CVPR
2012
IEEE
12 years 2 months ago
2012
IEEE
We consider the problem of finding a few representatives for a dataset, i.e., a subset of data points that efficiently describes the entire dataset. We assume that each data poi...
SODA
2012
ACM
12 years 2 months ago
2012
ACM
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) -...
CORR
2010
Springer
13 years 10 months ago
2010
Springer
We give an algorithm for solving the exact Shortest Vector Problem in n-dimensional lattices, in any norm, in deterministic 2O(n) time (and space), given poly(n)-sized advice that...
FOCS
2004
IEEE
14 years 3 months ago
2004
IEEE
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 ...
STACS
2004
Springer
14 years 4 months ago
2004
Springer
Abstract We give a method for approximating any n-dimensional lattice with a lattice Λ whose factor group Zn /Λ has n − 1 cycles of equal length with arbitrary precision. We al...
STOC
2006
ACM
14 years 12 months ago
2006
ACM
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...