6 papers
A fixed-point approach to non-commutative central limit theorems
Jad Hamdan
We show how the renormalization group approach can be used to prove quantitative central limit theorems (CLTs) in the setting of free, Boolean, bi-free and bi-Boolean independence…
A note on the exact simulation of a random eigenvalue of a GUE matrix
Luc Devroye, Jad Hamdan
We develop a simple algorithm to generate random variables described by densities equaling squared Hermite functions. As an application, we show how to generate a randomly chosen e…
Optimal Approximation Complexity of High-Dimensional Functions with Neural Networks
Vincent P. H. Goverse, Jad Hamdan, Jared Tanner
We investigate properties of neural networks that use both ReLU and as activation functions and build upon previous results to show that both analytic functions and functions…
Density estimation using cellular binary trees and an application to monotone densities
Luc Devroye, Jad Hamdan
Consider a density on that must be estimated from an i.i.d. sample drawn from . In this note, we study binary-tree-based histogram estimates that use r…
The lattice of arithmetic progressions
Marcel K. Goh, Jad Hamdan, Jonah Saks
This paper concerns the lattice of subsets of that are arithmetic progressions, under the inclusion order. For , this poset is not graded and thus n…
Universal height and width bounds for random trees
Louigi Addario-Berry, Anna Brandenberger, Jad Hamdan +1
We prove non-asymptotic stretched exponential tail bounds on the height of a randomly sampled node in a random combinatorial tree, which we use to prove bounds on the heights and w…