Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subspace power method for symmetric tensor decomposition and generalized
  PCA   We introduce the Subspace Power Method (SPM) for calculating the CP
decomposition of low-rank even-order real symmetric tensors. This algorithm
applies the tensor power method of Kolda-Mayo to a certain modified tensor,
constructed from a matrix flattening of the original tensor, and then uses
deflation steps. Numerical simulations indicate SPM is roughly one order of
magnitude faster than state-of-the-art algorithms, while performing robustly
for low-rank tensors subjected to additive noise. We obtain rigorous guarantees
for SPM regarding convergence and global optima, for tensors of rank up to
roughly the square root of the number of tensor entries, by drawing on results
from classical algebraic geometry and dynamical systems. In a second
contribution, we extend SPM to compute De Lathauwer's symmetric block term
tensor decompositions. As an application of the latter decomposition, we
provide a method-of-moments for generalized principal component analysis.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph