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 Bayesian Learning



The Memory Perturbation Equation: Understanding Model's Sensitivity to Data Peter Nickl

Neural Information Processing Systems

Understanding model's sensitivity to its training data is crucial but can also be challenging and costly, especially during training. To simplify such issues, we present the Memory-Perturbation Equation (MPE) which relates model's sensitivity to perturbation in its training data.




PAC-Bayes under potentially heavy tails

Neural Information Processing Systems

WederivePAC-Bayesian learning guarantees forheavy-tailed losses, andobtain a novel optimal Gibbs posterior which enjoys finite-sample excess risk bounds atlogarithmic confidence. Ourcoretechnique itselfmakesuseofPAC-Bayesian inequalities in order to derive a robust risk estimator, which by design is easy to compute.