Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure-preserving low multilinear rank approximation of antisymmetric
  tensors   This paper is concerned with low multilinear rank approximations to
antisymmetric tensors, that is, multivariate arrays for which the entries
change sign when permuting pairs of indices. We show which ranks can be
attained by an antisymmetric tensor and discuss the adaption of existing
approximation algorithms to preserve antisymmetry, most notably a Jacobi
algorithm. Particular attention is paid to the important special case when
choosing the rank equal to the order of the tensor. It is shown that this case
can be addressed with an unstructured rank-$1$ approximation. This allows for
the straightforward application of the higher-order power method, for which we
discuss effective initialization strategies.

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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg