466 citations · 553 across the 25 of their papers we have counts for
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Tensors of Nonnegative Rank Two
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels +1
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 geomet…
Tensor Rank, Invariants, Inequalities, and Applications
Elizabeth S. Allman, Peter D. Jarvis, John A. Rhodes +1
Though algebraic geometry over is often used to describe the closure of the tensors of a given size and complex rank, this variety includes tensors of both smaller and…
Phylogenetic ideals and varieties for the general Markov model
Elizabeth S. Allman, John A. Rhodes
The general Markov model of the evolution of biological sequences along a tree leads to a parameterization of an algebraic variety. Understanding this variety and the polynomials,…