Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding the stochastic partial differential equation approach to
  smoothing   Correlation and smoothness are terms used to describe a wide variety of
random quantities. In time, space, and many other domains, they both imply the
same idea: quantities that occur closer together are more similar than those
further apart. Two popular statistical models that represent this idea are
basis-penalty smoothers (Wood, 2017) and stochastic partial differential
equations (SPDE) (Lindgren et al., 2011). In this paper, we discuss how the
SPDE can be interpreted as a smoothing penalty and can be fitted using the R
package mgcv, allowing practitioners with existing knowledge of smoothing
penalties to better understand the implementation and theory behind the SPDE
approach.

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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio