Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the convergence of an improved and adaptive kinetic simulated
  annealing   Inspired by the work of [Fang et al.. An improved annealing method and its
large-time behaviour. Stochastic Process. Appl. (1997), Volume 71 Issue 1 Page
55-74.], who propose an improved simulated annealing algorithm based on a
variant of overdamped Langevin diffusion with state-dependent diffusion
coefficient, we cast this idea in the kinetic setting and develop an improved
kinetic simulated annealing (IKSA) method for minimizing a target function $U$.
To analyze its convergence, we utilize the framework recently introduced by
[Monmarch\'{e}. Hypocoercivity in metastable settings and kinetic simulated
annealing. Probab. Theory Related Fields (2018), Volume 172 Page 1215-1248.]
for the case of kinetic simulated annealing (KSA). The core idea of IKSA rests
on introducing a parameter $c > \inf U$, which de facto modifies the
optimization landscape and clips the critical height in IKSA at a maximum of $c
- \inf U$. Consequently IKSA enjoys improved convergence with faster
logarithmic cooling than KSA. To tune the parameter $c$, we propose an adaptive
method that we call IAKSA which utilizes the running minimum generated by the
algorithm on the fly, thus avoiding the need to manually adjust $c$ for better
performance. We present positive numerical results on some standard global
optimization benchmark functions that verify the improved convergence of IAKSA
over other Langevin-based annealing methods.

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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th