Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Practical Guide to the Numerical Implementation of Tensor Networks I:
  Contractions, Decompositions and Gauge Freedom   We present an overview of the key ideas and skills necessary to begin
implementing tensor network methods numerically, which is intended to
facilitate the practical application of tensor network methods for researchers
that are already versed with their theoretical foundations. These skills
include an introduction to the contraction of tensor networks, to optimal
tensor decompositions, and to the manipulation of gauge degrees of freedom in
tensor networks. The topics presented are of key importance to many common
tensor network algorithms such as DMRG, TEBD, TRG, PEPS and MERA.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci