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

C Berenfeld, P Rosa, J Rousseau - arXiv preprint arXiv:2205.15717, 2022 - arxiv.org
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 …

Statistical inference on unknown manifolds

C Berenfeld - 2022 - theses.hal.science
In high-dimensional statistics, the manifold hypothesis presumes that the data lie near low-
dimensional structures, called manifolds. This assumption helps explain why machine …

Nonparametric Bayesian intensity estimation for covariate-driven inhomogeneous point processes

M Giordano, A Kirichenko, J Rousseau - arXiv preprint arXiv:2312.14073, 2023 - arxiv.org
This work studies nonparametric Bayesian estimation of the intensity function of an
inhomogeneous Poisson point process in the important case where the intensity depends …

Bayesian nonparametric methods for non-exchangeable random structures

G Di Benedetto - 2020 - ora.ox.ac.uk
Bayesian Statistics has been increasingly popular in the last five decades. Besides having
decision theoretic foundation, the Bayesian approach found popularity thanks to the simple …