论文标题

广义伪骨骼分解

Generalized Pseudoskeleton Decompositions

论文作者

Hamm, Keaton

论文摘要

我们表征了矩阵和张量在任意磁场上的伪骨架分解的一些变体(也称为CUR)。这些特征将先前的结果扩展到任意磁场和分解,这些结果使用构成矩阵的概括性对比,与摩尔 - 摩尔(penrose pseudoinverses)相比,在现实或复杂的矩阵中,并且具有更大的结构性。

We characterize some variations of pseudoskeleton (also called CUR) decompositions for matrices and tensors over arbitrary fields. These characterizations extend previous results to arbitrary fields and to decompositions which use generalized inverses of the constituent matrices, in contrast to Moore--Penrose pseudoinverses in prior works which are specific to real or complex valued matrices, and are significantly more structured.

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