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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.
The difference is thin in this respect, since the axiomatic analysis in normative economics may be interpreted as performing not only a logical decomposition of a given ranking or principle, but also a clarification of the underlying basic principles or arguments.
For a given ranking, the average precision is the average of all precisions computed at ranks containing relevant documents.
As regards the evaluation of predictive performance, we trained a linear SVM classifier on each of the P = 20 gene subsets (of a given size) selected by a given ranking method from the reduced datasets randomly drawn from the original dataset: these reduced datasets serve at this stage as training sets.
As explained in Section 2.2, the stability value was obtained, for a given ranking method, as the average similarity (I-overlap) among the gene subsets selected by this method from a number P = 20 of reduced datasets randomly drawn from the original dataset.
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Algorithm ?? presents the method for performing recommendations considering a given ranked list τ i.
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 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.
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.
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