Brian McDonald

collaborators

2 papers

math.CA2025

The VC-dimension and point configurations in $R^{d}$

Alex Iosevich, Akos Magyar, Alex McDonald +1

Given a set $X$ and a collection $H$ of functions from $X$ to ${0, 1}$ , the VC-dimension measures the complexity of the hypothesis class $H$ in the context of…

math.CO2024

Interpolation of point configurations in the discrete plane

Esen Aksoy, Alex Iosevich, Brian McDonald

Defining distances over finite fields formally by $∣∣ x - y ∣∣ := (x_{1} - y_{1})^{2} + \dots + (x_{d} - y_{d})^{2}$ for $x, y \in F_{q}^{d}$ , distance problems naturally arise in analogy to those stu…

The VC-dimension and point configurations in Rd

Interpolation of point configurations in the discrete plane

The VC-dimension and point configurations in $R^{d}$