Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum theory as inductive inference   We present the elements of a new approach to the foundations of quantum
theory and probability theory which is based on the algebraic approach to
integration, information geometry, and maximum relative entropy methods. It
enables us to deal with conceptual and mathematical problems of quantum theory
without any appeal to frameworks of Hilbert spaces and measure spaces.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph