3 papers
math.CO2026
Piecewise linear functions and neural network expressivity via discriminantal arrangements
Pragnya Das
We extend the hyperplane arrangement framework for neural network expressivity from the braid to discriminantal arrangements. Compatible piecewise linear functions are characterize…
math.CO2026
Hypercube Embeddings And Median Structure In The Intersection Lattice Of Discriminantal Arrangements B(n,k)
Pragnya Das
We investigate the metric structure of the intersection lattice L(B(n,k)) of the discriminantal arrange ment using circuit supports. We show that the cover graph associated with L(…
math.CO2025
Arithmetic non-very generic arrangements
Pragnya Das, Takuya Saito, Simona Settepanella
A discriminantal hyperplane arrangement B(n,k,A) is constructed from a given (generic) hyperplane arrangement A, which is classified as either very generic or non-very generic depe…