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JCSS
2008
120views more  JCSS 2008»
15 years 3 months ago
Quantum certificate complexity
Given a Boolean function f, we study two natural generalizations of the certificate complexity C (f): the randomized certificate complexity RC (f) and the quantum certificate comp...
Scott Aaronson
STOC
2004
ACM
153views Algorithms» more  STOC 2004»
16 years 3 months ago
Quantum and classical query complexities of local search are polynomially related
Let f be an integer valued function on a finite set V . We call an undirected graph G(V, E) a neighborhood structure for f. The problem of finding a local minimum for f can be phr...
Miklos Santha, Mario Szegedy
STOC
1996
ACM
101views Algorithms» more  STOC 1996»
15 years 7 months ago
The Space Complexity of Approximating the Frequency Moments
The frequency moments of a sequence containing mi elements of type i, for 1 i n, are the numbers Fk = n i=1 mk i . We consider the space complexity of randomized algorithms that...
Noga Alon, Yossi Matias, Mario Szegedy
SODA
2000
ACM
85views Algorithms» more  SODA 2000»
15 years 4 months ago
Improved bounds on the sample complexity of learning
We present a new general upper bound on the number of examples required to estimate all of the expectations of a set of random variables uniformly well. The quality of the estimat...
Yi Li, Philip M. Long, Aravind Srinivasan
GECCO
2007
Springer
177views Optimization» more  GECCO 2007»
15 years 9 months ago
Evolutionary algorithms and matroid optimization problems
We analyze the performance of evolutionary algorithms on various matroid optimization problems that encompass a vast number of efficiently solvable as well as NP-hard combinatoria...
Joachim Reichel, Martin Skutella