93 citations · 105 across the 11 of their papers we have counts for
16 papers
Longitudinal Network Models and Permutation-Uniform Markov Chains
William K. Schwartz, Sonja Petrović, Hemanshu Kaul
Consider longitudinal networks whose edges turn on and off according to a discrete-time Markov chain with exponential-family transition probabilities. We characterize when their jo…
Learning a performance metric of Buchberger's algorithm
Jelena Mojsilović, Dylan Peifer, Sonja Petrović
What can be (machine) learned about the complexity of Buchberger's algorithm? Given a system of polynomials, Buchberger's algorithm computes a Gröbner basis of the ideal these poly…
Threaded Gröbner Bases: a Macaulay2 package
Sonja Petrović, Shahrzad Jamshidi Zelenberg
The complexity of Gröbner computations has inspired many improvements to Buchberger's algorithm over the years. Looking for further insights into the algorithm's performance, we of…
Algebraic statistics, tables, and networks: The Fienberg advantage
Elizabeth Gross, Vishesh Karwa, Sonja Petrović
Stephen Fienberg's affinity for contingency table problems and reinterpreting models with a fresh look gave rise to a new approach for hypothesis testing of network models that are…
What is... a Markov basis?
Sonja Petrović
This short piece defines a Markov basis. The aim is to introduce the statistical concept to mathematicians.
Algebraic Statistics in Practice: Applications to Networks
Marta Casanellas, Sonja Petrović, Caroline Uhler
Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra and computational algebra), geometry and combinatorics to provide insight int…