3 papers
math.ST2026
Rigidity theory in statistical inference
Daniel Irving Bernstein
In this expository article, we summarize what is known about maximum likelihood thresholds of Gaussian models, paying special attention to connections with rigidity theory.
math.CO2025
The pure condition for incidence geometries
Daniel Irving Bernstein, Signe Lundqvist
The space of \emph{parallel redrawings} of an incidence geometry with an assigned set of normals is the set of points and hyperplanes in satisfying the inc…
math.ST2023
Maximum likelihood thresholds of Gaussian graphical models and graphical lasso
Daniel Irving Bernstein, Hayden Outlaw
Associated to each graph G is a Gaussian graphical model. Such models are often used in high-dimensional settings, i.e. where there are relatively few data points compared to the n…