The top 11 genes with a high absolute value of coefficient factor, namely, 4247 (mgat2), 4248 (MGAT3), 85365 (ALG2
), 1650 (DDOST), 11282 (MGAT4B), 79868 (ALG13), 57134 (MAN1C1), 8813 (DPM1), 4122 (MAN2A2), 146664 (MGAT5B), and 29929 (ALG6), are selected to represent the genes for this canonical variable (Figure 4(b), Table 1).
In Tables 3 and 4, Alg1, Alg2
, Alg3, Alg4, Alg5, and Alg6 indicate PF pruning bagging with unpruned C4.5, bagging with unpruned C4.5, PF pruning bagging with pruned C4.5, bagging with pruned C4.5, PF pruning random forest, and random forest.
The complexity of Algorithm 2 (Alg2) is analyzed briefly as follows.
In order to reduce the complexity of Alg2, in the rest of the section, we propose a suboptimal algorithm with less complexity.
where W(*) denotes the Lambert W function , The value of [lambda] and [[mu].bar] can be obtained by the subgradient method similar to that in Alg2.
albicans orthologue GTs Alg7, Alg13/14, Alg1, Alg2
, and Alg11, using the nucleotide sugars UDPGlcNAc and GDP-Man as donor substrates to synthesize the Dol-PP-GlcN[Ac.sub.2][Man.sub.5] intermediate.
Alg2 is the same as Alg1 except that Lines (1.5) and (1.6) are replaced by Lines (2.1) through (2.7), stated below.
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (respectively, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]) denote bags [S.sub.i], [T.sub.i] in Alg1 (respectively, Alg2) after round i, i [is greater than or equal to] 0.
For the basis, we observe that [T.sub.0], ..., [T.sub.l-1] in Alg1 and Alg2 are obtained in exactly the same way.
In order to solve problem (3.5) we advocate (among other algorithms and for its simplicity) the algorithm called ALG2 in the above references.
The solution method relies on an Uzawa-Douglas-Rachford algorithm (a particular case of ALG2, a general one, discussed in, e.g., , , ), quite different of the one used in the present article, the corresponding Lagrangian functionals being themselves quite different.