3 papers
math.AG2026
Tropicalizing polynomial strata
Yan Mary He, Chenxi Wu
Let be the ramification stratum in the parameter space of degree complex polynomials consisting of polynomials with ramification profile $\vecμ^*…
math.GT2024
Relative train tracks and generalized endperiodic graph maps
Yan Mary He, Chenxi Wu
Motivated by the work of Cantwell-Conlon-Fenley on endperiodic homeomorphisms of infinite type surfaces, we define and study endperiodic and generalized endperiodic maps of an infi…
cs.LG2024
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…