Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new metric to quantify the similarity between planetary systems -
  application to dimensionality reduction using T-SNE   Planet formation models are now often considering the formation of planetary
systems, with more than one planet per system. This raises the question of how
to represent planetary systems in a convenient way, (e.g. for visualisation
purpose) and how to define the similarity between two planetary systems, for
example to compare models and observations. We define a new metric to infer the
similarity between two planetary systems, based on the properties of planets
that belong to these systems. We then compare the similarity of planetary
systems with the similarity of protoplanetary discs in which they form. We
first define a new metric based on mixture of gaussians, and then use this
metric to apply a dimensionality reduction technique, in order to represent
planetary systems (which should be represented in a high dimension space) in a
2 dimension space. This allows us study the structure of a population of
planetary systems and its relation with the characteristics of protoplanetary
discs in which planetary systems form. We show that the new metric can help
finding the underlying structure of populations of planetary systems. In
addition, the similarity between planetary systems as we define in this paper
is correlated with the similarity between the protoplanetary discs in which
these systems form. We finally compare the distribution of inter-system
distances for a set of observed exoplanets, with the distributions obtained
from two models: a population synthesis model, and a model where planetary
systems are constructed by randomly picking synthetic planets. The observed
distribution is shown to be closer to the one derived from the population
synthesis model than from the random systems.

14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol