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  2. Longest alternating subsequence - Wikipedia

    en.wikipedia.org/.../Longest_Alternating_Subsequence

    The longest alternating subsequence problem has also been studied in the setting of online algorithms, in which the elements of are presented in an online fashion, and a decision maker needs to decide whether to include or exclude each element at the time it is first presented, without any knowledge of the elements that will be presented in the future, and without the possibility of recalling ...

  3. Hunt–Szymanski algorithm - Wikipedia

    en.wikipedia.org/wiki/Hunt–Szymanski_algorithm

    In computer science, the Hunt–Szymanski algorithm, [1] [2] also known as Hunt–McIlroy algorithm, is a solution to the longest common subsequence problem.It was one of the first non-heuristic algorithms used in diff which compares a pair of files each represented as a sequence of lines.

  4. Longest common subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_common_subsequence

    For LCS(R 2, C 3), A does not match C. LCS(R 2, C 2) contains sequences (A) and (G); LCS(R 1, C 3) is (G), which is already contained in LCS(R 2, C 2). The result is that LCS(R 2, C 3) also contains the two subsequences, (A) and (G). For LCS(R 2, C 4), A matches A, which is appended to the upper left cell, giving (GA). For LCS(R 2, C 5), A does ...

  5. Longest common substring - Wikipedia

    en.wikipedia.org/wiki/Longest_common_substring

    The longest common substrings of a set of strings can be found by building a generalized suffix tree for the strings, and then finding the deepest internal nodes which have leaf nodes from all the strings in the subtree below it. The figure on the right is the suffix tree for the strings "ABAB", "BABA" and "ABBA", padded with unique string ...

  6. Patience sorting - Wikipedia

    en.wikipedia.org/wiki/Patience_sorting

    The first phase of patience sort, the card game simulation, can be implemented to take O(n log n) comparisons in the worst case for an n-element input array: there will be at most n piles, and by construction, the top cards of the piles form an increasing sequence from left to right, so the desired pile can be found by binary search. [1]

  7. Longest increasing subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_increasing_subsequence

    In computer science, the longest increasing subsequence problem aims to find a subsequence of a given sequence in which the subsequence's elements are sorted in an ascending order and in which the subsequence is as long as possible. This subsequence is not necessarily contiguous or unique.

  8. ROUGE (metric) - Wikipedia

    en.wikipedia.org/wiki/ROUGE_(metric)

    ROUGE-2 refers to the overlap of bigrams between the system and reference summaries. ROUGE-L: Longest Common Subsequence (LCS) [ 3 ] based statistics. Longest common subsequence problem takes into account sentence-level structure similarity naturally and identifies longest co-occurring in sequence n-grams automatically.

  9. Subsequence - Wikipedia

    en.wikipedia.org/wiki/Subsequence

    seq 2 = cgttcggctat c g ta c g ttcta tt ct a t g att t cta a Another way to show this is to align the two sequences, that is, to position elements of the longest common subsequence in a same column (indicated by the vertical bar) and to introduce a special character (here, a dash) for padding of arisen empty subsequences: