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» Extractors and Rank Extractors for Polynomial Sources
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STOC
2009
ACM
143views Algorithms» more  STOC 2009»
15 years 10 months ago
Affine dispersers from subspace polynomials
An affine disperser over Fn 2 for sources of dimension d is a function f : Fn 2 F2 such that for any affine space S Fn 2 of dimension at least d, we have {f(s) : s S} = F2. Aff...
Eli Ben-Sasson, Swastik Kopparty
FOCS
2000
IEEE
15 years 2 months ago
Extracting Randomness from Samplable Distributions
Randomness extractors convert weak sources of randomness into an almost uniform distribution; the conversion uses a small amount of pure randomness. In algorithmic applications, t...
Luca Trevisan, Salil P. Vadhan
APPROX
2008
Springer
72views Algorithms» more  APPROX 2008»
14 years 12 months ago
Increasing the Output Length of Zero-Error Dispersers
Let C be a class of probability distributions over a finite set . A function D : {0, 1}m is a disperser for C with entropy threshold k and error if for any distribution X in C s...
Ariel Gabizon, Ronen Shaltiel
CC
2007
Springer
123views System Software» more  CC 2007»
14 years 10 months ago
An Improved Analysis of Linear Mergers
Mergers are procedures that, with the aid of a short random string, transform k (possibly dependent) random sources into a single random source, in a way that ensures that if one ...
Zeev Dvir, Amir Shpilka