Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact multiplicative updates for convolutional $\beta$-NMF in 2D   In this paper, we extend the $\beta$-CNMF to two dimensions and derive exact
multiplicative updates for its factors. The new updates generalize and correct
the nonnegative matrix factor deconvolution previously proposed by Schmidt and
M{\o}rup. We show by simulation that the updates lead to a monotonically
decreasing $\beta$-divergence in terms of the mean and the standard deviation
and that the corresponding convergence curves are consistent across the most
common values for $\beta$.

22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th