7 citations · 10 across the 5 of their papers we have counts for
7 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…
On conditional Sibson's -Mutual Information
Amedeo Roberto Esposito, Diyuan Wu, Michael Gastpar
In this work, we analyse how to define a conditional version of Sibson's -Mutual Information. Several such definitions can be advanced and they all lead to different information…
Robust Generalization via -Mutual Information
Amedeo Roberto Esposito, Michael Gastpar, Ibrahim Issa
The aim of this work is to provide bounds connecting two probability measures of the same event using Rényi -Divergences and Sibson's -Mutual Information, a generalization of…
Generalization Error Bounds Via Rényi-, -Divergences and Maximal Leakage
Amedeo Roberto Esposito, Michael Gastpar, Ibrahim Issa
In this work, the probability of an event under some joint distribution is bounded by measuring it with the product of the marginals instead (which is typically easier to analyze)…