1 citations · 1 across the 4 of their papers we have counts for
5 papers
Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
Megan Morrison, Sonja Petrović
Many important systems across biology, engineering, physics, and economics are characterized by polynomial ordinary differential equations (ODEs), yet analytical solutions are rare…
Asymptotic properties of random monomial ideals
Fatemeh Mohammadi, Sonja Petrović, Eduardo Sáenz-de-Cabezón
This paper focuses on asymptotic properties of random monomial ideals through a statistical viewpoint. It extends the study of redundancy in monomial ideals by analyzing the poset…
Non-asymptotic goodness-of-fit tests and model selection in valued stochastic blockmodels
Félix Almendra-Hernández, Miles Bakenhus, Vishesh Karwa +2
A valued stochastic blockmodel (SBM) is a general way to view networked data in which nodes are grouped into blocks and links between them are measured by counts or labels. This fa…
New directions in algebraic statistics: Three challenges from 2023
Yulia Alexandr, Miles Bakenhus, Mark Curiel +11
In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geom…
Statistical models for cores decomposition of an undirected random graph
Vishesh Karwa, Michael J. Pelsmajer, Sonja Petrović +2
The -core decomposition is a widely studied summary statistic that describes a graph's global connectivity structure. In this paper, we move beyond using -core decomposition…