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ECCC
2007
185views more  ECCC 2007»
15 years 1 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
EMNLP
2008
15 years 2 months ago
Lattice Minimum Bayes-Risk Decoding for Statistical Machine Translation
We present Minimum Bayes-Risk (MBR) decoding over translation lattices that compactly encode a huge number of translation hypotheses. We describe conditions on the loss function t...
Roy Tromble, Shankar Kumar, Franz Josef Och, Wolfg...
COMBINATORICS
1998
86views more  COMBINATORICS 1998»
15 years 29 days ago
Lattice Tilings by Cubes: Whole, Notched and Extended
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tilings of Rd by the unit cube in relation to the Minkowski Conjecture (now a theorem...
Mihail N. Kolountzakis
FLAIRS
2001
15 years 2 months ago
A Lattice-Based Approach to Hierarchical Clustering
The paper presents an approach to hierarchical clustering based on the use of a least general generalization (lgg) operator to induce a lattice structure of clusters and a categor...
Zdravko Markov
JC
2008
128views more  JC 2008»
15 years 1 months ago
Lattice rule algorithms for multivariate approximation in the average case setting
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski