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2010
Tsinghua U.
14 years 2 months ago
Are Stable Instances Easy?
We introduce the notion of a stable instance for a discrete optimization problem, and argue that in many practical situations only sufficiently stable instances are of interest. T...
Yonatan Bilu, Nathan Linial
SPIRE
2010
Springer
13 years 3 months ago
Why Large Closest String Instances Are Easy to Solve in Practice
We initiate the study of the smoothed complexity of the Closest String problem by proposing a semi-random model of Hamming distance. We restrict interest to the optimization versio...
Christina Boucher, Kathleen Wilkie
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
13 years 10 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 5 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