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Abstract: This set of notes gives several applications of the following paradigm. The paradigm consists of two complementary parts. The first part is to design a probabilistic algorithm described by a sequence of random variables so that the analysis is valid assuming limited independence between the random variables. The second part is the design of a small probability space for the random variables such that they are somewhat independent of each other. Thus, the analysis of the algorithm holds even... (Update)
Context of citations to this paper: More
...also at the core of many constructions in complexity theory. Examples are pseudorandom generation [11, 14] derandomization of algorithms [15], hardness results in computational learning theory [13] and computing with degenerate, weak random sources [20] A survey of these...
.... Universal hash functions were introduced by Carter and Wegman [8, 28] and have found many applications in theoretical computer science [15]. A 2 universal hash function is a set G of functions X Y if, for all distinct x 1 ; x 2 2 X , there are at most jGj=jYj functions g in...
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BibTeX entry: (Update)
M. Luby and A. Wigderson, "Pairwise independence and derandomization," Tech. Rep. 95-035, International Computer Science Institute (ICSI), Berkeley, 1995. http://citeseer.ist.psu.edu/luby95pairwise.html More
@techreport{ luby95pairwise,
author = "Michael Luby and Avi Wigderson",
title = "Pairwise Independence and Derandomization",
number = "CSD-95-880",
pages = "59",
year = "1995",
url = "citeseer.ist.psu.edu/luby95pairwise.html" }
Citations (may not include all citations):109 Relative to a random oracle (context) - Bennett, Gill
102 A Fast and Simple Randomized Parallel Algorithm for the Maxi.. (context) - Alon, Babai et al. - 1986
88 Deterministic simulation in LOGSPACE (context) - Ajtai, Komlos et al. - 1987
70 Two Theorems on Random Polynomial Time (context) - Adleman - 1978
5 P 1 1 -Formulae on Finite Structures (context) - Ajtai - 1983
3 RSA/Rabin Functions: Certain Parts are as Hard as the Whole (context) - Alexi, Chor et al. - 1988
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