Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the classification problem for Poisson Point Processes   We study the binary classification problem for Poisson point processes, which
are allowed to take values in a general metric space. The problem is tackled in
two different ways: estimating nonparametricaly the intensity functions of the
processes (and then plugged into a deterministic formula which expresses the
regression function in terms of the intensities), and performing the classical
$k$ nearest neighbor rule by introducing a suitable distance between patterns
of points. In the first approach we prove the consistency of the estimated
intensity so that the rule turns out to be also consistent. For the $k$-NN
classifier, we prove that the regression function fulfils the so called
"Besicovitch condition", usually required for the consistency of the classical
classification rules. The theoretical findings are illustrated on simulated
data, where in one case the $k$-NN rule outperforms the first approach.

36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph