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math.PR2023
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…
math.PR2023
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…
cs.LG2023
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…