Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Visualizing Basins of Attraction for Different Minimization Algorithms   We report a study of the basins of attraction for potential energy minima
defined by different minimisation algorithms for an atomic system. We find that
whereas some minimisation algorithms produce compact basins, others produce
basins with complex boundaries or basins consisting of disconnected parts. Such
basins deviate from the "correct" basin of attraction defined by
steepest-descent pathways, and the differences can be controlled to some extent
by adjustment of the maximum step size. The choice of the most convenient
minimisation algorithm depends on the problem in hand. We show that while
L-BFGS is the fastest minimiser, the FIRE algorithm is also quite fast, and can
lead to less fragmented basins of attraction.

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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int