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» Limits on the Hardness of Lattice Problems in lp Norms
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FOCS
2004
IEEE
13 years 9 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
ML
2002
ACM
167views Machine Learning» more  ML 2002»
13 years 4 months ago
Linear Programming Boosting via Column Generation
We examine linear program (LP) approaches to boosting and demonstrate their efficient solution using LPBoost, a column generation based simplex method. We formulate the problem as...
Ayhan Demiriz, Kristin P. Bennett, John Shawe-Tayl...
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
13 years 9 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
CRYPTO
2006
Springer
119views Cryptology» more  CRYPTO 2006»
13 years 9 months 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...
COLING
1992
13 years 6 months ago
The Proper Treatment Of Word Order In HPSG
: This paper describes a possibility of expressing ordering constraints among non-sister constituents in binary branching syntactic structures on a local basis, supported by viewin...
Karel Oliva