Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinantal thinning of point processes with network learning
  applications   A new type of dependent thinning for point processes in continuous space is
proposed, which leverages the advantages of determinantal point processes
defined on finite spaces and, as such, is particularly amenable to statistical,
numerical, and simulation techniques. It gives a new point process that can
serve as a network model exhibiting repulsion. The properties and functions of
the new point process, such as moment measures, the Laplace functional, the
void probabilities, as well as conditional (Palm) characteristics can be
estimated accurately by simulating the underlying (non-thinned) point process,
which can be taken, for example, to be Poisson. This is in contrast (and
preference to) finite Gibbs point processes, which, instead of thinning,
require weighting the Poisson realizations, involving usually intractable
normalizing constants. Models based on determinantal point processes are also
well suited for statistical (supervised) learning techniques, allowing the
models to be fitted to observed network patterns with some particular geometric
properties. We illustrate this approach by imitating with determinantal
thinning the well-known Mat{\'e}rn~II hard-core thinning, as well as a
soft-core thinning depending on nearest-neighbour triangles. These two examples
demonstrate how the proposed approach can lead to new, statistically optimized,
probabilistic transmission scheduling schemes.

16
The categories of this paper are: stat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph