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COMPGEOM
2004
ACM
14 years 1 months ago
Low-dimensional embedding with extra information
A frequently arising problem in computational geometry is when a physical structure, such as an ad-hoc wireless sensor network or a protein backbone, can measure local information...
Mihai Badoiu, Erik D. Demaine, Mohammad Taghi Haji...
ICALP
2004
Springer
14 years 1 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
CRYPTO
2006
Springer
119views Cryptology» more  CRYPTO 2006»
14 years 3 days ago
Rankin's Constant and Blockwise Lattice Reduction
Abstract Lattice reduction is a hard problem of interest to both publickey cryptography and cryptanalysis. Despite its importance, extremely few algorithms are known. The best algo...
Nicolas Gama, Nick Howgrave-Graham, Henrik Koy, Ph...
WADS
2001
Springer
113views Algorithms» more  WADS 2001»
14 years 26 days ago
Movement Planning in the Presence of Flows
This paper investigates the problem of time-optimum movement planning in two and three dimensions for a point robot which has bounded control velocity through a set of n polygonal...
John H. Reif, Zheng Sun
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 8 months ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan