Author : Michael Luby
Publisher : Now Publishers Inc
ISBN 13 : 1933019220
Total Pages : 80 pages
Book Rating : 4.9/5 (33 download)
Book Synopsis Pairwise Independence and Derandomization by : Michael Luby
Download or read book Pairwise Independence and Derandomization written by Michael Luby and published by Now Publishers Inc. This book was released on 2006 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pairwise Independence and Derandomization gives several applications of the following paradigm, which has proven extremely powerful in algorithm design and computational complexity. First, design a probabilistic algorithm for a given problem. Then, show that the correctness analysis of the algorithm remains valid even when the random strings used by the algorithm do not come from the uniform distribution, but rather from a small sample space, appropriately chosen. In some cases this can be proven directly (giving "unconditional derandomization"), and in others it uses computational assumptions, like the existence of 1-way functions (giving "conditional derandomization"). Pairwise Independence and Derandomization is self contained, and is a prime manifestation of the "derandomization" paradigm. It is intended for scholars and graduate students in the field of theoretical computer science interested in randomness, derandomization and their interplay with computational complexity.