Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Capturing the Severity of Type II Errors in High-Dimensional Multiple
  Testing   The severity of type II errors is frequently ignored when deriving a multiple
testing procedure, even though utilizing it properly can greatly help in making
correct decisions. This paper puts forward a theory behind developing a
multiple testing procedure that can incorporate the type II error severity and
is optimal in the sense of minimizing a measure of false non-discoveries among
all procedures controlling a measure of false discoveries. The theory is
developed under a general model allowing arbitrary dependence by taking a
compound decision theoretic approach to multiple testing with a loss function
incorporating the type II error severity. We present this optimal procedure in
its oracle form and offer numerical evidence of its superior performance over
relevant competitors.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc