Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Category Theoretical Investigation of the Type Hierarchy for
  Heterogeneous Sensor Integration   Consider the case of many sensors, each returning very different types of
data (e.g., a camera returning images, a thermometer returning probability
distributions, a newspaper returning articles, a traffic counter returning
numbers). Additionally we have a set of questions, or variables, that we wish
to use these sensors to inform (e.g., temperature, location, crowd size,
topic). Rather than using one sensor to inform each variable we wish to
integrate these sources of data to get more robust and complete information.
The problem, of course, is how to inform a variable, e.g., crowd size, using a
number, a newspaper article, and an image. How do we integrate these very
different types of information? Michael Robinson proposes that sheaf theory is
the canonical answer. Moreover, one of the axioms in Robinson's paper which
makes sheaf theory work for data integration is that all data sources have the
structure of a vector space. Therefore, the motivating question for everything
in this report is "How do we interpret arbitrary sensor output as a vector
space with the intent to integrate?"

6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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