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» On the Complexity of Hardness Amplification
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ICS
2010
Tsinghua U.
13 years 11 months ago
Weight Distribution and List-Decoding Size of Reed-Muller Codes
: We study the weight distribution and list-decoding size of Reed-Muller codes. Given a weight parameter, we are interested in bounding the number of Reed-Muller codewords with a w...
Tali Kaufman, Shachar Lovett, Ely Porat
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 8 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...
ICIP
2002
IEEE
14 years 9 months ago
Satellite and aerial image deconvolution using an EM method with complex wavelets
In this paper, we present a new deconvolution method, able to deal with noninvertible blurring functions. To avoid noise amplification, a prior model of the image to be reconstruc...
André Jalobeanu, Josiane Zerubia, Má...
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
14 years 1 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
CC
2007
Springer
121views System Software» more  CC 2007»
13 years 7 months ago
If NP Languages are Hard on the Worst-Case, Then it is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma