Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate functional group sparse regression: functional predictor
  selection   In this paper, we propose methods for functional predictor selection and the
estimation of smooth functional coefficients simultaneously in a
scalar-on-function regression problem under high-dimensional multivariate
functional data setting. In particular, we develop two methods for functional
group-sparse regression under a generic Hilbert space of infinite dimension. We
show the convergence of algorithms and the consistency of the estimation and
the selection (oracle property) under infinite-dimensional Hilbert spaces.
Simulation studies show the effectiveness of the methods in both the selection
and the estimation of functional coefficients. The applications to the
functional magnetic resonance imaging (fMRI) reveal the regions of the human
brain related to ADHD and IQ.

33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph