Paul Rosa

collaborators

3 papers

math.ST2025

$L^{2} -$ posterior contraction rates for Gaussian process and random series priors in Bayesian nonparametric regression models

Paul Rosa

The nonparametric regression model with normal errors has been extensively studied, both from the frequentist and Bayesian viewpoint. A central result in Bayesian nonparametrics is…

math.ST2024

Nonparametric regression on random geometric graphs sampled from submanifolds

Paul Rosa, Judith Rousseau

We consider the nonparametric regression problem when the covariates are located on an unknown smooth compact submanifold of a Euclidean space. Under defining a random geometric gr…

math.ST2024

Estimating a density near an unknown manifold: a Bayesian nonparametric approach

We study the Bayesian density estimation of data living in the offset of an unknown submanifold of the Euclidean space. In this perspective, we introduce a new notion of anisotropi…

L2−posterior contraction rates for Gaussian process and random series priors in Bayesian nonparametric regression models

Nonparametric regression on random geometric graphs sampled from submanifolds

Estimating a density near an unknown manifold: a Bayesian nonparametric approach

$L^{2} -$ posterior contraction rates for Gaussian process and random series priors in Bayesian nonparametric regression models