1 citations · 1 across the 5 of their papers we have counts for
5 papers
Multilevel Sampling in Algebraic Statistics
Nathan Kirk, Ivan Gvozdanović, Sonja Petrović
This paper proposes a multilevel sampling algorithm for fiber sampling problems in algebraic statistics, inspired by Henry Wynn's suggestion to adapt multilevel Monte Carlo (MLMC)…
Computation of dominant ideals
Anna Maria Bigatti, Nursel Erey, Selvi Kara +4
We consider the problem of determining whether a monomial ideal is dominant. This property is critical for determining for which monomial ideals the Taylor resolution is minimal. W…
Learning to sample fibers for goodness-of-fit testing
Ivan Gvozdanović, Sonja Petrović
We consider the problem of constructing exact goodness-of-fit tests for discrete exponential family models. This classical problem remains practically unsolved for many types of st…
The Weak Lefschetz property and unimodality of Hilbert functions of random monomial algebras
Uwe Nagel, Sonja Petrović
In this work, we investigate the presence of the weak Lefschetz property (WLP) and Hilbert functions for various types of random standard graded Artinian algebras. If an algebra ha…
Identifiability of 2-tree mixtures for group-based models
Elizabeth S. Allman, Sonja Petrović, John A. Rhodes +1
Phylogenetic data arising on two possibly different tree topologies might be mixed through several biological mechanisms, including incomplete lineage sorting or horizontal gene tr…