Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean conservation for density estimation via diffusion using the finite
  element method   We propose boundary conditions for the diffusion equation that maintain the
initial mean and the total mass of a discrete data sample in the density
estimation process. A complete study of this framework with numerical
experiments using the finite element method is presented for the one
dimensional diffusion equation, some possible applications of this results are
presented as well. We also comment on a similar methodology for the
two-dimensional diffusion equation for future applications in two-dimensional
domains.

37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph