3 papers
stat.CO2025
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)…
math.AC2025
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…
stat.ML2024
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…