50 citations · 95 across the 6 of their papers we have counts for
6 papers
Network Parameterizations for the Grassmannian
Kelli Talaska, Lauren Williams
Deodhar introduced his decomposition of partial flag varieties as a tool for understanding Kazhdan-Lusztig polynomials. The Deodhar decomposition of the Grassmannian is also useful…
Positivity for Gaussian graphical models
Jan Draisma, Seth Sullivant, Kelli Talaska
Gaussian graphical models are parametric statistical models for jointly normal random variables whose dependence structure is determined by a graph. In previous work, we introduced…
Determinants of weighted path matrices
Kelli Talaska
We find rational expressions for all minors of the weighted path matrix of a directed graph, generalizing the classical Lindstrom/Gessel-Viennot result for acyclic directed graphs…
Trek separation for Gaussian graphical models
Seth Sullivant, Kelli Talaska, Jan Draisma
Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. Submatrices with low rank correspond to generalizations of conditional in…
Combinatorial formulas for Le-coordinates in a totally nonnegative Grassmannian
Kelli Talaska
Postnikov constructed a decomposition of a totally nonnegative Grassmannian into positroid cells. We provide combinatorial formulas that allow one to decide which cell a given poin…
A formula for Plücker coordinates associated with a planar network
Kelli Talaska
For a planar directed graph G, Postnikov's boundary measurement map sends positive weight functions on the edges of G onto the appropriate totally nonnegative Grassmann cell. We es…