R. Ascoli

activity

20182023

collaborators

5 papers

math.CO2023

VC-Dimension of Hyperplanes over Finite Fields

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Let $F_{q}^{d}$ be the $d$ -dimensional vector space over the finite field with $q$ elements. For a subset $E \subseteq F_{q}^{d}$ and a fixed nonzero $t \in F_{q}$ ,…

math.NT2022

Sum and Difference Sets in Generalized Dihedral Groups

Ruben Ascoli, Justin Cheigh, Guilherme Zeus Dantas e Moura +6

Given a group $G$ , we say that a set $A \subseteq G$ has more sums than differences (MSTD) if $∣ A + A ∣ > ∣ A - A ∣$ , has more differences than sums (MDTS) if $∣ A + A ∣ < ∣ A - A ∣$ , or is sum-d…

math.CO2022

VC-Dimension and Distance Chains in $F_{q}^{d}$

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Given a domain $X$ and a collection $H$ of functions $h : X \to {0, 1}$ , the Vapnik-Chervonenkis (VC) dimension of $H$ measures its complexity in an appropriate s…

cs.CG2022

Distinct Angles and Angle Chains in Three Dimensions

Ruben Ascoli, Livia Betti, Jacob Lehmann Duke +6

In 1946, Erdős posed the distinct distance problem, which seeks to find the minimum number of distinct distances between pairs of points selected from any configuration of $n$ poin…

math.PR2018

Limitations Of Richardson Extrapolation For Kernel Density Estimation

Ruben G. Ascoli

This paper develops the process of using Richardson Extrapolation to improve the Kernel Density Estimation method, resulting in a more accurate (lower Mean Squared Error) estimate…