An average-case analysis of the gaussian algorithm for lattice reduction. Combin. Probab. Comput., 6(4):397-433, 1997.Daude, H., Flajolet, P., and Vallee, B. An average-case analysis of the Gaussian algorithm for lattice reduction, Combinatorics, Probability and Computing (1997) 6 397{...
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, ...
Let L be a square lattice and x = {xi,j, (i, j)∈ L) be a random field used to model a class of images. Suppose L represents the finest resolution and denote x by x0. Suppose that for some positive integer M, x0 has a wavelet expansion (53)x0~{w−1,w−2,…,w−M...
(vdW) bonding results in a higher value for c. This enables mechanical exfoliation of the material to obtain ultra-thin layers of MoS2. BP exhibits a puckered honeycomb lattice structure. It has phosphorous atoms existing on two parallel planes. The lattice parameters are given bya = 3....
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While Eq. (14) enables us to calculate c as a function of the input energy and geometric parameters, it does not capture its experimentally observed reduction during propagation caused by dissipation (see Fig. 3d). To overcome this limitation, we assume linear viscous dissipation with damping co...
The position of the atom columns can be used to get local changes of lattice parameters [8]. 3. In HAADF-STEM, the intensity of an atomic column is related to the atomic number of the elements in the atomic columns and the number of atoms in the columns [9]. Simulations are often ...
there is a wide class of examples in which a similar control is available and to which our tools potentially directly apply, e.g. (super-)critical Stochastic Navier–Stokes [GT20,CK23,HZZ23], diffusions in divergence-free random vector fields [CHST22], lattice gas models [LRY05] and many...
don't anticipate dramatic differences with respect to previous findings; how- ever, careful modeling of the R-ratio is important because O(1%) changes in the HVP contribution or finding that the uncertainty was underestimated could resolve tension with the experimental measurements and lattice ...