Publications
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Informal provability, first-order BAT logic and first steps towards a formal theory of informal provability Ghent University
Computationally efficient estimation of the probability density function for the load bearing capacity of concrete columns exposed to fire Ghent University
Concrete columns are critical for the stability of structures in case of fire. In order to allow for a true Performance Based Design, the design should be based on considerations of risk and reliability. Consequently, the probability density function (PDF) which describes the load-bearing capacity of concrete columns during fire exposure has to be assessed. As second order effects can be very significant for columns, traditional probabilistic ...
MATHEMATICS TEACHERS LEARNING ABOUT PROBABILITY LITERACY Vrije Universiteit Brussel
This paper discusses the concept of probability literacy in teacher education, based on an empirical study with in-service teachers that relies on a theoretical framework which analysed the concept of probability related to education. The study is also based on a theorical probability literacy model comprised of two types of elements: cognitive and dispositional components, which can enable people to understand statistical concepts. The ...
Tractable Learning for structured probability spaces: A case study in learning preference distributions KU Leuven
Probabilistic sentential decision diagrams (PSDDs)are a tractable representation of structured proba-bility spaces, which are characterized by complexlogical constraints on what constitutes a possibleworld. We develop general-purpose techniques forprobabilistic reasoning and learning with PSDDs,allowing one to compute the probabilities of arbi-trary logical formulas and to learn PSDDs from in-complete data. We illustrate the effectiveness ...
Visit Probability in Space–Time Prisms Based on Binomial Random Walk Hasselt University
Space–time prisms are used to model the uncertainty of space–time locations of moving objects between (for instance, GPS-measured) sample points. However, not all space–time points in a prism are equally likely and we propose a simple, formal model for the so-called “visit probability” of space–time points within prisms. The proposed mathematical framework is based on a binomial random walk within one- and two-dimensional space–time prisms. ...
Nonparametric Probability Density Estimation via Interpolation Filtering Vrije Universiteit Brussel
In this paper, we discuss nonparametric estimation of the probability density function (PDF) of a univariate random variable. This problem has been the subject of a vast amount of scientific literature in many domains, while statisticians are mainly interested in the analysis of the properties of proposed estimators, and engineers treat the histogram as a ready-to-use tool for a data set analysis. By considering histogram data as a numerical ...
Probability Ghent University
Risk and risk assessment are part of our daily life. Both professionally and privately we make many decisions and risk analysis is an integral part of this. Risk is often defined as the probability that an event will occur, multiplied by the consequences of the event. This definition may be rather simplistic as it undervalues the risk of events with very small probabilities but very large consequences (for example pandemics or nuclear ...
Eliminating user-interaction in probability density estimation Vrije Universiteit Brussel
Although the extensive literature, describing the probability content of measurements remains an important topic for engineering problems. The histogram remains the golden standard, even though kernel density estimation is a strong competitor when smooth estimates are desired. Critical user interaction is required for both the use of histograms and kernel densities. A good choice for the bandwidth is essential in both cases. On top of that the ...