Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clustering, multicollinearity, and singular vectors   Let $A$ be a matrix with its pseudo-matrix $A^{\dagger}$ and set
$S=I-A^{\dagger}A$. We prove that, after re-ordering the columns of $A$, the
matrix $S$ has a block-diagonal form where each block corresponds to a set of
linearly dependent columns. This allows us to identify redundant columns in
$A$. We explore some applications in supervised and unsupervised learning,
specially feature selection, clustering, and sensitivity of solutions of least
squares solutions.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph