University of Antwerp
Robust modelling and optimisation in stochastic processes using impreciseprobabilities, with applications to queueing Ghent University
A process is called stochastic when its time-evolution is to some
extent uncertain. To model and reason with such uncertainty, we
use methods from probability theory. This allows us to analyse the
behaviour of these processes, and to design or influence them in
order to make their behaviour optimal or desirable.
One crucial problem is that most often we are not only uncertain
about the processes themselves, but ...