Tensors of Nonnegative Rank Two
Algebraic Geometry
2013-05-03 v1 Statistics Theory
Statistics Theory
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
Cite
@article{arxiv.1305.0539,
title = {Tensors of Nonnegative Rank Two},
author = {Elizabeth S. Allman and John A. Rhodes and Bernd Sturmfels and Piotr Zwiernik},
journal= {arXiv preprint arXiv:1305.0539},
year = {2013}
}
Comments
22 pages, 1 figure