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More precisely, for each of the datasets, we generated a randomized version of them with M random points v_{m} = [u_{m},l_{m},m],quad min[1,dots,M], where each (u_{m}), (l_{m}) is uniformly sampled from U users and N locations respectively, with M, U and L the same as in D1 and D2.
A randomized version of the inverse sampling is introduced.
The first representation is based on a randomized version of the classical spectral density function.
The algorithm is a randomized version of Korf and Chickering's best-first search.
Distributions are compared to those obtained from a randomized version of the contact networks (1,000 realizations for each null model).
The DVND was inspired by a randomized version of the VND (called RVND) and a comparison was made, achieving competitive results in terms of solution quality.
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We also generated a randomized version for one of the functional protein segments (PFF0200c_7.3) to determine whether activation was specific to the protein sequence or overall amino acid content.
The probability that a match is a product of chance alone was calculated by analyzing the score distribution obtained from a profile search against a regionally randomized version of the protein database, assuming an extreme value distribution [34].
This background is a completely randomized version of the coding sequences from the human genome subject to the constraints of amino acid order and codon usage in each gene.
For efficient detection, several approximation algorithms have been provided including edge sampling (MF INDER) [ 6], randomized version of ESU from a search tree (R AND-ESU) [ 9], and tree-filtering search which is N EM OF INDER[ 10].
This randomized version of brute force search enabled them to compete with strong amateurs.
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