Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonnegative Factorization of a Data Matrix as a Motivational Example for
  Basic Linear Algebra   We present a motivating example for matrix multiplication based on factoring
a data matrix. Traditionally, matrix multiplication is motivated by
applications in physics: composing rigid transformations, scaling, sheering,
etc. We present an engaging modern example which naturally motivates a variety
of matrix manipulations, and a variety of different ways of viewing matrix
multiplication. We exhibit a low-rank non-negative decomposition (NMF) of a
"data matrix" whose entries are word frequencies across a corpus of documents.
We then explore the meaning of the entries in the decomposition, find natural
interpretations of intermediate quantities that arise in several different ways
of writing the matrix product, and show the utility of various matrix
operations. This example gives the students a glimpse of the power of an
advanced linear algebraic technique used in modern data science.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio