Parametric k-best alignment

dc.creatorHuggins, Peter
dc.creatorYoshida, Ruriko
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:41Z
dc.date.available2026-07-07T10:01:41Z
dc.descriptionOptimal sequence alignments depend heavily on alignment scoring parameters. Given input sequences, {\em parametric alignment} is the well-studied problem that asks for all possible optimal alignment summaries as parameters vary, as well as the {\em optimality region} of alignment scoring parameters which yield each optimal alignment. But biologically correct alignments might be {\em suboptimal} for all parameter choices. Thus we extend parametric alignment to {\em parametric $k$-best alignment}, which asks for all possible $k$-tuples of $k$-best alignment summaries $(s_1, s_2, ..., s_k)$, as well as the {\em $k$-best optimality region} of scoring parameters which make $s_1, s_2, ..., s_k$ the top $k$ summaries. By exploiting the integer-structure of alignment summaries, we show that, astonishingly, the complexity of parametric $k$-best alignment is only polynomial in $k$. Thus parametric $k$-best alignment is tractable, and can be applied at the whole-genome scale like parametric alignment.
dc.description1 figure and 2 tables
dc.identifierhttps://arxiv.org/abs/0809.1473
dc.identifierhttp://arxiv.org/abs/0809.1473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168711
dc.subjectPopulations and Evolution
dc.titleParametric k-best alignment
dc.typetext

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