Perturbation of matrices and non-negative rank with a view toward statistical models

Mathematics – Combinatorics

Scientific paper

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13 pages, 3 figures. A theorem has been rewritten, and some improvements in the presentations have been implemented

Scientific paper

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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