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JCSS
2008
120views more  JCSS 2008»
15 years 6 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 6 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
150
Voted
STOC
1996
ACM
101views Algorithms» more  STOC 1996»
15 years 10 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
189
Voted
SODA
2000
ACM
85views Algorithms» more  SODA 2000»
15 years 7 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
145
Voted
GECCO
2007
Springer
177views Optimization» more  GECCO 2007»
16 years 8 days 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