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» Approximation bounds for Black Hole Search problems
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ICALP
2004
Springer
13 years 10 months ago
The Black-Box Complexity of Nearest Neighbor Search
We define a natural notion of efficiency for approximate nearest-neighbor (ANN) search in general n-point metric spaces, namely the existence of a randomized algorithm which answ...
Robert Krauthgamer, James R. Lee
FOCS
2003
IEEE
13 years 10 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
IPL
2002
118views more  IPL 2002»
13 years 4 months ago
Lower bounds for approximate polygon decomposition and minimum gap
We consider the problem of decomposing polygons (with holes) into various types of simpler polygons. We focus on the problem of partitioning a rectilinear polygon, with holes, int...
Joachim Gudmundsson, Thore Husfeldt, Christos Levc...
FOCS
2010
IEEE
13 years 2 months ago
Black-Box Randomized Reductions in Algorithmic Mechanism Design
We give the first black-box reduction from arbitrary approximation algorithms to truthful approximation mechanisms for a non-trivial class of multiparameter problems. Specifically,...
Shaddin Dughmi, Tim Roughgarden
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
13 years 11 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang