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ECCC
2006
116views more  ECCC 2006»
15 years 4 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
CC
2007
Springer
121views System Software» more  CC 2007»
15 years 4 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
COMPGEOM
2011
ACM
14 years 7 months ago
Comparing distributions and shapes using the kernel distance
Starting with a similarity function between objects, it is possible to define a distance metric (the kernel distance) on pairs of objects, and more generally on probability distr...
Sarang C. Joshi, Raj Varma Kommaraju, Jeff M. Phil...
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
14 years 4 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
16 years 4 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra