Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Batch Methods for classical and quantum interacting particle
  systems and statistical samplings   We review the Random Batch Methods (RBM) for interacting particle systems
consisting of $N$-particles, with $N$ being large. The computational cost of
such systems is of $O(N^2)$, which is prohibitively expensive. The RBM methods
use small but random batches so the computational cost is reduced, per time
step, to $O(N)$. In this article we discuss these methods for both classical
and quantum systems, the corresponding theory, and applications from molecular
dynamics, statistical samplings, to agent-based models for collective behavior,
and quantum Monte-Carlo methods.

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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph