5 papers
Decomposing Determinantal Varieties from Statistics via Matroid Theory
Per Alexandersson, Yulia Alexandr, Emiliano Liwski +2
We study determinantal varieties from conditional independence models with hidden variables, focusing on their irreducible decompositions, dimensions, degrees, and Gröbner bases.…
Decomposing conditional independence ideals with hidden variables
Yulia Alexandr, Kristen Dawson, Hannah Friedman +3
We study a family of determinantal ideals whose decompositions encode the structural zeros in conditional independence models with hidden variables. We provide explicit decompositi…
Characteristic Imsets for Cyclic Linear Causal Models and the Chickering Ideal
Joseph Johnson, Pardis Semnani
Two directed graphs are called covariance equivalent if they induce the same set of covariance matrices, up to a Lebesgue measure zero set, on the random variables of their associa…
Path-Dependent SDEs: Solutions and Parameter Estimation
Pardis Semnani, Vincent Guan, Elina Robeva +1
We develop a consistent method for estimating the parameters of a rich class of path-dependent SDEs, called signature SDEs, which can model general path-dependent phenomena. Path s…
Causal Structure Learning in Directed, Possibly Cyclic, Graphical Models
Pardis Semnani, Elina Robeva
We consider the problem of learning a directed graph from observational data. We assume that the distribution which gives rise to the samples is Markov and faithful to th…