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» Exponential-Time Approximation of Hard Problems
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CC
2007
Springer
121views System Software» more  CC 2007»
14 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
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
15 years 3 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
FOCS
2007
IEEE
15 years 4 months ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx
ACL
2010
14 years 8 months ago
Viterbi Training for PCFGs: Hardness Results and Competitiveness of Uniform Initialization
We consider the search for a maximum likelihood assignment of hidden derivations and grammar weights for a probabilistic context-free grammar, the problem approximately solved by ...
Shay B. Cohen, Noah A. Smith
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
15 years 3 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz