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STACS
2000
Springer
13 years 9 months 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»
13 years 6 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»
13 years 9 months 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
CSL
2004
Springer
13 years 11 months ago
Notions of Average-Case Complexity for Random 3-SAT
By viewing random 3-SAT as a distributional problem, we go over some of the notions of average-case complexity that were considered in the literature. We note that for dense formul...
Albert Atserias
FSTTCS
1992
Springer
13 years 10 months ago
Structural Average Case Complexity
Levin introduced an average-case complexity measure, based on a notion of \polynomialon average," and de ned \average-case polynomial-time many-one reducibility" amongra...
Rainer Schuler, Tomoyuki Yamakami