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Randomized binary search trees
Journal of the ACM, 1998In this paper, we present randomized algorithms over binary search trees such that: (a) the insertion of a set of keys, in any fixed order, into an initially empty tree always produces a random binary search tree; (b) the deletion of any key from a random binary search tree results in a random binary search tree; (c) the random choices ...
Conrado Martínez, Salvador Roura
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Randomized binary search technique
Communications of the ACM, 1969A mathematical model is developed for the mean and variance of the number of trials to recover a given document in a randomly received list of files. The search method described is binary in nature and offers new potential for information retrieval systems.
S. R. Arora, W. T. Dent
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Searching for Patterns in Random Sequences.
Canadian Journal of Experimental Psychology / Revue canadienne de psychologie expérimentale, 2004In a probability-guessing paradigm, participants predict which of two events will occur on each trial. Participants generally frequency match even though frequency matching is nonoptimal with random sequences. The optimal strategy is to guess the most frequent event, maximizing. We hypothesize that frequency matching results from a search for patterns,
George, Wolford +3 more
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On Random Search for a Global Extremum
Theory of Probability & Its Applications, 1984Translation from Teor. Veroyatn. Primen. 28, No.1, 129-134 (Russian) (1984; Zbl 0524.49025).
Ermakov, S. M., Zhiglyavskij, A. A.
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2019
We use dynamics of measures, i.e. iteration of the operators from measurable space to space of probabilistic measures on this space, to model and prove properties of random search algorithms. Specifically using this technique in the context of Game Theory we show that stochastic better response dynamics, where players in the potential game perform ...
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We use dynamics of measures, i.e. iteration of the operators from measurable space to space of probabilistic measures on this space, to model and prove properties of random search algorithms. Specifically using this technique in the context of Game Theory we show that stochastic better response dynamics, where players in the potential game perform ...
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Menu search: random or systematic?
International Journal of Man-Machine Studies, 1987Abstract This paper questions the conclusion that menu search is random, not systematic. Three sources of evidence—search times per target as a function of target position, eye movement patterns during search, and the cumulative probability of locating a target as a function of time—cited in support of random search (Card, 1982, 1983) are re-examined
James N. MacGregor, Eric S. Lee
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Optimizing the success of random searches
Nature, 1999We address the general question of what is the best statistical strategy to adapt in order to search efficiently for randomly located objects ('target sites'). It is often assumed in foraging theory that the flight lengths of a forager have a characteristic scale: from this assumption gaussian, Rayleigh and other classical distributions with well ...
G M, Viswanathan +5 more
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Random Structures & Algorithms, 2003
AbstractA random suffix search tree is a binary search tree constructed for the suffixes Xi = 0 · BiBi+1Bi+2… of a sequence B1, B2, B3, … of independent identically distributed random b‐ary digits Bj. Let Dn denote the depth of the node for Xn in this tree when B1 is uniform on ℤb.
Devroye, Luc, Neininger, Ralph
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AbstractA random suffix search tree is a binary search tree constructed for the suffixes Xi = 0 · BiBi+1Bi+2… of a sequence B1, B2, B3, … of independent identically distributed random b‐ary digits Bj. Let Dn denote the depth of the node for Xn in this tree when B1 is uniform on ℤb.
Devroye, Luc, Neininger, Ralph
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A parallel algorithm for random searches
Computer Physics Communications, 2015Abstract We discuss a parallelization procedure for a two-dimensional random search of a single individual, a typical sequential process. To assure the same features of the sequential random search in the parallel version, we analyze the former spatial patterns of the encountered targets for different search strategies and densities of homogeneously ...
Marina E. Wosniack +3 more
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Search in unknown random environments
Physical Review E, 2010N searchers are sent out by a source in order to locate a fixed object which is at a finite distance D, but the search space is infinite and D would be in general unknown. Each of the searchers has a finite random lifetime, and may be subject to destruction or failures, and it moves independently of other searchers, and at intermediate locations some ...
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