Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable and predictive functional domain selection with application to
  brain images   Motivated by increasing trends of relating brain images to a clinical outcome
of interest, we propose a functional domain selection (FuDoS) method that
effectively selects subregions of the brain associated with the outcome. View
each individual's brain as a 3D functional object, the statistical aim is to
distinguish the region where a regression coefficient $\beta(t)=0$ from
$\beta(t)\neq0$, where $t$ denotes spatial location. FuDoS is composed of two
stages of estimation. We first segment the brain into several small parts based
on the correlation structure. Then, potential subsets are built using the
obtained segments and their predictive performance are evaluated to select the
best subset, augmented by a stability selection criterion. We conduct extensive
simulations both for 1D and 3D functional data, and evaluate its effectiveness
in selecting the true subregion. We also investigate predictive ability of the
selected stable regions. To find the brain regions related to cognitive
ability, FuDoS is applied to the ADNI's PET data. Due to the induced
sparseness, the results naturally provide more interpretable information about
the relations between the regions and the outcome. Moreover, the selected
regions from our analysis show high associations with the expected anatomical
brain areas known to have memory-related functions.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org