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PAC-Bayesian Approaches to Understanding Generalization in Deep Learning - Gintare Dziugaite

Institute for Advanced Study via YouTube

Overview

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Explore PAC-Bayesian approaches to understanding generalization in deep learning through this 32-minute lecture from the Workshop on Theory of Deep Learning: Where next? Delve into topics such as PAC-Bayes generalization bounds, distribution-dependent priors, data-dependent oracle priors for neural networks, and Gaussian network bounds. Learn about the setup, outline, and various PAC-Bayes concepts, including risk bounds for Gibbs classifiers and deterministic classifiers. Examine the empirical evaluation of Lever et al.'s bounds and investigate distribution-dependent approximations of optimal priors via privacy. Gain insights into directly optimizing Variational data-dependent PAC-Bayes generalization bounds. Presented by Gintare Karolina Dziugaite from the Simons Institute for the Theory of Computing, this talk offers a comprehensive overview of PAC-Bayesian approaches in deep learning generalization.

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

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Institute for Advanced Study

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