Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: StarTrek: Combinatorial Variable Selection with False Discovery Rate
  Control   Variable selection on the large-scale networks has been extensively studied
in the literature. While most of the existing methods are limited to the local
functionals especially the graph edges, this paper focuses on selecting the
discrete hub structures of the networks. Specifically, we propose an
inferential method, called StarTrek filter, to select the hub nodes with
degrees larger than a certain thresholding level in the high dimensional
graphical models and control the false discovery rate (FDR). Discovering hub
nodes in the networks is challenging: there is no straightforward statistic for
testing the degree of a node due to the combinatorial structures; complicated
dependence in the multiple testing problem is hard to characterize and control.
In methodology, the StarTrek filter overcomes this by constructing p-values
based on the maximum test statistics via the Gaussian multiplier bootstrap. In
theory, we show that the StarTrek filter can control the FDR by providing
accurate bounds on the approximation errors of the quantile estimation and
addressing the dependence structures among the maximal statistics. To this end,
we establish novel Cram\'er-type comparison bounds for the high dimensional
Gaussian random vectors. Comparing to the Gaussian comparison bound via the
Kolmogorov distance established by \citet{chernozhukov2014anti}, our
Cram\'er-type comparison bounds establish the relative difference between the
distribution functions of two high dimensional Gaussian random vectors. We
illustrate the validity of the StarTrek filter in a series of numerical
experiments and apply it to the genotype-tissue expression dataset to discover
central regulator genes.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int