4 papers
Real and Positive Tropicalizations of Symmetric Determinantal Varieties
Abeer Al Ahmadieh, May Cai, Josephine Yu
We study real and positive tropicalizations of the varieties of low rank symmetric matrices over real or complex Puiseux series. We show that real tropicalization coincides with co…
Empirically Exploring the Space of Monostationarity in Dual Phosphorylation
May Cai, Matthias Himmelmann, Birte Ostermann
The dual phosphorylation network provides an essential component of intracellular signaling, affecting the expression of phenotypes and cell metabolism. For particular choices of k…
The Tropical Variety of Symmetric Rank 2 Matrices
May Cai, Kisun Lee, Josephine Yu
We study the tropicalization of the variety of symmetric rank two matrices. Analogously to the result of Markwig and Yu for general tropical rank two matrices, we show that it has…
Completions to Discrete Probability Distributions in Log-linear Models
May Cai, Cecilie Olesen Recke, Thomas Yahl
Completion problems, of recovering a point from a set of observed coordinates, are abundant in applications to image reconstruction, phylogenetics, and data science. We consider a…