Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Likelihood Equations and Scattering Amplitudes   We relate scattering amplitudes in particle physics to maximum likelihood
estimation for discrete models in algebraic statistics. The scattering
potential plays the role of the log-likelihood function, and its critical
points are solutions to rational function equations. We study the ML degree of
low-rank tensor models in statistics, and we revisit physical theories proposed
by Arkani-Hamed, Cachazo and their collaborators. Recent advances in numerical
algebraic geometry are employed to compute and certify critical points. We also
discuss positive models and how to compute their string amplitudes.

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con