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ISSAC
2007
Springer
91views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Generation and optimisation of code using coxeter lattice paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations of opera...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
FOCS
2004
IEEE
13 years 11 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 10 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
DAGSTUHL
2006
13 years 8 months ago
Coxeter Lattice Paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations their com...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
COMPGEOM
2010
ACM
14 years 15 days ago
The 2-center problem in three dimensions
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir