Mathematics – Combinatorics
Scientific paper
2010-10-18
Mathematics
Combinatorics
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.
Bocci Cristiano
Carlini Enrico
Rapallo Fabio
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