Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599172 | Linear Algebra and its Applications | 2015 | 17 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels, Piotr Zwiernik,