The Gaussian algorithm for lattice reduction in dimension 2 is analysed under its standard version. It is found that, when applied to random inputs in a continuous model, the complexity is constant on average, the probability distribution decays geometrically, and the dynamics is characterized by ...
Therefore, lattice reduction is applied to formulate an equivalent lattice Gaussian distribution but with less correlated multivariate, which leads to a better Markov mixing due to the enhanced convergence rate. Then, we extend the proposed lattice-reduction-aided Gibbs sampling to lattice decoding, ...
An average-case analysis of the gaussian algorithm for lattice reduction. Combinatorics, Probability & Computing, 6(4):397-433, 1997.Herv´e Daud´e, Philippe Flajolet and Brigitte Vall´ee, An Average-Case Analysis of the Gauss- ian Algorithm for Lattice Reduction, Combin. Probab. Comput...
both in theory and in practice, over today’s most efficient lattice schemes. The novel scheme is obtained as a result of a modification of the rejection sampling algorithm that is at the heart of Lyubashevsky’s signature scheme (Eurocrypt, 2012) and several other lattice...
In the typical lattice process of Gaussian Markov random field (GMRF), the focus is on the precision matrix, which is the inverse of the variance-covariance matrix, and the reduction of the calculation load is carried out (Rue and Held, 2005). Unlike the variance-covariance matrix, the prec...
Randomized lattice decoding: Bridging the gap between lattice reduction and sphere decoding Sphere decoding achieves maximum-likelihood (ML) performance at the cost of exponential complexity; lattice reduction-aided decoding significantly reduces ... S Liu,L Cong,D Stehlé - IEEE International Symposium...
lattice of covariance-based Gaussian Random Field models (Geostatistics models) using Gaussian Markov Random Fields (GMRFs) (conditional autoregression models)... L Fontanella,L Ippoliti,RJ Martin,... - 《Advances in Data Analysis & Classification》 被引量: 8发表: 2008年 Human Motion Classificatio...
To carry through the reduction to the case where there are no decorations, we need to control the growth of the latter as well as the growth of the steps of the walk. Setting \(\xi _0 \equiv 0\) and \(\xi _k := {\mathcal {S}}_k - {\mathcal {S}}_{k-1}\), we then...
In this work we prove a "lattice world" analog of LHL over infinite domains, proving that certain "generalized subset sum" distributions are statistically close to well behaved discrete Gaussian distributions, even without any modular reduction. Specifically, given many vectors {xi}mi=1 from some ...
Analogues of Split Levinson, Schur, and Lattice Algorithms for Three-Dimensional Random Field Estimation Problems Fast algorithms for computing the linear least-squares estimate of a three-dimensional random field from noisy observations inside a sphere are proposed. T... AE Yagle - 《Siam Journal ...