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» Query Complexity in Errorless Hardness Amplification
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ECCC
2010
80views more  ECCC 2010»
13 years 5 months ago
Query Complexity in Errorless Hardness Amplification
An errorless circuit for a boolean function is one that outputs the correct answer or "don't know" on each input (and never outputs the wrong answer). The goal of e...
Thomas Watson
SIAMCOMP
2010
88views more  SIAMCOMP 2010»
12 years 11 months ago
Hardness Amplification Proofs Require Majority
Hardness amplification is the fundamental task of converting a -hard function f : {0, 1}n {0, 1} into a (1/2 - )-hard function Amp(f), where f is -hard if small circuits fail to c...
Ronen Shaltiel, Emanuele Viola
FOCS
1999
IEEE
13 years 9 months ago
Boosting and Hard-Core Sets
This paper connects two fundamental ideas from theoretical computer science: hard-core set construction, a type of hardness amplification from computational complexity, and boosti...
Adam Klivans, Rocco A. Servedio
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 5 months ago
New direct-product testers and 2-query PCPs
The "direct product code" of a function f gives its values on all k-tuples (f(x1), . . . , f(xk)). This basic construct underlies "hardness amplification" in c...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...