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We also discuss the problem of finding the minimal curve Ek of a given rank, in the sense of both |k| and the conductor of Ek, and we give some new results in this direction.
The TPR is the number of actives at a given rank position divided by the number of actives, and the FPR is the number of inactives at a given rank position divided by the number of inactives.
For a given rank K, minimizing (17) means removing as little signal as possible in the denoising process.
The rank diversity (d k)) is simply the normalized number of different elements (curves) that spend at least one time interval at a given rank k.
As described in Section 1.5.1, PARAFAC filtering is an algorithm which minimizes e(A 1,A 2,A 3) in (17) under a given rank K.
For example, one obtains ramified analysis by associating an ordinal rank to set variables; roughly, in the definition of a set of a given rank, quantifiers range only over sets of lower rank, i.e., those whose definitions are logically prior.
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The empirical estimator (i.e., the sample variance in a given ranked set) is most commonly used for estimating the variance in the literature.
To obtain standard error and confidence interval estimates we discuss and compare three methods of resampling a given ranked set sample.
Algorithm ?? presents the method for performing recommendations considering a given ranked list τ i.
Political philosophy focuses on arguments and basic principles, whereas normative economics is more concerned with the effective ranking of social states than the arguments underlying a given ranking.
Despite this churn in terms of the actual people involved in the relationships, the pattern of the fraction of the calls participants placed to a counterpart of a given rank-order (i.e., the 'social signature') remained largely unchanged.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com