Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the ideals of equivariant tree models   We introduce equivariant tree models in algebraic statistics, which unify and
generalise existing tree models such as the general Markov model, the strand
symmetric model, and group based models. We focus on the ideals of such models.
We show how the ideals for general trees can be determined from the ideals for
stars. The main novelty is our proof that this procedure yields the entire
ideal, not just an ideal defining the model set-theoretically. A corollary of
theoretical importance is that the ideal for a general tree is generated by the
ideals of its flattenings at vertices.

32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci