Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General modal estimation for cross-bispectra   We describe a fast, optimal estimator for measuring angular bispectra between
two correlated weakly non-Gaussian fields ($Y$ and $Z$) from observational
datasets, based on a separable modal bispectrum expansion. Our methodology is
applicable to (1) any shape of the input theoretical bispectrum templates
(factorizable or not), (2) both even and odd $\ell_1 + \ell_2 + \ell_3$
multipole domains and (3) both amplitude ($f_{\rm NL})$ bispectrum estimation
and full bispectrum reconstruction, considering either joint estimation of
($YYY$, $ZZZ$, $YYZ$ and $ZZY$) shapes, or independent estimation of
auto-bispectra ($YYY$ or $ZZZ$) and cross-bispectra ($YYZ$ or $ZZY$); hence, it
has quite high versatility. The methodology described here was implemented and
used for the official analysis of temperature and polarization cosmic microwave
background maps from the $Planck$ satellite.

7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom