5 citations · 7 across the 3 of their papers we have counts for
Showing math.STShow all
3 papers · 1 filter
math.ST2009★ 5 cited
High confidence estimates of the mean of heavy-tailed real random variables
Olivier Catoni
We present new estimators of the mean of a real valued random variable, based on PAC-Bayesian iterative truncation. We analyze the non-asymptotic minimax properties of the deviatio…
math.ST2006★ 1 cited
PAC-Bayesian inductive and transductive learning
Olivier Catoni
We present here a PAC-Bayesian point of view on adaptive supervised classification. Using convex analysis, we show how to get local measures of the complexity of the classification…
math.ST2004
Improved Vapnik Cervonenkis bounds
Olivier Catoni
We give a new proof of VC bounds where we avoid the use of symmetrization and use a shadow sample of arbitrary size. We also improve on the variance term. This results in better co…