منابع مشابه
Pairwise Independence and Derandomization Pairwise Independence and Derandomization
This article 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...
متن کاملPairwise Independence and Derandomization
This article 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...
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We give lower bounds on the joint entropy of n pairwise independent random variables. We show that if the variables have no dominant value (their min-entropies are bounded away from zero) then this joint entropy grows as Ω(log n). This rate of growth is known to be best possible. If k-wise independence is assumed, we obtain an optimal Ω(k log n) lower bound for not too large k. We also show tha...
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This work considers the problem of approximating fixed predicate constraint satisfaction problems (MAX k-CSP(P)). We show that if the set of assignments accepted by P contains the support of a balanced pairwise independent distribution over the domain of the inputs, then such a problem on n variables cannot be approximated better than the trivial (random) approximation, even after augmenting th...
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1 Introduction What types of cars do you own? What are your sources of veterinary information? For what criminal offenses have you been arrested? These are all example questions appearing on surveys where the respondent is prompted to pick any number of responses from a set of variables that summarize this type of survey data have been called multiple-response (or pick any/c) categorical variab...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1965
ISSN: 0003-4851
DOI: 10.1214/aoms/1177700007