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COCO
2006
Springer
93views Algorithms» more  COCO 2006»
13 years 10 months ago
Making Hard Problems Harder
We consider a general approach to the hoary problem of (im)proving circuit lower bounds. We define notions of hardness condensing and hardness extraction, in analogy to the corres...
Joshua Buresh-Oppenheim, Rahul Santhanam
AAAI
2006
13 years 7 months ago
The Impact of Balancing on Problem Hardness in a Highly Structured Domain
Random problem distributions have played a key role in the study and design of algorithms for constraint satisfaction and Boolean satisfiability, as well as in our understanding o...
Carlos Ansótegui, Ramón Béjar...
ECCC
2010
78views more  ECCC 2010»
13 years 6 months ago
PCPs and the Hardness of Generating Synthetic Data
Assuming the existence of one-way functions, we show that there is no polynomial-time, differentially private algorithm A that takes a database D ({0, 1}d )n and outputs a "...
Jonathan Ullman, Salil P. Vadhan
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
13 years 11 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 6 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