2 papers
math.AG2025
Galois Groups in Enumerative Geometry and Applications
Frank Sottile, Thomas Yahl
As Jordan observed in 1870, just as univariate polynomials have Galois groups, so do problems in enumerative geometry. Despite this pedigree, the study of Galois groups in enumerat…
cs.LG2025
Activation degree thresholds and expressiveness of polynomial neural networks
Bella Finkel, Jose Israel Rodriguez, Chenxi Wu +1
We study the expressive power of deep polynomial neural networks through the geometry of their neurovariety. We introduce the notion of the activation degree threshold of a network…