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...
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...
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...
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...
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...