49 citations · 298 across the 30 of their papers we have counts for
36 papers
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…
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…
Network and interaction models for data with hierarchical granularity via fragmentation and coagulation
Lancelot F. James, Juho Lee, Nathan Ross
We introduce a nested family of Bayesian nonparametric models for network and interaction data with a hierarchical granularity structure that naturally arises through finer and coa…
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…
Gaussian random field approximation via Stein's method with applications to wide random neural networks
Krishnakumar Balasubramanian, Larry Goldstein, Nathan Ross +1
We derive upper bounds on the Wasserstein distance (), with respect to -norm, between any continuous valued random field indexed by the -sphere and the…
Stein's method, Gaussian processes and Palm measures, with applications to queueing
A. D. Barbour, Nathan Ross, Guangqu Zheng
We develop a general approach to Stein's method for approximating a random process in the path space by a real continuous Gaussian process. We then use the approa…