5 citations · 20 across the 16 of their papers we have counts for
18 papers
Markov and lattice bases for Forman-Ricci curvature of graphs
Jane Ivy Coons, Giulio Zucal
Discrete Forman-Ricci curvature is a quantity associated to each edge of a graph that describes its local geometry. It has proven to be a useful tool in network analysis in a varie…
Algebraic statistics of Hüsler-Reiss graphical models in multivariate extremes
Carlos Améndola, Jane Ivy Coons, Alexandros Grosdos +1
The field of extreme value statistics is concerned with modeling and predicting rare events. In a Hüsler-Reiss graphical model, a graph represents extremal conditional independence…
Identifiability in Graphical Discrete Lyapunov Models
Cecilie Olesen Recke, Sarah Lumpp, Nataliia Kushnerchuk +4
In this paper, we study discrete Lyapunov models, which consist of steady-state distributions of first-order vector autoregressive models. The parameter matrix of such a model enco…
Geometry of rational quasi-independence models as toric fiber products
Jane Ivy Coons, Heather A. Harrington, Niharika Chakrabarty Paul
We investigate the geometry of a family of log-linear statistical models called quasi-independence models. The toric fiber product is useful for understanding the geometry of param…
Maximum Likelihood Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance
Jane Ivy Coons, Shelby Cox, Aida Maraj +1
A Brownian motion tree (BMT) model is a Gaussian model whose associated set of covariance matrices is linearly constrained according to common ancestry in a phylogenetic tree. We s…
Mixtures of Discrete Decomposable Graphical Models
Yulia Alexandr, Jane Ivy Coons, Nils Sturma
We study mixtures of decomposable graphical models, focusing on their ideals and dimensions. For mixtures of clique stars, we characterize the ideals in terms of ideals of mixtures…
Parametric and nonparametric symmetries in graphical models for extremes
Frank Röttger, Jane Ivy Coons, Alexandros Grosdos
Colored graphical models provide a parsimonious approach to modeling high-dimensional data by exploiting symmetries in the model parameters. In this work, we introduce the notion o…
Mixed volumes of networks with binomial steady-states
Jane Ivy Coons, Mark Curiel, Elizabeth Gross
The steady-state degree of a chemical reaction network is the number of complex steady-states for generic rate constants and initial conditions. One way to bound the steady-state d…
Identifiability of the Rooted Tree Parameter under the Cavender-Farris-Neyman Model with a Molecular Clock
Jane Ivy Coons, Benjamin Hollering
Identifiability of the discrete tree parameter is a key property for phylogenetic models since it is necessary for statistically consistent estimation of the tree from sequence dat…
Rational partition models under iterative proportional scaling
Jane Ivy Coons, Carlotta Langer, Michael Ruddy
In this work we investigate partition models, the subset of log-linear models for which one can perform the iterative proportional scaling (IPS) algorithm to numerically compute th…
Symmetrically colored Gaussian graphical models with toric vanishing ideal
Jane Ivy Coons, Aida Maraj, Pratik Misra +1
A colored Gaussian graphical model is a linear concentration model in which equalities among the concentrations are specified by a coloring of an underlying graph. The model is cal…
Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models
Tobias Boege, Jane Ivy Coons, Christopher Eur +2
We give an explicit formula for the reciprocal maximum likelihood degree of Brownian motion tree models. To achieve this, we connect them to certain toric (or log-linear) models, a…
Generalized Cut Polytopes for Binary Hierarchical Models
Jane Ivy Coons, Joseph Cummings, Benjamin Hollering +1
Marginal polytopes are important geometric objects that arise in statistics as the polytopes underlying hierarchical log-linear models. These polytopes can be used to answer geomet…
Quasi-independence models with rational maximum likelihood estimator
Jane Ivy Coons, Seth Sullivant
We classify the two-way independence quasi-independence models (or independence models with structural zeros) that have rational maximum likelihood estimators, or MLEs. We give a n…
Maximum likelihood degree of the two-dimensional linear Gaussian covariance model
Jane Ivy Coons, Orlando Marigliano, Michael Ruddy
In algebraic statistics, the maximum likelihood degree of a statistical model is the number of complex critical points of its log-likelihood function. A priori knowledge of this nu…
The -polynomial of the order polytope of the zig-zag poset
Jane Ivy Coons, Seth Sullivant
We describe a family of shellings for the canonical triangulation of the order polytope of the zig-zag poset. This gives a new combinatorial interpretation for the coefficients in…
The Cavender-Farris-Neyman Model with a Molecular Clock
Jane Ivy Coons, Seth Sullivant
We give a combinatorial description of the toric ideal of invariants of the Cavender-Farris-Neyman model with a molecular clock (CFN-MC) on a rooted binary phylogenetic tree and pr…
Combinatorics of k-Interval Cospeciation for Cophylogeny
Jane Ivy Coons, Joseph Rusinko
We show that the cophylogenetic distance, k-interval cospeciation, is distinct from other metrics and accounts for global congruence between locally incongruent trees. The growth o…