Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Convergence of Alternating Least Squares Optimisation in Tensor
  Format Representations   The approximation of tensors is important for the efficient numerical
treatment of high dimensional problems, but it remains an extremely challenging
task. One of the most popular approach to tensor approximation is the
alternating least squares method. In our study, the convergence of the
alternating least squares algorithm is considered. The analysis is done for
arbitrary tensor format representations and based on the multiliearity of the
tensor format. In tensor format representation techniques, tensors are
approximated by multilinear combinations of objects lower dimensionality. The
resulting reduction of dimensionality not only reduces the amount of required
storage but also the computational effort.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol