Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
Concrete Mathematics: A Foundation for Computer Science
Concrete Mathematics: A Foundation for Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
On Suboptimal Alignments of Biological Sequences
CPM '93 Proceedings of the 4th Annual Symposium on Combinatorial Pattern Matching
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We present a novel dynamic programming framework that allows one to compute tight upper bounds for the p-values of gapped local alignments in pseudo-polynomial time. Our algorithms are fast and simple and unlike most earlier solutions, require no curve fitting by sampling. Moreover, our new methods do not suffer from the so-called edge effects, a by-product of the common practice used to compute p-values. These new methods also provide a way to get into very small p-values, that are needed when comparing sequences against large databases. Based on our experiments, accurate estimates of small p-values are difficult to get by curve fitting.