3 papers
math.PR2026
Correlated uniform attachment trees
Johannes Bäumler, Miklós Z. Rácz, Nathan Ross +1
We introduce and study a new model of correlated uniform attachment (UA) trees, where correlation is sprinkled throughout the time evolution of the process. In this model, two UA t…
stat.ML2026
Finite-Dimensional Gaussian Approximation for Deep Neural Networks: Universality in Random Weights
Krishnakumar Balasubramanian, Nathan Ross
We study the Finite-Dimensional Distributions (FDDs) of deep neural networks with randomly initialized weights that have finite-order moments. Specifically, we establish Gaussian a…
math.PR2025
Cutoff for the logistic SIS epidemic model with self-infection
Roxanne He, Malwina Luczak, Nathan Ross
We study a variant of the classical Markovian logistic SIS epidemic model on a complete graph, which has the additional feature that healthy individuals can become infected without…