Many data mining approaches aim at modelling and predicting human behaviour. An important quantity of interest is the quality of model-based predictions, e.g. for €nding a competition winner with best prediction performance. In real life, human beings meet their decisions with considerable uncertainty. Its assessment and resulting implications for statistically evident evaluation of predictive ...

We want to investigate the stochastic parameters, drift and diffusion, in Fényes’ and Nelson’s approach of stochastic mechanics. In contrast to the postulate of a constant diffusion parameter, we consider coordinate dependent alternatives. Therefore, we assume that the trajectory of a particle can be described by a continuous stochastic process with spaceand/or time-dependent diffusion. For an ...

This paper presents a generalized quantum model for describing purposes or goals of individual agents, and the way choices can be made that enable these goals to be achieved. The underlying model is a semantic vector space model, which is turned into a purposeful choice model by labelling some axes as objectives, and describing choices as transformations on the vector spaces that enable agents ...

A weak choice principle is introduced that is implied both by countable choice and by the law of excluded middle. This principle su ces to prove that metric independence is the same as linear independence in an arbitrary normed space over a locally compact eld, and to prove the fundamental theorem of algebra. 1 Bishop's principle Without appeal to the law of excluded middle, Bishop [1, Lemma 7,...