Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recognizable Series on Hypergraphs   We introduce the notion of Hypergraph Weighted Model (HWM) that generically
associates a tensor network to a hypergraph and then computes a value by tensor
contractions directed by its hyperedges. A series r defined on a hypergraph
family is said to be recognizable if there exists a HWM that computes it. This
model generalizes the notion of rational series on strings and trees. We prove
some properties of the model and study at which conditions finite support
series are recognizable.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat