Publications
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Bonding in Heavier Group 14 Zero-Valent Complexes-A Combined Maximum Probability Domain and Valence Bond Theory Approach Vrije Universiteit Brussel
The bonding in heavier Group 14 zero-valent complexes of a general formula L2E (E=Si–Pb; L=phosphine, N-heterocyclic and acyclic carbene, cyclic tetrylene and carbon monoxide) is probed by combining valence bond (VB) theory and maximum probability domain (MPD) approaches. All studied complexes are initially evaluated on the basis of the structural parameters and the shape of frontier orbitals revealing a bent structural motif and the presence of ...
Distributions of Aβ42 and Aβ42/40 in the Cerebrospinal Fluid in View of the Probability Theory Hasselt University
Amyloid beta 42/40 concentration quotient has been empirically shown to improve accuracy of the neurochemical diagnostics of Alzheimer's Disease (AD) compared to the A beta 42 concentration alone, but this improvement in diagnostic performance has not been backed up by a theoretical argumentation so far. In this report we show that better accuracy of A beta 42/40 compared to A beta 1-42 is granted by fundamental laws of probability. In ...
Geometric probability theory and Jaynes’s methodology Vrije Universiteit Brussel
We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In particular, we use this generalization to provide an improvement of the Jaynes’ MaxEnt method. The improvement consists in providing a framework for the introduction of symmetry constraints. This allows us to include group theory within MaxEnt. Some ...
Introduction to quantum probability theory and its economic applications Vrije Universiteit Brussel
Theory and Practice of Logic Programming: Special issue on probability, logic and learning KU Leuven
Quantum Mechanics: a new turn in probability theory and information processing Vrije Universiteit Brussel
Logic, Geometry And Probability Theory Vrije Universiteit Brussel
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