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Concerning Lemmas 3.1 3.3, we obtain a positive pair and a negative pair of sub- and supersolutions of problem (1.1) provided that is sufficiently small.
For example, Zheng et al. [8] proposed the Probabilistic Relative Distance Comparison (PRDC) to maximize the matching probability of positive pairs so that the distance between the positive pair is smaller than that of negative pair.
On the other hand he did not believe that every positive or negative sentence corresponds to some state of affairs which obtains; this applies only to those sentences which are true, and thus only to one member of any given positive and negative pair of putative states of affairs.
What remains of key interest for future work is the enhancement of performance for the aforesaid tasks, which can be fulfilled by utilizing more powerful visual representations, developing sophisticated methods. 1 A negative pair indicates a pair of different vessel images, whereas a positive pair corresponds to a pair of vessel images belonging to a unique vessel.
Moreover, MADRS4 showed some negative pair wise scalabilities (H4,j j = 7,8,10, values not shown).
2. p(x i = score| s i = 1, y = 0), i ∈ {1, 2,... 6} p(x i = score| s i = 1, y = 0) is the probability of a miRNA-target pair's score x i from algorithm i, given this pair is a negative pair and has a reported score.
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where TP, TN, FP, and FN are the numbers of true positive, true negative, false positive, and false negative pairs, respectively.
It is also found from this figure that if the appearances of faces are very similar, then the negative pairs can be wrongly identified.
The results of Eigenfaces, SIFT, LBP, and MKL are cited from the website of database Fig. 9 Examples of correct and incorrect verifications of the positive and negative pairs considering the View 2 experiments of the LFW database.
The results of mindist-LBP, MBGS-LBP, APEM, and LM3L are cited from the website of database Fig. 11 Examples of correct and incorrect verifications of the positive and negative pairs considering the experiments of the YTF database.
Having determined that only relatively few miRNAs actually exhibit correlations with their targets (whether positive or negative), we show the 10 most positive miRNA-target pairs in Table 1 and the 10 most negative pairs in Table 2.
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