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These trained DBNs are then used to evaluate the test PSMs, yielding for each PSM and each type of DBN a pair of probabilities (positive and negative).
After log-transformation (log10), the difference in the second pair of probabilities (1.477) is greater than that in the first pair (0.151).
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Let f r and f w be a pair of probability that a replica is included in the quorums Q r and Q w, respectively.
In the book Savage presents a set of axioms constraining preferences over a set of options that guarantee the existence of a pair of probability and utility functions relative to which the preferences can be represented as maximising expected utility.
Note that Levi (1986) has a slightly more restrictive condition on admissibility: if an option does not have maximum EU for at least one pair of probability and utility functions, then it is not admissible.
The authors constructed uncertainty models by quantifying the 3D Probability bands in pairs of probability and band size.
That is, if all pairs of probability and utility functions characterising the agent's attitudes agree on the ranking of two options, then these particular options should be ranked accordingly.
The relevant constraint on choice functions is that "EU-dominated options" are not admissible choices, i.e., if an option has lower expected utility than another option according to all pairs of probability and utility functions, then the former dominated option is not an admissible choice.
when ρ = 0.5 and δ = 1, to ensure M is not less than the minimum number of required samples to achieve the pair of target probabilities ( left({overline{P}}_d,{overline{P}}_fright) ).
The decorrelation of two macrostates was specified to be the inverse of the not centered correlation coefficient of the corresponding pair of transition probability distributions, averaged across actions k (equation 5).
Such "overlap" relations [31], which vary asymmetrically, are problematic for terminological ontologies that rely on simple categorical mappings and therefore lose information relative to the pair of conditional probability values we compute here.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com