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  2. X-fast trie - Wikipedia

    en.wikipedia.org/wiki/X-fast_trie

    An x-fast trie containing the integers 1 (001 2), 4 (100 2) and 5 (101 2). Blue edges indicate descendant pointers. An x-fast trie is a bitwise trie: a binary tree where each subtree stores values whose binary representations start with a common prefix. Each internal node is labeled with the common prefix of the values in its subtree and ...

  3. Bitwise trie with bitmap - Wikipedia

    en.wikipedia.org/wiki/Bitwise_trie_with_bitmap

    The AMT uses eight 32-bit bitmaps per node to represent a 256-ary trie that is able to represent an 8 bit sequence per node. With 64-Bit-CPUs (64-bit computing) a variation is to have a 64-ary trie with only one 64-bit bitmap per node that is able to represent a 6 bit sequence. Trie node with bitmap that marks valid child branches.

  4. Trie - Wikipedia

    en.wikipedia.org/wiki/Trie

    A notable variant is the bitwise trie, ... The following pseudocode implements the search procedure for a given string key in a rooted trie x. ... Statistics; Cookie ...

  5. Predecessor problem - Wikipedia

    en.wikipedia.org/wiki/Predecessor_problem

    An x-fast trie containing the integers 1 (001 2), 4 (100 2) and 5 (101 2), which can be used to efficiently solve the predecessor problem. One simple solution to this problem is to use a balanced binary search tree , which achieves (in Big O notation ) a running time of O ( log ⁡ n ) {\displaystyle O(\log n)} for predecessor queries.

  6. Bloom filter - Wikipedia

    en.wikipedia.org/wiki/Bloom_filter

    An alternative analysis arriving at the same approximation without the assumption of independence is given by Mitzenmacher and Upfal. [7] After all n items have been added to the Bloom filter, let q be the fraction of the m bits that are set to 0. (That is, the number of bits still set to 0 is qm.)

  7. Posterior predictive distribution - Wikipedia

    en.wikipedia.org/wiki/Posterior_predictive...

    In Bayesian statistics, the posterior predictive distribution is the distribution of possible unobserved values conditional on the observed values. [1] [2]Given a set of N i.i.d. observations = {, …,}, a new value ~ will be drawn from a distribution that depends on a parameter , where is the parameter space.

  8. Z-order curve - Wikipedia

    en.wikipedia.org/wiki/Z-order_curve

    The Z-ordering can be used to efficiently build a quadtree (2D) or octree (3D) for a set of points. [5] [6] The basic idea is to sort the input set according to Z-order.Once sorted, the points can either be stored in a binary search tree and used directly, which is called a linear quadtree, [7] or they can be used to build a pointer based quadtree.

  9. X-tree - Wikipedia

    en.wikipedia.org/wiki/X-tree

    In computer science tree data structures, an X-tree (for eXtended node tree [1]) is an index tree structure based on the R-tree used for storing data in many dimensions. It appeared in 1996, [2] and differs from R-trees (1984), R+-trees (1987) and R*-trees (1990) because it emphasizes prevention of overlap in the bounding boxes, which increasingly becomes a problem in high dimensions.