Therefore, in this paper, we provide a simple numerical experiment to investigate the trustworthiness of RA through the behavior of SA. Our experimental result ...
The experimental result shows that RA describes many of the behaviors of SA, and although RA cannot be said to completely hold, it seems to be capturing the ...
The first approach (1) is the current main stream of this research area and has recently provided several fantastic results. Indeed, based on several ...
The randomness assumption (RA) over lattices was introduced by Schnorr (STACS 2003) to model the behavior of sampling algorithms (SAs).
In this paper, a new method is proposed for optimizing a box-type search space in random sampling by this probabilistic approach. It has been known empirically ...
In 1945, Siegel [23] introduced a “natural” measure µn over Ln such that µn(Ln) is finite to prove the existence of dense lattice packings: µn is the projection.
An Observation on the Randomness Assumption over Lattices · The randomized slicer for CVPP: sharper, faster, smaller, batchier · Optimization of Search Space for ...
In this paper, we present the definition of aggregations of random elements over bounded lattices and the study of their properties. Our proposal includes ...
ABSTRACT. We prove that the number of Siegel-reduced bases for a randomly chosen n-dimensional lattice becomes, for n → ∞, tightly concentrated around.
Feb 3, 2005 · In this system, plane waves interfering in a photo- refractive crystal induce a photonic lattice (Fig. 1d), while voltage applied across the ...
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