Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Certified Mapper: Repeated testing for acyclicity and obstructions to
  the nerve lemma   The Mapper algorithm does not include a check for whether the cover produced
conforms to the requirements of the nerve lemma. To perform a check for
obstructions to the nerve lemma, statistical considerations of multiple testing
quickly arise.
  In this paper, we propose several statistical approaches to finding
obstructions: through a persistent nerve lemma, through simulation testing, and
using a parametric refinement of simulation tests.
  We suggest Certified Mapper -- a method built from these approaches to
generate certificates of non-obstruction, or identify specific obstructions to
the nerve lemma -- and we give recommendations for which statistical approaches
are most appropriate for the task.

3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an