Exact distribution of individual displacements in linear probing hashing

Viola, Alfredo

doi:10.1145/1103963.1103965

Cited by 22 publications

(21 citation statements)

References 28 publications

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“…In this case, many of our results reduce to known results, see e.g. [22,42] and the references given there.…”

Section: Some Previous Workcontrasting

confidence: 56%

“…Moreover, in [22] and [42], a distributional analysis for the FCFS, LCFS and Robin Hood heuristic is presented. These results consider a hash table with buckets of size 1.…”

Section: Some Previous Workmentioning

confidence: 99%

“…Even though it could have been done, no attempt to find the generating function from the recurrence is presented there. Moreover, in [42], the same recurrence as in [41] is presented and then the distribution is explicitly calculated for the Poisson model (although the distribution is not presented for the combinatorial model).…”

Section: An Alternative Approach For B =mentioning

confidence: 99%

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A Unified Approach to Linear Probing Hashing with Buckets

Janson

Viola

2016

Algorithmica

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We give a unified analysis of linear probing hashing with a general bucket size. We use both a combinatorial approach, giving exact formulas for generating functions, and a probabilistic approach, giving simple derivations of asymptotic results. Both approaches complement nicely, and give a good insight in the relation between linear probing and random walks. A key methodological contribution, at the core of Analytic Combinatorics, is the use of the symbolic method (based on q-calculus) to directly derive the generating functions to analyze.

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“…In this case, many of our results reduce to known results, see e.g. [22,42] and the references given there.…”

Section: Some Previous Workcontrasting

confidence: 56%

“…Moreover, in [22] and [42], a distributional analysis for the FCFS, LCFS and Robin Hood heuristic is presented. These results consider a hash table with buckets of size 1.…”

Section: Some Previous Workmentioning

confidence: 99%

Section: An Alternative Approach For B =mentioning

confidence: 99%

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A Unified Approach to Linear Probing Hashing with Buckets

Janson

Viola

2016

Algorithmica

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“…I am also grateful to Alfredo Viola and Patricio Poblete for helpful discussions. Many related results, including some of the results below, have independently been found by Viola [29] by related but differently formulated methods. The reader is invited to compare (and combine) the two approaches.…”

Section: (T ) Is a Random Distribution And Its Mean E(d(t )|T ) And Vmentioning

confidence: 65%

Individual displacements for linear probing hashing with different insertion policies

Janson

2005

ACM Trans. Algorithms

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Abstract. We study the distribution of the individual displacements in hashing with linear probing for three different versions: First Come, Last Come and Robin Hood. Asymptotic distributions and their moments are found when the the size of the hash table tends to infinity with the proportion of occupied cells converging to some α, 0 < α < 1. (In the case of Last Come, the results are more complicated and less complete than in the other cases.)We also show, using the diagonal Poisson transform studied by Poblete, Viola and Munro, that exact expressions for finite m and n can be obtained from the limits as m, n → ∞.We end with some results, conjectures and questions about the shape of the limit distributions. These have some relevance for computer applications.

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“…Data storage in Homophony or Soundex search system is done by hash database the advantage of which is the focus on swift searching and adding/deleting member until static time O (1) but such data has to have no priority and duplicity [9,10]. This first step is to take word aimed to search for into the searching system G2P by following the process mentioned above and voice code from these words will be converted where ror-reua, lor-ling will be discarded by the system.…”

Section: Procedures For Homophony or Soundex Searchmentioning

confidence: 99%

Educational Assistive Technology for Students with Communication Disorders

Poobrasert¹

2017

Commun Disord Deaf Stud Hearing Aids

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Assistive technology has a significant impact on helping students with communication disorders achieve their academic goals. Selecting an appropriate assistive technology for a student requires parents, educators, and other professionals take a comprehensive view, carefully analyzing the interaction between the student, the technology, the tasks to be performed, and the settings where it will be used. It is important for the researchers to have better understanding of this disability issues and develop their own tool. Foreign assistive technologies are expensive and not readily available for the student with communication disorders in Thailand. It is therefore desirable to design and develop such tools for the student in Thailand and determine its effectiveness on performance of the student. Consequently, this paper obviously is considered on a study to integrate usability testing into the design and development of two assistive technology tools called Thai Word Search program and Thai word prediction program. Thai Word Search program assists student with communication disorders to write any vocabulary that he/she cannot spell it correctly. However, Thai word prediction has its advantages for students with communication disorders as the function of word completion and word prediction. Finally, the study indicated that student with communication disorders in this study increase his ability in writing when using assistive technology more than without using assistive technology. The result for the first tool shows the value of p is 0.00001. Additionally, result for the second tool shows the value of p is 0.00027. Therefore both results are significant at p ≤ 0.05.

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Exact distribution of individual displacements in linear probing hashing

Cited by 22 publications

References 28 publications

A Unified Approach to Linear Probing Hashing with Buckets

A Unified Approach to Linear Probing Hashing with Buckets

Individual displacements for linear probing hashing with different insertion policies

Educational Assistive Technology for Students with Communication Disorders

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