Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular Vector Perturbation under Gaussian Noise   We perform a non-asymptotic analysis on the singular vector distribution
under Gaussian noise. In particular, we provide sufficient conditions on a
matrix for its first few singular vectors to have near normal distribution. Our
result can be used to facilitate the error analysis in linear dimension
reduction.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th