Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Self-consistent-field Iteration for Orthogonal Canonical Correlation
  Analysis   We propose an efficient algorithm for solving orthogonal canonical
correlation analysis (OCCA) in the form of trace-fractional structure and
orthogonal linear projections. Even though orthogonality has been widely used
and proved to be a useful criterion for pattern recognition and feature
extraction, existing methods for solving OCCA problem are either numerical
unstable by relying on a deflation scheme, or less efficient by directly using
generic optimization methods. In this paper, we propose an alternating
numerical scheme whose core is the sub-maximization problem in the
trace-fractional form with an orthogonal constraint. A customized
self-consistent-field (SCF) iteration for this sub-maximization problem is
devised. It is proved that the SCF iteration is globally convergent to a KKT
point and that the alternating numerical scheme always converges. We further
formulate a new trace-fractional maximization problem for orthogonal multiset
CCA (OMCCA) and then propose an efficient algorithm with an either Jacobi-style
or Gauss-Seidel-style updating scheme based on the same SCF iteration.
Extensive experiments are conducted to evaluate the proposed algorithms against
existing methods including two real world applications: multi-label
classification and multi-view feature extraction. Experimental results show
that our methods not only perform competitively to or better than baselines but
also are more efficient.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex