14 citations · 27 across the 17 of their papers we have counts for
3 papers · 1 filter
From Generalisation Error to Transportation-cost Inequalities and Back
Amedeo Roberto Esposito, Michael Gastpar
In this work, we connect the problem of bounding the expected generalisation error with transportation-cost inequalities. Exposing the underlying pattern behind both approaches we…
On Sibson's -Mutual Information
Amedeo Roberto Esposito, Adrien Vandenbroucque, Michael Gastpar
We explore a family of information measures that stems from Rényi's -Divergences with . In particular, we extend the definition of Sibson's -Mutual Information to negati…
Lower-bounds on the Bayesian Risk in Estimation Procedures via -Divergences
Adrien Vandenbroucque, Amedeo Roberto Esposito, Michael Gastpar
We consider the problem of parameter estimation in a Bayesian setting and propose a general lower-bound that includes part of the family of -Divergences. The results are then ap…