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» On the Reduction Theory for Average Case Complexity
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APPROX
2007
Springer
104views Algorithms» more  APPROX 2007»
14 years 3 months ago
Worst-Case to Average-Case Reductions Revisited
Abstract. A fundamental goal of computational complexity (and foundations of cryptography) is to find a polynomial-time samplable distribution (e.g., the uniform distribution) and...
Dan Gutfreund, Amnon Ta-Shma
FOCS
1990
IEEE
14 years 1 months ago
The Lattice Reduction Algorithm of Gauss: An Average Case Analysis
The lattice reduction algorithm of Gauss is shown to have an average case complexity which is asymptotic to a constant.
Brigitte Vallée, Philippe Flajolet
FOCS
2003
IEEE
14 years 2 months ago
On Worst-Case to Average-Case Reductions for NP Problems
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy co...
Andrej Bogdanov, Luca Trevisan
ICALP
1999
Springer
14 years 1 months ago
Average-Case Complexity of Shellsort
We demonstrate an ⍀( pn1ϩ1/p) lower bound on the average-case running time (uniform distribution) of p-pass Shellsort. This is the first nontrivial general lower bound for avera...
Tao Jiang, Ming Li, Paul M. B. Vitányi
AMC
2007
108views more  AMC 2007»
13 years 9 months ago
How robust are average complexity measures? A statistical case study
: Average case analysis forms an interesting and intriguing part of algorithm theory since it explains why some algorithms with bad worst-case complexity can better themselves in p...
Soubhik Chakraborty, Suman Kumar Sourabh