activity
20072026
most citedBayesian linear regression with sparse priors

280 citations · 916 across the 24 of their papers we have counts for

collaborators

30 papers

math.ST2026

Multiple testing with the horseshoe

Sayantan Banerjee, Ismaël Castillo, Fanny Villers

We study multiple testing under continuous global--local shrinkage priors, with a focus on the horseshoe prior in high-dimensional sparse settings. While such priors provide adapti…

stat.ML2024

A variational Bayes approach to inference for low-dimensional parameters in high-dimensional linear regression

Ismaël Castillo, Alice L'Huillier, Kolyan Ray +1

We propose a scalable variational Bayes method for statistical inference for a single or pre-specified low-dimensional subset of the coordinates of a high-dimensional parameter in…

math.ST2024

Deep Horseshoe Gaussian Processes

Ismaël Castillo, Thibault Randrianarisoa

Deep Gaussian processes have recently been proposed as natural objects to fit, similarly to deep neural networks, possibly complex features present in modern data samples, such as…

math.ST2024

Bayesian nonparametric statistics, St-Flour lecture notes

Ismaël Castillo

These are lecture notes of the 51st Saint-Flour summer school, July 2023, on the topic of Bayesian nonparametric statistics

math.ST2023★ 1 cited

Heavy-tailed Bayesian nonparametric adaptation

Sergios Agapiou, Ismaël Castillo

We propose a new Bayesian strategy for adaptation to smoothness in nonparametric models based on heavy tailed series priors. We illustrate it in a variety of settings, showing in p…

math.ST2023★ 2 cited

Semiparametric inference using fractional posteriors

Alice L'Huillier, Luke Travis, Ismaël Castillo +1

We establish a general Bernstein--von Mises theorem for approximately linear semiparametric functionals of fractional posterior distributions based on nonparametric priors. This is…