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STOC
1989
ACM
117views Algorithms» more  STOC 1989»
15 years 1 months ago
On the Theory of Average Case Complexity
This paper takes the next step in developing the theory of average case complexity initiated by Leonid A Levin. Previous works Levin 84, Gurevich 87, Venkatesan and Levin 88] have...
Shai Ben-David, Benny Chor, Oded Goldreich, Michae...
FOCS
1990
IEEE
15 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
STACS
2000
Springer
15 years 29 days ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
ECCC
2007
99views more  ECCC 2007»
14 years 9 months ago
On the Average-Case Complexity of Property Testing
Abstract. Motivated by a study of Zimand (22nd CCC, 2007), we consider the average-case complexity of property testing (focusing, for clarity, on testing properties of Boolean stri...
Oded Goldreich
COCO
1995
Springer
134views Algorithms» more  COCO 1995»
15 years 29 days ago
Towards Average-Case Complexity Analysis of NP Optimization Problems
For the worst-case complexity measure, if P = NP, then P = OptP, i.e., all NP optimization problems are polynomial-time solvable. On the other hand, it is not clear whether a simi...
Rainer Schuler, Osamu Watanabe