Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of observed mechanical motions with Artificial
  Intelligence tools   The goal of this paper is to determine the laws of observed trajectories
assuming that there is a mechanical system in the background and using these
laws to continue the observed motion in a plausible way. The laws are
represented by neural networks with a limited number of parameters. The
training of the networks follows the Extreme Learning Machine idea. We
determine laws for different levels of embedding, thus we can represent not
only the equation of motion but also the symmetries of different kinds. In the
recursive numerical evolution of the system, we require the fulfillment of all
the observed laws, within the determined numerical precision. In this way, we
can successfully reconstruct both integrable and chaotic motions, as we
demonstrate in the example of the gravity pendulum and the double pendulum.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org