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COCO
2006
Springer
93views Algorithms» more  COCO 2006»
13 years 11 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
ECCC
2010
78views more  ECCC 2010»
13 years 7 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
ECCC
2010
80views more  ECCC 2010»
13 years 7 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
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 5 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
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