6 papers
Identifiability of phylogenetic networks and quintet concordance factors
Joseph Cummings, Maize Curiel, Bryan Currie +3
Several statistical methods of phylogenetic network inference and testing for non-tree-like relationships are based on assessing genomic data through quartet Concordance Factors, t…
Common Real Secants to Pairs of Real Twisted Cubic Curves
Saima Aslam, Matthew Faust, Jonathan D. Hauenstein +5
It is well established that a general pair of twisted cubic curves in complex projective space has ten common secant lines. As an initial investigation, we show that the monodromy…
The poset of maximal tubings of the cycle graph is a lattice
Ben Adenbaum, Emily Barnard, Max Hlavacek +4
The poset of maximal tubings of a graph generalizes several well-known and remarkable partial orders. Notable examples include the weak Bruhat order and the Tamari lattice, posets…
Identifiability of Large Phylogenetic Mixtures for Many Phylogenetic Model Structures
Bryson Kagy, Seth Sullivant
Identifiability of phylogenetic models is a necessary condition to ensure that the model parameters can be uniquely determined from data. Mixture models are phylogenetic models whe…
Methodological considerations for semialgebraic hypothesis testing with incomplete U-statistics
David Barnhill, Marina Garrote-López, Elizabeth Gross +4
Recently, Sturma, Drton, and Leung proposed a general-purpose stochastic method for hypothesis testing in models defined by polynomial equality and inequality constraints. Notably,…
Equidistant Circular Split Networks
Bryson Kagy, Seth Sullivant
Phylogenetic networks are generalizations of trees that allow for the modeling of non-tree like evolutionary processes. Split networks give a useful way to construct networks with…