A Subspace Embedding Method in L2 Norm via Fast Cauchy Transform

被引：0

作者：

Xiang, Xu ^{[1
]}

Cheng, Li-Zhi ^{[1
]}

机构：

[1] Natl Univ Def & Technol, State Key Lab High Performance Computat, Changsha 410073, Hunan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

基金：

美国国家科学基金会;

关键词：

D O I：

10.1155/2013/392034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a subspace embedding method via Fast Cauchy Transform (FCT) in L-2 norm. It is motivated by and complements the work of the subspace embedding method in L-p norm, for all p is an element of [1, infinity] except p = 2, by K. L. Clarkson (ACM-SIAM, 2013). Unlike the traditionally used orthogonal basis in Johnson-Lindenstrauss (JL) embedding, we employ the well-conditioned basis in L-2 norm to obtain concentration property of FCT in L-2 norm.

引用

页数：5

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