Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonnegative Tensor Factorization, Completely Positive Tensors and an
  Hierarchical Elimination Algorithm   Nonnegative tensor factorization has applications in statistics, computer
vision, exploratory multiway data analysis and blind source separation. A
symmetric nonnegative tensor, which has a symmetric nonnegative factorization,
is called a completely positive (CP) tensor. The H-eigenvalues of a CP tensor
are always nonnegative. When the order is even, the Z-eigenvalue of a CP tensor
are all nonnegative. When the order is odd, a Z-eigenvector associated with a
positive (negative) Z-eigenvalue of a CP tensor is always nonnegative
(nonpositive). The entries of a CP tensor obey some dominance properties. The
CP tensor cone and the copositive tensor cone of the same order are dual to
each other. We introduce strongly symmetric tensors and show that a symmetric
tensor has a symmetric binary decomposition if and only if it is strongly
symmetric. Then we show that a strongly symmetric, hierarchically dominated
nonnegative tensor is a CP tensor, and present a hierarchical elimination
algorithm for checking this. Numerical examples are also given.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an