Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global and Simultaneous Hypothesis Testing for High-Dimensional Logistic
  Regression Models   High-dimensional logistic regression is widely used in analyzing data with
binary outcomes. In this paper, global testing and large-scale multiple testing
for the regression coefficients are considered in both single- and
two-regression settings. A test statistic for testing the global null
hypothesis is constructed using a generalized low-dimensional projection for
bias correction and its asymptotic null distribution is derived. A lower bound
for the global testing is established, which shows that the proposed test is
asymptotically minimax optimal over some sparsity range. For testing the
individual coefficients simultaneously, multiple testing procedures are
proposed and shown to control the false discovery rate (FDR) and falsely
discovered variables (FDV) asymptotically. Simulation studies are carried out
to examine the numerical performance of the proposed tests and their
superiority over existing methods. The testing procedures are also illustrated
by analyzing a data set of a metabolomics study that investigates the
association between fecal metabolites and pediatric Crohn's disease and the
effects of treatment on such associations.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
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
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th