منابع مشابه
An Efficient Implementation of Implied Binomial Trees
Implied binomial trees are constructed by fitting a risk-neutral density (in the form of ending nodal probabilities) to observed option prices. Since there are usually not enough options traded in the marketplace, a quadratic program is often used to extract the ending nodal probabilities from observed option prices. A problem with this commonly used approach is that the quadratic program is us...
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Introduced a new binary search tree algorithm, cache-splay, that was the first to achieve the Unified Bound of Iacono since this problem was posed in 2001, and showed that the lower bound framework (see below) applied to a more general model of computation than binary search. Additionally, my thesis summarized my previous work on developing both lower bounds and upper bounds on the cost of sequ...
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Splay trees, a form of self-adjusting binary tree, were introduced by Sleator and Tarjan in the early 1980s. Their main use is to store ordered lists. The idea is to keep the trees reasonably well balanced through a ‘splay heuristic.’ Sleator and Tarjan showed that if amortised rather than worst-case times are considered, splay trees are optimal. Splay trees have the advantage of simplicity: th...
متن کاملMulti-Splay Trees
In this thesis, we introduce a new binary search tree data structure called multi-splay tree and prove that multi-splay trees have most of the useful properties different binary search trees (BSTs) have. First, we demonstrate a close variant of the splay tree access lemma [ST85] for multi-splay trees, a lemma that implies multi-splay trees have the O(log n) runtime property, the static finger p...
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We study the dynamic optimality conjecture, which predicts that splay trees are a form of universally efficient binary search tree, for any access sequence. We reduce this claim to a regular access bound, which seems plausible and might be easier to prove. This approach may be useful to establish dynamic optimality.
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ژورنال
عنوان ژورنال: International Journal on Data Science and Technology
سال: 2016
ISSN: 2472-2200
DOI: 10.11648/j.ijdst.20160201.14