24 citations · 96 across the 23 of their papers we have counts for
29 papers
Quantitative QSD convergence in 1-Wasserstein distance via the Föllmer drift
Joaquín Fontbona, Pablo López-Rivera
We develop a novel pathwise approach to study the convergence of the law of killed diffusion processes conditioned on non-absorption, towards a quasi-stationary distribution (QSD)…
Stochastic Gradient Descent for Barycenters in Wasserstein Space
Julio Backhoff-Veraguas, Joaquin Fontbona, Gonzalo Rios +1
We present and study a novel algorithm for the computation of 2-Wasserstein population barycenters of absolutely continuous probability measures on Euclidean space. The proposed me…
A novel notion of barycenter for probability distributions based on optimal weak mass transport
Elsa Cazelles, Felipe Tobar, Joaquín Fontbona
We introduce weak barycenters of a family of probability distributions, based on the recently developed notion of optimal weak transport of mass by Gozlanet al. (2017) and Backhoff…
Data Science for Engineers: A Teaching Ecosystem
Felipe Tobar, Felipe Bravo-Marquez, Jocelyn Dunstan +4
We describe an ecosystem for teaching data science (DS) to engineers which blends theory, methods, and applications, developed at the Faculty of Physical and Mathematical Sciences,…
Quantitative mean-field limit for interacting branching diffusions
Joaquín Fontbona, Felipe Muñoz-Hernández
We establish an explicit rate of convergence for some systems of mean-field interacting diffusions with logistic binary branching towards the solutions of nonlinear evolution equat…
Generalized entropy minimization under full marginal constraints
Julio Backhoff-Veraguas, Joaquín Fontbona
We consider the problem of minimizing a generalized relative entropy, with respect to a reference diffusion law, over the set of path-measures with fully prescribed marginal distri…