155 citations · 657 across the 41 of their papers we have counts for
46 papers
Subtractive random forests
Nicolas Broutin, Luc Devroye, Gabor Lugosi +1
Motivated by online recommendation systems, we study a family of random forests. The vertices of the forest are labeled by integers. Each non-positive integer is the root…
A proof of Sanov's Theorem via discretizations
Rangel Baldasso, Roberto I. Oliveira, Alan Pereira +1
We present an alternative proof of Sanov's theorem for Polish spaces in the weak topology that follows via discretization arguments. We combine the simpler version of Sanov's Theor…
The contact process over a dynamical d-regular graph
Gabriel Leite Baptista da Silva, Roberto Imbuzeiro Oliveira, Daniel Valesin
We consider the contact process on a dynamic graph defined as a random -regular graph with a stationary edge-switching dynamics. In this graph dynamics, independently of the con…
A mean-field limit for certain deep neural networks
Dyego Araújo, Roberto I. Oliveira, Daniel Yukimura
Understanding deep neural networks (DNNs) is a key challenge in the theory of machine learning, with potential applications to the many fields where DNNs have been successfully use…
Interacting diffusions on sparse graphs: hydrodynamics from local weak limits
Roberto I. Oliveira, Guilherme H. Reis, Lucas M. Stolerman
We prove limit theorems for systems of interacting diffusions on sparse graphs. For example, we deduce a hydrodynamic limit and the propagation of chaos property for the stochastic…
A high dimensional Central Limit Theorem for martingales, with applications to context tree models
Alexandre Belloni, Roberto I. Oliveira
We establish a central limit theorem for (a sequence of) multivariate martingales which dimension potentially grows with the length of the martingale. A consequence of the resu…