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Peaks and valleys in the expression data line up well for the black cluster alignment paths, whereas they often do not for the white consensus ones.
However, the associated computational overhead cannot be tolerated since we need to obtain the alignment paths for all qualified mapping regions of a read pair.
As shown in Figure 5, the sequential alignment methods (only DALI and FATCAT shown) have their alignment paths along the diagonal and do not agree with the reference alignment (shown as circles).
Algorithm 1 (see Appendix) shows the adaptations of the algorithm of Lee et al. [ 13] to produce a set of all suboptimal alignment paths P. Such a path consists of a tuple (s, L, r) where s denotes the score, L is a list of aligned node pairs and r indicates wether a gene order was aligned in its original or reversed orientation.
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Under the guidance of the alignment path, two DNA sequences are globally aligned by inserting blank spaces in the appropriate positions of these two sequences.
This procedure is known as backtracking and the resulting chain of nodes is the best (optimal alignment) path.
Based on all the states obtained in all time steps, a state selection array is generated then a global alignment path is determined from this array.
Considering the multiple view nature of our problem, a multi-view fine alignment technique should be used to prevent residual errors to propagate along the alignment path (e.g. closure problems for objects with cylindrical symmetry).
An alignment path is calculated as the optimal path through the similarity matrix by linearly progressing through the sequences and extending the alignment with the next possible high-scoring AFP pair.
The black alignment path represents the cluster's individual alignment.
The longest alignment path is now evaluated for statistical significance (represented as z-score).
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