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» Extractors and Rank Extractors for Polynomial Sources
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COCO
2009
Springer
98views Algorithms» more  COCO 2009»
13 years 12 months ago
Extractors for Varieties
We study the task of randomness extraction from sources which are distributed uniformly on an unknown algebraic variety. In other words, we are interested in constructing a functi...
Zeev Dvir
COCO
2007
Springer
96views Algorithms» more  COCO 2007»
13 years 11 months ago
Unbalanced Expanders and Randomness Extractors from Parvaresh-Vardy Codes
We give an improved explicit construction of highly unbalanced bipartite expander graphs with expansion arbitrarily close to the degree (which is polylogarithmic in the number of ...
Venkatesan Guruswami, Christopher Umans, Salil P. ...
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 5 months ago
On Extractors and Exposure-Resilient Functions for Sublogarithmic Entropy
We study deterministic extractors for bit-fixing sources (a.k.a. resilient functions) and exposure-resilient functions for small min-entropy. That is, of the n bits given as input...
Yakir Reshef, Salil P. Vadhan
STOC
2003
ACM
124views Algorithms» more  STOC 2003»
14 years 5 months ago
Extractors: optimal up to constant factors
This paper provides the first explicit construction of extractors which are simultaneously optimal up to constant factors in both seed length and output length. More precisely, fo...
Chi-Jen Lu, Omer Reingold, Salil P. Vadhan, Avi Wi...
FOCS
2004
IEEE
13 years 9 months ago
Extracting Randomness Using Few Independent Sources
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
Boaz Barak, Russell Impagliazzo, Avi Wigderson