Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-Inertia Limit: from Particle Swarm Optimization to Consensus Based
  Optimization   Recently a continuous description of the particle swarm optimization (PSO)
based on a system of stochastic differential equations was proposed by Grassi
and Pareschi in arXiv:2012.05613 where the authors formally showed the link
between PSO and the consensus based optimization (CBO) through zero-inertia
limit. This paper is devoted to solving this theoretical open problem proposed
in arXiv:2012.05613 by providing a rigorous derivation of CBO from PSO through
the limit of zero inertia, and a quantified convergence rate is obtained as
well. The proofs are based on a probabilistic approach by investigating the
weak convergence of the corresponding stochastic differential equations (SDEs)
of Mckean type in the continuous path space and the results are illustrated
with some numerical examples.

4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph