Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotating stellar core-collapse waveform decompositon: a Principal
  Component Analysis approach   This paper introduces the use of Principal Component Analysis as a method to
decompose the waveform catalogues to produce a set of orthonormal basis
vectors. We apply this method to a set of supernova waveforms and compare the
basis vectors obtained with those obtained through Gram-Schmidt decomposition.
We observe that, for the chosen set of waveforms, the performance of the two
methods are comparable for minimal match requirements up to 0.9, with 14
Gram-Schmidt basis vectors and 12 principal components required for a minimal
match of 0.9. This implies that there are many common features in the chosen
waveforms. Additionally, we observe the chosen waveforms have very similar
features and a minimal match of 0.7 can be obtained by decomposing only one
third of the entire set of waveforms in the chosen catalogue. We discuss the
implications of this observation and the advantages of eigen-decomposing
waveform catalogues with Principal Component Analysis.

26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph