42 citations · 42 across the 1 of their papers we have counts for
3 papers
math.ST2018
Dimension-free PAC-Bayesian bounds for the estimation of the mean of a random vector
Olivier Catoni, Ilaria Giulini
In this paper, we present a new estimator of the mean of a random vector, computed by applying some threshold function to the norm. Non asymptotic dimension-free almost sub-Gaussia…
math.ST2017★ 42 cited
Dimension-free PAC-Bayesian bounds for matrices, vectors, and linear least squares regression
Olivier Catoni, Ilaria Giulini
This paper is focused on dimension-free PAC-Bayesian bounds, under weak polynomial moment assumptions, allowing for heavy tailed sample distributions. It covers the estimation of t…
math.ST2016
Kernel Spectral Clustering
Ilaria Giulini
We investigate the question of studying spectral clustering in a Hilbert space where the set of points to cluster are drawn i.i.d. according to an unknown probability distribution…