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STACS
2000
Springer
14 years 1 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 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»
14 years 1 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
14 years 3 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
14 years 1 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