Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field theoretical approach for signal detection in nearly continuous
  positive spectra III: Universal features   This review paper aims to use the renormalization group technique to address
the problem of signal detection in nearly continuous positive spectra. It is
especially devoted to highlighting universal aspects of the analogue field
theory approach. There are three underlying information in this paper. The
first one is an extended and self-consistent construction of the analogue
effective field theory framework for data, which can be viewed as a maximum
entropy model. In particular, we justify the $\mathbb{Z}_2$-symmetry of the
classical action exploiting universality arguments and stress out the existence
of two regimes, a local regime valid for a large scale and a small scale regime
exhibiting a specific non-locality. The second is based on a systematic
investigation around standard models of noise: we point out the universal
relation between phase transition and symmetry breaking in the vicinity of the
detection threshold. Last but not least, we propose to tackle the open issue of
a good definition of the covariance matrix for tensorial like data. Based on
the "cutting graph" prescription and through a systematic investigation we
stress out the superiority of definitions based on complete graphs of large
size for data analysis.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys