Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation of matrices and non-negative rank with a view toward
  statistical models   In this paper we study how perturbing a matrix changes its non-negative rank.
We prove that the non-negative rank is upper-semicontinuos and we describe some
special families of perturbations. We show how our results relate to Statistics
in terms of the study of Maximum Likelihood Estimation for mixture models.

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The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin