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Tensors of Nonnegative Rank Two (1305.0539v1)
Published 2 May 2013 in math.AG, math.ST, and stat.TH
Abstract: A nonnegative tensor has nonnegative rank at most 2 if and only if it is supermodular and has flattening rank at most 2. We prove this result, then explore the semialgebraic geometry of the general Markov model on phylogenetic trees with binary states, and comment on possible extensions to tensors of higher rank.
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