Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Penalized least squares approximation methods and their applications to
  stochastic processes   We construct an objective function that consists of a quadratic approximation
term and a penalty term. Thanks to the quadratic approximation, we can deal
with various kinds of loss functions into a unified way, and by taking
advantage of the penalty term, we can simultaneously execute variable selection
and parameter estimation. In this article, we show that our estimator has
oracle properties, and even better property. We also treat an stochastic
processes as applications.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol