42 citations · 68 across the 7 of their papers we have counts for
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math.ST2015★ 7 cited
PAC-Bayesian bounds for Principal Component Analysis in Hilbert spaces
Ilaria Giulini
Based on some new robust estimators of the covariance matrix, we propose stable versions of Principal Component Analysis (PCA) and we qualify it independently of the dimension of t…
math.ST2015
Robust dimension-free Gram operator estimates
Ilaria Giulini
In this paper we investigate the question of estimating the Gram operator by a robust estimator from an i.i.d. sample in a separable Hilbert space and we present uniform bounds tha…