PAC-Bayesian Approaches to Understanding Generalization in Deep Learning - Gintare Dziugaite
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Overview
Syllabus
Intro
Setup
Outline
PAC-Bayes yields risk bounds for Gibbs classifiers
PAC-Bayes generalization bounds
PAC-Bayes bounds on deterministic classifiers
Recap: Towards a nonvacuous bound on SGD
Can we exploit optimal priors?
Distribution-dependent priors (Lever et al. 2010)
Empirical evaluation of Lever et al.'s bounds
Distribution-dependent approximations of optimal priors via privacy
A question of interpretation
Data-dependent oracle priors for neural networks
Coupled data-dependent approximate oracle priors and posteriors
Gaussian network bounds for Coupled data-dependent priors
Oracle access to optimal prior covariance
Directly optimizing Variational data-dependent PAC-Bayes generalization bound.
Recap and Conclusion
Taught by
Institute for Advanced Study