论文标题

从其随机扰动中恢复晶格

Recovering the lattice from its random perturbations

论文作者

Yakir, Oren

论文摘要

考虑到$ d $维的欧几里得晶格,我们考虑通过向每个晶格点添加独立的高斯矢量来获得的随机集。在本说明中,我们提供了一个简单的过程,该过程从随机集的单个实现中恢复了晶格。

Given a $d$-dimensional Euclidean lattice we consider the random set obtained by adding an independent Gaussian vector to each of the lattice points. In this note we provide a simple procedure that recovers the lattice from a single realization of the random set.

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