Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A PRQ Search Method for Probabilistic Objects   This article proposes an PQR search method for probabilistic objects. The
main idea of our method is to use a strategy called \textit{pre-approximation}
that can reduce the initial problem to a highly simplified version, implying
that it makes the rest of steps easy to tackle. In particular, this strategy
itself is pretty simple and easy to implement. Furthermore, motivated by the
cost analysis, we further optimize our solution. The optimizations are mainly
based on two insights: (\romannumeral 1) the number of \textit{effective
subdivision}s is no more than 1; and (\romannumeral 2) an entity with the
larger \textit{span} is more likely to subdivide a single region. We
demonstrate the effectiveness and efficiency of our proposed approaches through
extensive experiments under various experimental settings.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
2
The categories of this paper are: math