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Fig. 1 Diagrammatic overview of the alignment steps in PicXAA
progressive alignment techniques suffer from. In the following,
we give a brief summary of the alignment steps that are involved
in PicXAA. Fig. 1 provides a diagrammatic overview of the align-
ment process of PicXAA.
Suppose we have estimated the posterior pairwise alignment
probabilities for all residue pairs in every possible pair of sequences
x ; y in a given sequence set S . We denote this probability as
Px i
2.1 Improved
Probabilistic
Consistency
Transformation
, where x i 2 x
a jx ; y
y j 2
is a residue in sequence
x ,
a means that the
residues x i and y j are aligned in the true (unknown) alignment a .
These probabilities can be computed using various approaches,
such as pair-HMMs (hidden Markov model) [ 10 ], partition func-
tion based methods ( see Note 8 for parameters used in this scheme)
[ 21 ], and structural pair-HMMs [ 15 ]( see Notes 1 - 3 , 6 and 7 for
more details on these methods). Given these pairwise alignment
probabilities Px i
y j
2 y is a residue in sequence y , and x i
y j
2
a jx ; y , PicXAA updates them using an
improved probabilistic consistency transformation. The probabilis-
tic consistency transformation (PCT) attempts to enhance the
reliability of the estimated pairwise residue alignment probabilities
y j 2
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