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Modelling rational uncertainty concerning logical facts (such as \(h \wedge k \vDash e\)) by probabilistic means is no trivial task.
Thus, it should be a good estimate of the information that a kernel-based model has about that part of the feature space or, by probabilistic means, how likely it is that the sample x was drawn from the same distribution as the training set.
If one produces many neutrinos at a source, one cannot merely track them one by one but must detect the neutrino "pulse" by probabilistic means.
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Probabilistic mean field variational analysis provides an efficient computational diagram to obtain the approximate inference of the motion posteriors.
Probabilistic mean QALYs and costs of sensitivity analysis scenarios are given in Table 4.
Our approach is also fully probabilistic, which means predictions can be easily corrected to compensate for variable class priors (e.g. disease prevalence).
In the results from probabilistic model, mean value of repair frequency, safety index (normalized parameter) at each repair timing, and the increasing standard deviation with repeated repair can be calculated with changes in repair numbers.
The modelling approach was fully probabilistic which meant that uncertainties in the model inputs were carried through into uncertainties in the model outputs.
Two types of analyses were performed: one deterministic, using the mean values of all the variables (base case), and a probabilistic analysis, by means of a Monte-Carlo simulation using the extreme values of all the variables at random [ 39, 40].
In this paper, we study robust design of uncertain systems in a probabilistic setting by means of linear quadratic regulators (LQR).
He is careful to point out that while his age (mid-30s to 40) reflects a chronological or probabilistic midpoint, he means the midst of life as much as its midpoint.
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