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- W2122316959 abstract "We study an abstract optimization problem arising from biomolecular sequence analysis. For a sequence A = ?a1, a2, . . . , an? of real numbers, a segment S is a consecutive subsequence ?ai, ai+1, . . . , aj?. The width of S is j - i + 1, while the density is (?i?k?jak)/j - i+ 1). The maximum-density segment problem takes A and two integers L and U as input and asks for a segment of A with the largest possible density among those of width at least L and at most U. If U = n (or equivalently, U = 2L - 1), we can solve the problem in O(n) time, improving upon the O(n log L)-time algorithm by Lin, Jiang and Chao for a general sequence A. Furthermore, if U and L are arbitrary, we solve the problem in O(n + n log(U - L + 1)) time. There has been no nontrivial result for this case previously. Both results also hold for a weighted variant of the maximum-density segment problem." @default.
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- W2122316959 date "2002-01-01" @default.
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- W2122316959 title "Fast Algorithms for Finding Maximum-Density Segments of a Sequence with Applications to Bioinformatics" @default.
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- W2122316959 doi "https://doi.org/10.1007/3-540-45784-4_12" @default.
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