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» Lattice Basis Reduction with Dynamic Approximation
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WAE
2000
103views Algorithms» more  WAE 2000»
15 years 9 days ago
Lattice Basis Reduction with Dynamic Approximation
Abstract. In this paper we present a heuristic based on dynamic approximations for improving the well-known Schnorr-Euchner lattice basis reduction algorithm. In particular, the ne...
Werner Backes, Susanne Wetzel
ARITH
2007
IEEE
15 years 2 months ago
Efficient polynomial L-approximations
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Nicolas Brisebarre, Sylvain Chevillard
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
15 years 5 months ago
Certification of the QR factor R and of lattice basis reducedness
Given a lattice basis of n vectors in Zn, we propose an algorithm using 12n3 + O(n2) floating point operations for checking whether the basis is LLL-reduced. If the basis is redu...
Gilles Villard
ICML
2006
IEEE
15 years 5 months ago
Automatic basis function construction for approximate dynamic programming and reinforcement learning
We address the problem of automatically constructing basis functions for linear approximation of the value function of a Markov Decision Process (MDP). Our work builds on results ...
Philipp W. Keller, Shie Mannor, Doina Precup
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
15 years 3 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