1 citations · 1 across the 5 of their papers we have counts for
5 papers
Complete collineations for maximum likelihood estimation
Gergely Bérczi, Eloise Hamilton, Philipp Reichenbach +1
We import the algebro-geometric notion of a complete collineation into the study of maximum likelihood estimation in directed Gaussian graphical models. A complete collineation pro…
An ML approach to resolution of singularities
Gergely Bérczi, Honglu Fan, Mingcong Zeng
The solution set of a system of polynomial equations typically contains ill-behaved, singular points. Resolution is a fundamental process in geometry in which we replace singular p…
Tautological integrals on Hilbert scheme of points II: Geometric subsets
Gergely Bérczi
We develop a formula for tautological integrals over geometric subsets of the Hilbert scheme of points on complex manifolds. As an illustration of the theory, we derive a new itera…
Tautological integrals on Hilbert scheme of points I
Gergely Bérczi
We develop a new method to study intersection theory of the main component of the Hilbert scheme of points on complex manifolds. The main result is an iterated residue formula for…
Multiple-point residue formulas for holomorphic maps
Gergely Bérczi, András Szenes
We develop a new approach to the study of the multipoint loci of holomorphic maps between complex manifolds. We relate the -fold locus to the curvilinear component of the Hilber…