Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large data limit for a phase transition model with the p-Laplacian on
  point clouds   The consistency of a nonlocal anisotropic Ginzburg-Landau type functional for
data classification and clustering is studied. The Ginzburg-Landau objective
functional combines a double well potential, that favours indicator valued
function, and the $p$-Laplacian, that enforces regularity. Under appropriate
scaling between the two terms minimisers exhibit a phase transition on the
order of $\epsilon=\epsilon_n$ where $n$ is the number of data points. We study
the large data asymptotics, i.e. as $n\to \infty$, in the regime where
$\epsilon_n\to 0$. The mathematical tool used to address this question is
$\Gamma$-convergence. In particular, it is proved that the discrete model
converges to a weighted anisotropic perimeter.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph