Lecture Notes on Bucket Algorithms by Luc Devroye
  

Lecture Notes on Bucket Algorithms

Written by Luc Devroye
Illustrated by
Part of the Progress in Computer Science and Applied Logic Series

Synopsis

Lecture Notes on Bucket Algorithms by Luc Devroye

Hashing algorithms scramble data and create pseudo-uniform data distribu- tions. Bucket algorithms operate on raw untransformed data which are parti- tioned Into groups according to membership In equl-slzed d-dlmenslonal hyperrec- tangles, called cells or buckets. The bucket data structure Is rather sensitive to the distribution of the data. In these lecture notes, we attempt to explain the connection between the expected time of various bucket algorithms and the dis- tribution of the data. The results are Illustrated on standard searching, sorting and selection problems, as well as on a variety of problems In computational geometry and operations research. The notes grew partially from a graduate course on probability theory In computer science. I wish to thank Elizabeth Van Gulick for her help with the manuscript, and David Avis, Hanna AYukawa, Vasek Chvatal, Beatrice Devroye, Hossam EI Glndy, Duncan McCallum, Magda McCallum, Godfrled Toussaint and Sue Whltesldes for making the School of Computer Science at McGill University such an enjoyable place. The work was supported by NSERC Grant A3456 and by FCAC Grant EQ-1679. INTRODUCTION 1 INTRODUCTION It Is not a secret that methods based upon the truncation of data have good expected time performance. For example, for nice distributions of the data, searching Is often better done via a hashing data structure Instead of via a search tree. The speed one observes In practice Is due to the fact that the truncation operation Is a constant time operation.

About the Author

Other Formats

Book Info

Format

Paperback
148 pages

Author

Luc Devroye
More books by Luc Devroye

Publisher

Birkhauser Boston Inc

Publication date

1st January 1985

ISBN

9780817633288


It gives me a chance to read types of books that I would not normally try, and it motivates me to read every night to finish it!

Alice Horncastle, age 14

We love Lovereading4kids because they put books in front of us we wouldn’t otherwise have read. They make us more adventurous readers!

Emily Jacques

I love lovereading4kids because I’ve read amazing books I would never have picked up, and its opened doors to new genre’s I now love.

Harriet Cunningham

We love Lovereading4kids because it promotes reading choices, new authors and a sense of community for children of all ages!

Rachel Bridgeman

I have told all my friends, family & teachers to see for themselves just how great the site is. Without fail, they are hugely impressed.

Alexander Boxall – age 11

It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk

Lovereading is just a convenient way to find new books and hear others opinions on them.

Sarah Murray – age 15

I love finding new books to read. My mummy and me look at the new ones coming out. I have written reviews of some of them!

Jessica Cobbin – age 7
Lovereading

Lovereading 4 schools
****