To any sequence of real numbers 〈an〉n 0, we can associate another sequence 〈âs〉s 0, which Knuth calls its binomial transform. This transform is defined through the rule

We present a new type of search trees, called Skip trees, which are a generalization of Skip lists. To be precise, there is a one-to-one mapping between the two data types which commutes with the sequential update algorithms. A Skip list is a data structure used to manage data bases which stores values in a sorted way and in which it is insured that the form of the Skip list is independent of t...

In this paper, we empirically explore the effects of various kinds of skip connections in stacked bidirectional LSTMs for sequential tagging. We investigate three kinds of skip connections connecting to LSTM cells: (a) skip connections to the gates, (b) skip connections to the internal states and (c) skip connections to the cell outputs. We present comprehensive experiments showing that skip co...

Human eating behaviors are often nonhomeostatic, and thus unlike homeostatic behaviors, they are not exclusively reliant on rigid brain mechanisms, but heavily depend on psychological, sociocultural, and educational factors as well. A clear understanding of the mechanisms and consequences of various eating behaviors is necessary for giving comprehensive educational guidance. However, recommenda...

CLASS Modellkonstrukt; PRIVATE Beschreibung: STRING; END_CLASS; CLASS Kommunikationsbeziehung SUBCLASS OF Modellkonstrukt; PRIVATE Mitteilung: STRING; Übermittlungsart: Übermittlungsart; Übermittlungsdauer: REAL; Empfänger, Sender: POINTER TO Aktives_Modellelement; Übermittlungsobjekt: LIST [0:?] OF POINTER TO Passives_Modellelement; PUBLIC CONSTRUCTOR erzeugen(); VIRTUAL DESTRUCTOR löschen; EN...

We introduce the zip tree , 1 a form of randomized binary search that integrates previous ideas into one practical, performant, and pleasant-to-implement package. A is in which each node has numeric rank (max)-heap-ordered with respect to ranks, ties broken favor smaller keys. Zip trees are essentially treaps [8], except ranks drawn from geometric distribution instead uniform distribution, we a...

We introduce the dense skip tree, a novel cache-conscious randomized data structure. Algorithms for search, insertion, and deletion are presented, and they are shown to have expected cost O(logn). The dense skip tree obeys the same asymptotic properties as the skip list and the skip tree. A series of properties on the dense skip tree is proven, in order to show the probabilistic organization of...